Geometry

Problem 2301

Find the expression for the area of a triangular attic floor with height $n \mathrm{yd}$ and base $6 \mathrm{yd}$ .

See Solution

Problem 2302

Find the perimeter of a rectangle with area $102 \mathrm{~cm}^{2}$ and length $17 \mathrm{~cm}$ .

See Solution

Problem 2303

Find the number of sides in a regular polygon where the ratio of interior angle to exterior angle is $7: 1$ .

See Solution

Problem 2304

삼각형의 변이 $x-1, x, x+1$ 일 때, $x$ 의 가능한 값 중 아닌 것은? (1) 2 (2) 3 (3) 4 (4) 5 (5) 6

See Solution

Problem 2305

Calcola perimetro e area di un triangolo rettangolo con cateti di $10 \mathrm{~cm}$ e $24 \mathrm{~cm}$ .

See Solution

Problem 2306

Calcola perimetro e area di un triangolo rettangolo con ipotenusa $75 \mathrm{~cm}$ e cateto $45 \mathrm{~cm}$ .

See Solution

Problem 2307

Calcola il perimetro e l'area di un triangolo rettangolo con ipotenusa $75 \mathrm{~cm}$ e cateto $45 \mathrm{~cm}$ .

See Solution

Problem 2308

Find the interior angle in terms of the exterior angle $x$ given the ratio of interior to exterior angles is $7:1$ .

See Solution

Problem 2309

Un triangolo rettangolo ha area $180 \mathrm{~cm}^{2}$ e un cateto di $9 \mathrm{~cm}$ . Trova il perimetro.

See Solution

Problem 2310

Berechne die fehlende Kathetenlänge $b$ eines rechtwinkligen Dreiecks mit Fläche $A=490mm^2$ und Kathete $a=28mm$ .

See Solution

Problem 2311

Gegeben sind $A=5 \, \text{cm}^{2}$ , $a=80 \, \text{mm}$ und $\gamma=90^{\circ}$ . Welche geometrische Figur ist gefragt?

See Solution

Problem 2312

Berechne die fehlende Kathetenlänge eines rechtwinkligen Dreiecks mit $\gamma=90^{\circ}$ , Fläche 5 cm $^2$ und Kathete 80 mm.

See Solution

Problem 2313

Bài 1. Cho tam giác vuông $\mathrm{ABC}$ với $\mathrm{AB}=30 \mathrm{~cm}$ , cao $\mathrm{AH}=24 \mathrm{cm}$ . Tính $\mathrm{BH}, \mathrm{BC}, \mathrm{AC}$ và độ dài $\mathrm{HD}$ với $\mathrm{HD} \perp \mathrm{AC}$ .

See Solution

Problem 2314

Un rettangolo ha una diagonale di $39 \mathrm{~cm}$ e una base di $36 \mathrm{~cm}$ . Trova perimetro e area.

See Solution

Problem 2315

Un triangolo isoscele ha base $32 \mathrm{~cm}$ e altezza $12 \mathrm{~cm}$ . Trova perimetro e area.

See Solution

Problem 2316

Calcola l'area di un triangolo isoscele con perimetro $36 \mathrm{~cm}$ e lato obliquo $13 \mathrm{~cm}$ .

See Solution

Problem 2317

Diberi $AB = AC$ dan kecerunan $AB = \frac{2}{3}$ . Jika $BC = 12$ cm, cari tinggi $A$ dari $BC$ .

See Solution

Problem 2318

Diberi $A B=A C$ dan kecerunan $A B$ ialah $\frac{2}{3}$ . Cari tinggi $A$ dari garis $B C$ .

See Solution

Problem 2319

Trova il vettore normale ai seguenti piani: a. $4x - y + 5 = 0$ , b. $2y - z + 1 = 0$ , c. $x + 2y - z = 0$ , d. $12x - y + 7z + 4 = 0$ .

See Solution

Problem 2320

Trova il vettore normale ai seguenti piani: 1) $x - y + 5 = 0$ , 2) $2y - z + 1 = 0$ , 3) $x + 2y - z = 0$ , 4) $12x - y + 7z + 4 = 0$ .

See Solution

Problem 2321

Identify a new name for plane $N$ given points A, B, C, D, and E, where B and C are collinear, and A, D, E are not.

See Solution

Problem 2322

Determine the equation of the plane through points $A(1, 0, 0)$ , $B(0, -3, 1)$ , and $C(2, -2, 0)$ .

See Solution

Problem 2323

Find the area of a triangle with a chord of length $10 \mathrm{~cm}$ in a circle of radius $13 \mathrm{~cm}$ .

See Solution

Problem 2324

Un cuadrado y un rectángulo tienen el mismo perímetro. Si el lado del cuadrado es $24 \mathrm{~cm}$ y el ancho del rectángulo es $12 \mathrm{~cm}$ , ¿cuál es el largo del rectángulo?

See Solution

Problem 2325

Calcola l'altezza del rettangolo con base $25 \mathrm{~cm}$ e area $450 \mathrm{~cm}^{2}$ ; poi l'area del secondo con base $30 \mathrm{~cm}$ .

See Solution

Problem 2326

Solve for $x$ in the equations: $\frac{x}{2} + 8^{\circ} = \frac{6}{5} + 20^{\circ}$ and $\frac{x}{2} - \frac{x}{5} = 12^{\circ}$ . Find $a$ and $p$ if $a = p = \frac{x}{2} - 8^{\circ}$ .

See Solution

Problem 2327

Calcola la lunghezza del lato di un quadrato equivalente a un rombo con diagonali che sommano a 18 e una maggiore doppia della minore.

See Solution

Problem 2328

Se due rettangoli sono equivalenti, qual è l'altezza di uno con base 1,6 dm se l'altro misura 2,8 dm e 1,2 dm? Usa $A_1 = A_2$ per trovare l'altezza.

See Solution

Problem 2329

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .

See Solution

Problem 2330

Encontre $a$ e $b$ onde as retas paralelas $r$ e $s$ são cortadas por uma transversal com a equação $\frac{x}{2} + \frac{x}{2} + \frac{x}{8} + 8 = \frac{x}{5} + 20$ .

See Solution

Problem 2331

Un rettangolo ha dimensioni in rapporto 1:3 e area di $432 \mathrm{~cm}^{2}$ . Trova base, altezza e perimetro.

See Solution

Problem 2332

In un trapezio, le basi sono il doppio l'una dell'altra e l'area è $21 \mathrm{~cm} \times 18 \mathrm{~cm}$ . Trova le basi.

See Solution

Problem 2333

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .

See Solution

Problem 2334

Calcola la base di un parallelogramma la cui area è $\frac{1}{10}$ di quella di un quadrato di lato $60 \mathrm{~cm}$ e altezza $\frac{1}{4}$ del lato.

See Solution

Problem 2335

Un rettangolo ha altezza $40 \mathrm{~cm}$ e un angolo di $30^{\circ}$ con la base. Calcola il perimetro.

See Solution

Problem 2336

Calcola il perimetro di un triangolo isoscele con area di $672 \mathrm{~cm}^{2}$ e base di $28 \mathrm{~cm}$ .

See Solution

Problem 2337

Un triangolo ha area $14,95 \mathrm{~cm}^{2}$ e un cateto di $6,5 \mathrm{~cm}$ . Trova l'altro cateto e l'altezza sull'ipotenusa di $13 \mathrm{~cm}$ .

See Solution

Problem 2338

In un triangolo rettangolo, un cateto è $36 \mathrm{~cm}$ e l'altro è $\frac{4}{3}$ volte il primo. Trova perimetro e area.

See Solution

Problem 2339

Bài 1. Cho tam giác $ABC$ vuông tại $A$ với $\mathrm{AB}=30 \mathrm{~cm}$ , cao $\mathrm{AH}=24 \mathrm{cm}$ . Tính $BH$ , $BC$ , $AC$ và $HD$ .

See Solution

Problem 2340

Find the radius of a circle with a circumference of 25.12 miles using the formula $C = 2\pi r$ .

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Problem 2341

Find the area of a circle with a radius of 4 km using $\pi \approx 3.14$ .

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Problem 2342

Find the radius of a circle with an area of 78.5 sq ft, using $\pi \approx 3.14$ .

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Problem 2343

Find the diameter of a circle with a circumference of 41.448 inches. Use $\pi \approx 3.14$ .

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Problem 2344

Find the area of a circle with a diameter of 2 cm. Use $\pi \approx 3.14$ .

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Problem 2345

Find the circumference of a circle with an area of 50.24 sq. yards, using $\pi \approx 3.14$ .

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Problem 2346

Find the area of a circle with a circumference of 14.444 inches. Use $\pi \approx 3.14$ and round to the nearest hundredth.

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Problem 2347

Find the circumference of a circle with an area of 12.56 in², using $\pi \approx 3.14$ .

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Problem 2348

Find the area of a circle with a circumference of 12.56 yards, using $\pi \approx 3.14$ .

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Problem 2349

Find the area of a campaign button with a diameter of 4 inches using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2350

A circular stained-glass window has a circumference of 6.28 yards. What is its diameter? Use $\pi \approx 3.14$ .

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Problem 2351

Find the circumference of a circle with area 0.2826 mm² using $\pi \approx 3.14$ ; round to the nearest hundredth.

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Problem 2352

Find the diameter of a merry-go-round with an area of 78.5 sq ft. Use $\pi \approx 3.14$ and round to the nearest hundredth.

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Problem 2353

Miranda's trampoline has a circumference of 12.56 m. What is the radius? Use $\pi \approx 3.14$ and round to the nearest hundredth.

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Problem 2354

A coffee mug has a diameter of 4 inches. Find the circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2355

Find the circumference of a coffee mug with a diameter of 4 inches using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2356

Find the area of a circular searchlight with a radius of 2 feet using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2357

A jailer has a key ring with a circumference of 10.676 inches. Find its radius using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2358

Find the area of a circular rug with a circumference of 10.048 yards. Use $\pi \approx 3.14$ and round to the nearest hundredth.

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Problem 2359

A button has an area of 50.24 mm². What is its circumference using $\pi \approx 3.14$ ? Round to the nearest hundredth.

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Problem 2360

Find the circumference of a telescope lens with an area of 3.7994 square yards. Use $\pi \approx 3.14$ and round to the nearest hundredth.

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Problem 2361

A merry-go-round's circular platform has an area of 3.14 sq. yards. Find its circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2362

Wesley has a round tablecloth with a radius of 1.2 yards. Find its circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

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Problem 2363

Find the area of a semicircle with a radius of 1 yard. Use the formula: Area = $\frac{1}{2} \pi r^2$ .

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Problem 2364

An anthropologist finds an igloo with a circumference of 14.444 yards. What is the area of the floor? Use $\pi \approx 3.14$ . Round to the nearest hundredth. square yards

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Problem 2365

Find the area of a quarter circle with a radius of 3 miles. Use the formula $A = \frac{1}{4} \pi r^2$ .

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Problem 2366

Find the area of a semicircle with a radius of 4 mm. Use the formula: Area = $\frac{1}{2} \pi r^2$ .

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Problem 2367

Find the area of a semicircle with a diameter of 6 feet. Use the formula $A = \frac{1}{2} \pi r^2$ .

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Problem 2368

A triangle has sides of 6 in and 26 in. Find the area of a similar triangle with sides half the length of the original.

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Problem 2369

Calculate the distance $BC$ in triangle $ABC$ where $AB=1.5$ km, $AC=1.2$ km, and $\hat{A}=50^{\circ}$ .

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Problem 2370

A farmer's tank is a cylinder topped with a cone. Cone radius is $10 \mathrm{~m}$ , height is $2 \mathrm{~m}$ . Cylinder height is $5 \mathrm{~m}$ . Find the volumes of the cone and cylinder.

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Problem 2371

A farmer's tank has a cone on top with a radius of $10 \mathrm{~m}$ and height $2 \mathrm{~m}$ , plus a $5 \mathrm{~m}$ cylinder. Find the cone's volume.

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Problem 2372

A farmer has a tank shaped like a cylinder with a cone on top. Cone radius is $10 \mathrm{~m}$ , height $2 \mathrm{~m}$ ; cylinder height is $5 \mathrm{~m}$ . Find the cone's volume, cylinder's volume, and cone's surface area with a closed base.

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Problem 2373

Calcola la diagonale e l'area di un rettangolo isoperimetrico a un quadrato di area $1156 \mathrm{dm}^{2}$ e altezza $20 \mathrm{dm}$ .

See Solution

Problem 2374

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .

See Solution

Problem 2375

Calculate the area of the frame around a rectangle with dimensions 4 units (length) and 1 unit (width) and a 2-unit width.

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Problem 2376

Find the equation of line $PQ$ , check if $PS$ is perpendicular to $PQ$ , find $QR$ parallel to $PS$ , calculate angle $\theta$ , and distance $QS$ .

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Problem 2377

Find the angle $\theta$ at the center of sector $OAB$ with radius $9 \mathrm{~cm}$ and arc length \overparen{AB}=6 \pi \mathrm{~cm}.

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Problem 2378

If the angle of a sector increases by $25\%$ and the radius decreases by $k\%$ , find $k$ when the arc length stays the same.

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Problem 2379

Find the radius and perimeter of sector $OAB$ with area $24\pi \mathrm{cm}^2$ and angle $60^\circ$ . Also, find the area of the circle with $AB$ as diameter.

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Problem 2380

Two identical cylinders of radius $R$ are melted into three smaller cylinders of radius $r$ and height $24 \mathrm{~cm}$ . Given that the base area of the larger cylinder is 9 times that of the smaller one:
(a) Express $R$ in terms of $r$ . (b) Find the height of the larger cylinder.

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Problem 2381

Find the volume of a cylinder with radius $3a$ cm and height $7b$ cm, given a cylinder of height $5b$ cm has volume $480$ cm³.

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Problem 2382

A cylinder with radius $2a$ cm and height $5b$ cm has volume $480$ cm³. Find the volume of another cylinder with radius $3a$ cm and height $7b$ cm.

See Solution

Problem 2383

In sectors $O A B$ and $O C D$ , with $O A=27 \mathrm{~cm}$ , $O C=15 \mathrm{~cm}$ , and shaded area $147 \pi \mathrm{cm}^{2}$ , find: (a) $\angle A O B$ ; (b) perimeter of shaded region in terms of $\pi$ .

See Solution

Problem 2384

A farmer's tank is a cylinder topped with a cone (radius $10 \mathrm{~m}$ , height $2 \mathrm{~m}$ , cylinder height $5 \mathrm{~m}$ ).
1. Find the cone's volume.
2. Find the cylinder's volume.
3. Find the cone's surface area with a closed base.

See Solution

Problem 2385

Find the surface area of a rectangular pyramid with a base area of 180 square units and height of 12 units.

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Problem 2386

Calculate the distance $BC$ in triangle $ABC$ where $AB=1.5$ km, $AC=1.2$ km, and $\hat{A}=50^\circ$ .

See Solution

Problem 2387

Find the equation of line $PQ$ for quadrilateral $PQRS$ with points $P(-2,1)$ , $Q(1,-5)$ , and $S(2,3)$ .

See Solution

Problem 2388

A farmer has a tank shaped like a cylinder with a cone on top. Cone radius is $10 \mathrm{~m}$ , height is $2 \mathrm{~m}$ ; cylinder height is $5 \mathrm{~m}$ . Find the volumes of the cone and cylinder.

See Solution

Problem 2389

Calculate the surface area of a cone with a radius of $10 \mathrm{~m}$ and height of $2 \mathrm{~m}$ , closed at the base.

See Solution

Problem 2390

A farmer's tank is a cylinder topped with a cone. The cone's radius is $10 \mathrm{~m}$ and height $2 \mathrm{~m}$ . The cylinder's height is $5 \mathrm{~m}$ . Find the cylinder's volume.

See Solution

Problem 2391

Gegeben sind die Punkte A(2,-3,0), B(2,2,0), C(-1,2,0) und E(2,-3,5) eines Quaders. Finde die anderen Eckpunkte und berechne die Diagonale $\overline{A G}$ .

See Solution

Problem 2392

Graph the line given by the equation $y=x-2$ .

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Problem 2393

Can nonadjacent angles share vertex $A$ and arm $A B$ ? If yes, provide an example; if no, explain why.

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Problem 2394

Find the length of a rectangular window with a perimeter of 288 cm and a width of 65 cm. Length: $\mathrm{cm}$

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Problem 2395

Find the width of a rectangular garden with area $4992 \mathrm{~m}^{2}$ and length $78 \mathrm{~m}$ . Width: $\square \mathrm{m}$

See Solution

Problem 2396

Classify the quadrilaterals: Draw and color a parallelogram, square, and rectangle based on their classification.

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Problem 2397

How many $600 \mathrm{~mm}$ tiles are needed for a $16,875 \mathrm{~m}^{2}$ floor? Show your calculations.

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Problem 2398

Gegeben sind die Punkte A(2|-3|0), B(2|2|0), C(-1|2|0) und E(2|-3|5) eines Quaders. Finde die anderen Eckpunkte und die Länge der Diagonale $\overline{A G}$ .

See Solution

Problem 2399

A surveyor sees a building at $34^{\circ}$ elevation, 2544 ft away. Find distance to the building, building height, antenna angle, and height.

See Solution

Problem 2400

Calcola area e perimetro di un trapezio rettangolo con basi $39 \mathrm{~cm}$ , $32 \mathrm{~cm}$ e lato obliquo $25 \mathrm{~cm}$ .

See Solution

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Geometry

Problem 2301

Find the expression for the area of a triangular attic floor with height nydn \mathrm{yd}nyd and base 6yd6 \mathrm{yd}6yd.

Problem 2302

Find the perimeter of a rectangle with area 102 cm2102 \mathrm{~cm}^{2}102 cm2 and length 17 cm17 \mathrm{~cm}17 cm.

Problem 2303

Find the number of sides in a regular polygon where the ratio of interior angle to exterior angle is 7:17: 17:1.

Problem 2304

삼각형의 변이 x−1,x,x+1x-1, x, x+1x−1,x,x+1일 때, xxx의 가능한 값 중 아닌 것은? (1) 2 (2) 3 (3) 4 (4) 5 (5) 6

Problem 2305

Calcola perimetro e area di un triangolo rettangolo con cateti di 10 cm10 \mathrm{~cm}10 cm e 24 cm24 \mathrm{~cm}24 cm.

Problem 2306

Calcola perimetro e area di un triangolo rettangolo con ipotenusa 75 cm75 \mathrm{~cm}75 cm e cateto 45 cm45 \mathrm{~cm}45 cm.

Problem 2307

Calcola il perimetro e l'area di un triangolo rettangolo con ipotenusa 75 cm75 \mathrm{~cm}75 cm e cateto 45 cm45 \mathrm{~cm}45 cm.

Problem 2308

Find the interior angle in terms of the exterior angle xxx given the ratio of interior to exterior angles is 7:17:17:1.

Problem 2309

Un triangolo rettangolo ha area 180 cm2180 \mathrm{~cm}^{2}180 cm2 e un cateto di 9 cm9 \mathrm{~cm}9 cm. Trova il perimetro.

Problem 2310

Berechne die fehlende Kathetenlänge bbb eines rechtwinkligen Dreiecks mit Fläche A=490mm2A=490mm^2A=490mm2 und Kathete a=28mma=28mma=28mm.

Problem 2311

Gegeben sind A=5 cm2A=5 \, \text{cm}^{2}A=5cm2, a=80 mma=80 \, \text{mm}a=80mm und γ=90∘\gamma=90^{\circ}γ=90∘. Welche geometrische Figur ist gefragt?

Problem 2312

Berechne die fehlende Kathetenlänge eines rechtwinkligen Dreiecks mit γ=90∘\gamma=90^{\circ}γ=90∘, Fläche 5 cm2^22 und Kathete 80 mm.

Problem 2313

Bài 1. Cho tam giác vuông ABC\mathrm{ABC}ABC với AB=30 cm\mathrm{AB}=30 \mathrm{~cm}AB=30 cm, cao AH=24cm\mathrm{AH}=24 \mathrm{cm}AH=24cm. Tính BH,BC,AC\mathrm{BH}, \mathrm{BC}, \mathrm{AC}BH,BC,AC và độ dài HD\mathrm{HD}HD với HD⊥AC\mathrm{HD} \perp \mathrm{AC}HD⊥AC.

Problem 2314

Un rettangolo ha una diagonale di 39 cm39 \mathrm{~cm}39 cm e una base di 36 cm36 \mathrm{~cm}36 cm. Trova perimetro e area.

Problem 2315

Un triangolo isoscele ha base 32 cm32 \mathrm{~cm}32 cm e altezza 12 cm12 \mathrm{~cm}12 cm. Trova perimetro e area.

Problem 2316

Calcola l'area di un triangolo isoscele con perimetro 36 cm36 \mathrm{~cm}36 cm e lato obliquo 13 cm13 \mathrm{~cm}13 cm.

Problem 2317

Diberi AB=ACAB = ACAB=AC dan kecerunan AB=23AB = \frac{2}{3}AB=32​. Jika BC=12BC = 12BC=12 cm, cari tinggi AAA dari BCBCBC.

Problem 2318

Diberi AB=ACA B=A CAB=AC dan kecerunan ABA BAB ialah 23\frac{2}{3}32​. Cari tinggi AAA dari garis BCB CBC.

Problem 2319

Trova il vettore normale ai seguenti piani: a. 4x−y+5=04x - y + 5 = 04x−y+5=0, b. 2y−z+1=02y - z + 1 = 02y−z+1=0, c. x+2y−z=0x + 2y - z = 0x+2y−z=0, d. 12x−y+7z+4=012x - y + 7z + 4 = 012x−y+7z+4=0.

Problem 2320

Trova il vettore normale ai seguenti piani: 1) x−y+5=0x - y + 5 = 0x−y+5=0, 2) 2y−z+1=02y - z + 1 = 02y−z+1=0, 3) x+2y−z=0x + 2y - z = 0x+2y−z=0, 4) 12x−y+7z+4=012x - y + 7z + 4 = 012x−y+7z+4=0.

Problem 2321

Identify a new name for plane NNN given points A, B, C, D, and E, where B and C are collinear, and A, D, E are not.

Problem 2322

Determine the equation of the plane through points A(1,0,0)A(1, 0, 0)A(1,0,0), B(0,−3,1)B(0, -3, 1)B(0,−3,1), and C(2,−2,0)C(2, -2, 0)C(2,−2,0).

Problem 2323

Find the area of a triangle with a chord of length 10 cm10 \mathrm{~cm}10 cm in a circle of radius 13 cm13 \mathrm{~cm}13 cm.

Problem 2324

Un cuadrado y un rectángulo tienen el mismo perímetro. Si el lado del cuadrado es 24 cm24 \mathrm{~cm}24 cm y el ancho del rectángulo es 12 cm12 \mathrm{~cm}12 cm, ¿cuál es el largo del rectángulo?

Problem 2325

Calcola l'altezza del rettangolo con base 25 cm25 \mathrm{~cm}25 cm e area 450 cm2450 \mathrm{~cm}^{2}450 cm2; poi l'area del secondo con base 30 cm30 \mathrm{~cm}30 cm.

Problem 2326

Solve for xxx in the equations: x2+8∘=65+20∘\frac{x}{2} + 8^{\circ} = \frac{6}{5} + 20^{\circ}2x​+8∘=56​+20∘ and x2−x5=12∘\frac{x}{2} - \frac{x}{5} = 12^{\circ}2x​−5x​=12∘. Find aaa and ppp if a=p=x2−8∘a = p = \frac{x}{2} - 8^{\circ}a=p=2x​−8∘.

Problem 2327

Calcola la lunghezza del lato di un quadrato equivalente a un rombo con diagonali che sommano a 18 e una maggiore doppia della minore.

Problem 2328

Se due rettangoli sono equivalenti, qual è l'altezza di uno con base 1,6 dm se l'altro misura 2,8 dm e 1,2 dm? Usa A1=A2A_1 = A_2A1​=A2​ per trovare l'altezza.

Problem 2329

In un triangolo rettangolo, i cateti sommano a 21 cm21 \mathrm{~cm}21 cm e differiscono di 3 cm3 \mathrm{~cm}3 cm. Trova l'altezza sull'ipotenusa di 15 cm15 \mathrm{~cm}15 cm.

Problem 2330

Encontre aaa e bbb onde as retas paralelas rrr e sss são cortadas por uma transversal com a equação x2+x2+x8+8=x5+20\frac{x}{2} + \frac{x}{2} + \frac{x}{8} + 8 = \frac{x}{5} + 202x​+2x​+8x​+8=5x​+20.

Problem 2331

Un rettangolo ha dimensioni in rapporto 1:3 e area di 432 cm2432 \mathrm{~cm}^{2}432 cm2. Trova base, altezza e perimetro.

Problem 2332

In un trapezio, le basi sono il doppio l'una dell'altra e l'area è 21 cm×18 cm21 \mathrm{~cm} \times 18 \mathrm{~cm}21 cm×18 cm. Trova le basi.

Problem 2333

In un triangolo rettangolo, i cateti sommano a 21 cm21 \mathrm{~cm}21 cm e differiscono di 3 cm3 \mathrm{~cm}3 cm. Trova l'altezza sull'ipotenusa di 15 cm15 \mathrm{~cm}15 cm.

Problem 2334

Calcola la base di un parallelogramma la cui area è 110\frac{1}{10}101​ di quella di un quadrato di lato 60 cm60 \mathrm{~cm}60 cm e altezza 14\frac{1}{4}41​ del lato.

Problem 2335

Un rettangolo ha altezza 40 cm40 \mathrm{~cm}40 cm e un angolo di 30∘30^{\circ}30∘ con la base. Calcola il perimetro.

Problem 2336

Calcola il perimetro di un triangolo isoscele con area di 672 cm2672 \mathrm{~cm}^{2}672 cm2 e base di 28 cm28 \mathrm{~cm}28 cm.

Problem 2337

Un triangolo ha area 14,95 cm214,95 \mathrm{~cm}^{2}14,95 cm2 e un cateto di 6,5 cm6,5 \mathrm{~cm}6,5 cm. Trova l'altro cateto e l'altezza sull'ipotenusa di 13 cm13 \mathrm{~cm}13 cm.

Problem 2338

In un triangolo rettangolo, un cateto è 36 cm36 \mathrm{~cm}36 cm e l'altro è 43\frac{4}{3}34​ volte il primo. Trova perimetro e area.

Problem 2339

Bài 1. Cho tam giác ABCABCABC vuông tại AAA với AB=30 cm\mathrm{AB}=30 \mathrm{~cm}AB=30 cm, cao AH=24cm\mathrm{AH}=24 \mathrm{cm}AH=24cm. Tính BHBHBH, BCBCBC, ACACAC và HDHDHD.

Problem 2340

Find the expression for the area of a triangular attic floor with height $n \mathrm{yd}$ and base $6 \mathrm{yd}$ .

Find the perimeter of a rectangle with area $102 \mathrm{~cm}^{2}$ and length $17 \mathrm{~cm}$ .

Find the number of sides in a regular polygon where the ratio of interior angle to exterior angle is $7: 1$ .

삼각형의 변이 $x-1, x, x+1$ 일 때, $x$ 의 가능한 값 중 아닌 것은? (1) 2 (2) 3 (3) 4 (4) 5 (5) 6

Calcola perimetro e area di un triangolo rettangolo con cateti di $10 \mathrm{~cm}$ e $24 \mathrm{~cm}$ .

Calcola perimetro e area di un triangolo rettangolo con ipotenusa $75 \mathrm{~cm}$ e cateto $45 \mathrm{~cm}$ .

Calcola il perimetro e l'area di un triangolo rettangolo con ipotenusa $75 \mathrm{~cm}$ e cateto $45 \mathrm{~cm}$ .

Find the interior angle in terms of the exterior angle $x$ given the ratio of interior to exterior angles is $7:1$ .

Un triangolo rettangolo ha area $180 \mathrm{~cm}^{2}$ e un cateto di $9 \mathrm{~cm}$ . Trova il perimetro.

Berechne die fehlende Kathetenlänge $b$ eines rechtwinkligen Dreiecks mit Fläche $A=490mm^2$ und Kathete $a=28mm$ .

Gegeben sind $A=5 \, \text{cm}^{2}$ , $a=80 \, \text{mm}$ und $\gamma=90^{\circ}$ . Welche geometrische Figur ist gefragt?

Berechne die fehlende Kathetenlänge eines rechtwinkligen Dreiecks mit $\gamma=90^{\circ}$ , Fläche 5 cm $^2$ und Kathete 80 mm.

Bài 1. Cho tam giác vuông $\mathrm{ABC}$ với $\mathrm{AB}=30 \mathrm{~cm}$ , cao $\mathrm{AH}=24 \mathrm{cm}$ . Tính $\mathrm{BH}, \mathrm{BC}, \mathrm{AC}$ và độ dài $\mathrm{HD}$ với $\mathrm{HD} \perp \mathrm{AC}$ .

Un rettangolo ha una diagonale di $39 \mathrm{~cm}$ e una base di $36 \mathrm{~cm}$ . Trova perimetro e area.

Un triangolo isoscele ha base $32 \mathrm{~cm}$ e altezza $12 \mathrm{~cm}$ . Trova perimetro e area.

Calcola l'area di un triangolo isoscele con perimetro $36 \mathrm{~cm}$ e lato obliquo $13 \mathrm{~cm}$ .

Diberi $AB = AC$ dan kecerunan $AB = \frac{2}{3}$ . Jika $BC = 12$ cm, cari tinggi $A$ dari $BC$ .

Diberi $A B=A C$ dan kecerunan $A B$ ialah $\frac{2}{3}$ . Cari tinggi $A$ dari garis $B C$ .

Trova il vettore normale ai seguenti piani: a. $4x - y + 5 = 0$ , b. $2y - z + 1 = 0$ , c. $x + 2y - z = 0$ , d. $12x - y + 7z + 4 = 0$ .

Trova il vettore normale ai seguenti piani: 1) $x - y + 5 = 0$ , 2) $2y - z + 1 = 0$ , 3) $x + 2y - z = 0$ , 4) $12x - y + 7z + 4 = 0$ .

Identify a new name for plane $N$ given points A, B, C, D, and E, where B and C are collinear, and A, D, E are not.

Determine the equation of the plane through points $A(1, 0, 0)$ , $B(0, -3, 1)$ , and $C(2, -2, 0)$ .

Find the area of a triangle with a chord of length $10 \mathrm{~cm}$ in a circle of radius $13 \mathrm{~cm}$ .

Un cuadrado y un rectángulo tienen el mismo perímetro. Si el lado del cuadrado es $24 \mathrm{~cm}$ y el ancho del rectángulo es $12 \mathrm{~cm}$ , ¿cuál es el largo del rectángulo?

Calcola l'altezza del rettangolo con base $25 \mathrm{~cm}$ e area $450 \mathrm{~cm}^{2}$ ; poi l'area del secondo con base $30 \mathrm{~cm}$ .

Solve for $x$ in the equations: $\frac{x}{2} + 8^{\circ} = \frac{6}{5} + 20^{\circ}$ and $\frac{x}{2} - \frac{x}{5} = 12^{\circ}$ . Find $a$ and $p$ if $a = p = \frac{x}{2} - 8^{\circ}$ .

Se due rettangoli sono equivalenti, qual è l'altezza di uno con base 1,6 dm se l'altro misura 2,8 dm e 1,2 dm? Usa $A_1 = A_2$ per trovare l'altezza.

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .

Encontre $a$ e $b$ onde as retas paralelas $r$ e $s$ são cortadas por uma transversal com a equação $\frac{x}{2} + \frac{x}{2} + \frac{x}{8} + 8 = \frac{x}{5} + 20$ .

Un rettangolo ha dimensioni in rapporto 1:3 e area di $432 \mathrm{~cm}^{2}$ . Trova base, altezza e perimetro.

In un trapezio, le basi sono il doppio l'una dell'altra e l'area è $21 \mathrm{~cm} \times 18 \mathrm{~cm}$ . Trova le basi.

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .

Calcola la base di un parallelogramma la cui area è $\frac{1}{10}$ di quella di un quadrato di lato $60 \mathrm{~cm}$ e altezza $\frac{1}{4}$ del lato.

Un rettangolo ha altezza $40 \mathrm{~cm}$ e un angolo di $30^{\circ}$ con la base. Calcola il perimetro.

Calcola il perimetro di un triangolo isoscele con area di $672 \mathrm{~cm}^{2}$ e base di $28 \mathrm{~cm}$ .

Un triangolo ha area $14,95 \mathrm{~cm}^{2}$ e un cateto di $6,5 \mathrm{~cm}$ . Trova l'altro cateto e l'altezza sull'ipotenusa di $13 \mathrm{~cm}$ .

In un triangolo rettangolo, un cateto è $36 \mathrm{~cm}$ e l'altro è $\frac{4}{3}$ volte il primo. Trova perimetro e area.

Bài 1. Cho tam giác $ABC$ vuông tại $A$ với $\mathrm{AB}=30 \mathrm{~cm}$ , cao $\mathrm{AH}=24 \mathrm{cm}$ . Tính $BH$ , $BC$ , $AC$ và $HD$ .

Find the radius of a circle with a circumference of 25.12 miles using the formula $C = 2\pi r$ .

Find the area of a circle with a radius of 4 km using $\pi \approx 3.14$ .

Find the radius of a circle with an area of 78.5 sq ft, using $\pi \approx 3.14$ .

Find the diameter of a circle with a circumference of 41.448 inches. Use $\pi \approx 3.14$ .

Find the area of a circle with a diameter of 2 cm. Use $\pi \approx 3.14$ .

Find the circumference of a circle with an area of 50.24 sq. yards, using $\pi \approx 3.14$ .

Find the area of a circle with a circumference of 14.444 inches. Use $\pi \approx 3.14$ and round to the nearest hundredth.

Find the circumference of a circle with an area of 12.56 in², using $\pi \approx 3.14$ .

Find the area of a circle with a circumference of 12.56 yards, using $\pi \approx 3.14$ .

Find the area of a campaign button with a diameter of 4 inches using $\pi \approx 3.14$ . Round to the nearest hundredth.

A circular stained-glass window has a circumference of 6.28 yards. What is its diameter? Use $\pi \approx 3.14$ .

Find the circumference of a circle with area 0.2826 mm² using $\pi \approx 3.14$ ; round to the nearest hundredth.

Find the diameter of a merry-go-round with an area of 78.5 sq ft. Use $\pi \approx 3.14$ and round to the nearest hundredth.

Miranda's trampoline has a circumference of 12.56 m. What is the radius? Use $\pi \approx 3.14$ and round to the nearest hundredth.

A coffee mug has a diameter of 4 inches. Find the circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

Find the circumference of a coffee mug with a diameter of 4 inches using $\pi \approx 3.14$ . Round to the nearest hundredth.

Find the area of a circular searchlight with a radius of 2 feet using $\pi \approx 3.14$ . Round to the nearest hundredth.

A jailer has a key ring with a circumference of 10.676 inches. Find its radius using $\pi \approx 3.14$ . Round to the nearest hundredth.

Find the area of a circular rug with a circumference of 10.048 yards. Use $\pi \approx 3.14$ and round to the nearest hundredth.

A button has an area of 50.24 mm². What is its circumference using $\pi \approx 3.14$ ? Round to the nearest hundredth.

Find the circumference of a telescope lens with an area of 3.7994 square yards. Use $\pi \approx 3.14$ and round to the nearest hundredth.

A merry-go-round's circular platform has an area of 3.14 sq. yards. Find its circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

Wesley has a round tablecloth with a radius of 1.2 yards. Find its circumference using $\pi \approx 3.14$ . Round to the nearest hundredth.

Find the area of a semicircle with a radius of 1 yard. Use the formula: Area = $\frac{1}{2} \pi r^2$ .

An anthropologist finds an igloo with a circumference of 14.444 yards. What is the area of the floor? Use $\pi \approx 3.14$ . Round to the nearest hundredth. square yards

Find the area of a quarter circle with a radius of 3 miles. Use the formula $A = \frac{1}{4} \pi r^2$ .

Find the area of a semicircle with a radius of 4 mm. Use the formula: Area = $\frac{1}{2} \pi r^2$ .

Find the area of a semicircle with a diameter of 6 feet. Use the formula $A = \frac{1}{2} \pi r^2$ .

Calculate the distance $BC$ in triangle $ABC$ where $AB=1.5$ km, $AC=1.2$ km, and $\hat{A}=50^{\circ}$ .

A farmer's tank is a cylinder topped with a cone. Cone radius is $10 \mathrm{~m}$ , height is $2 \mathrm{~m}$ . Cylinder height is $5 \mathrm{~m}$ . Find the volumes of the cone and cylinder.

A farmer's tank has a cone on top with a radius of $10 \mathrm{~m}$ and height $2 \mathrm{~m}$ , plus a $5 \mathrm{~m}$ cylinder. Find the cone's volume.

A farmer has a tank shaped like a cylinder with a cone on top. Cone radius is $10 \mathrm{~m}$ , height $2 \mathrm{~m}$ ; cylinder height is $5 \mathrm{~m}$ . Find the cone's volume, cylinder's volume, and cone's surface area with a closed base.

Calcola la diagonale e l'area di un rettangolo isoperimetrico a un quadrato di area $1156 \mathrm{dm}^{2}$ e altezza $20 \mathrm{dm}$ .

In un triangolo rettangolo, i cateti sommano a $21 \mathrm{~cm}$ e differiscono di $3 \mathrm{~cm}$ . Trova l'altezza sull'ipotenusa di $15 \mathrm{~cm}$ .