Word Problems

Problem 8401

A 170-pound tennis player burns 8.6 calories/min. How many calories burned in 4 hours?

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Problem 8402

Prove there’s a solution to cos(x)=72x\cos (x)=7-2 x using the Intermediate Value Theorem. Find intervals for aa and bb.

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Problem 8403

A propane sample, C3H8\mathrm{C}_{3} \mathrm{H}_{8}, has 16.6 moles of carbon. Find total moles of atoms in the sample.

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Problem 8404

Find the first three terms of the sequence defined by an=152(n1)a_{n}=15-2(n-1).

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Problem 8405

What is the relationship between grams and micrograms in terms of conversion? 1 gram = 10610^6 micrograms.

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Problem 8406

Find the grams of iron in 150.9 g of an alloy that is 75.0%75.0\% iron.

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Problem 8407

Find the number of Li\mathrm{Li} atoms in 7.2 mol7.2 \mathrm{~mol} of Li\mathrm{Li}. Round your answer to two significant figures.

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Problem 8408

What is the percent of fat in a hamburger sample with a total mass of 200 g200 \mathrm{~g} and 30.0 g30.0 \mathrm{~g} of fat?

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Problem 8409

Calculate the amount of nickel in 200.9 g of stainless steel with 18.0%18.0\% nickel.

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Problem 8410

Nick paid \68.25foracoatwitha68.25 for a coat with a 5\%$ sales tax. What was the original price before tax?

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Problem 8411

The first organ weighs 4 pounds and the second weighs 0.3 pounds. How many times heavier is the first organ than the second?

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Problem 8412

How many liters of soft drink are in 5.25 containers if each container holds xx liters? Total = 5.25x5.25x.

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Problem 8413

Convert 5.25qt5.25 \mathrm{qt} to liters. How many liters of soft drink is that?

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Problem 8414

Find the common difference of the sequence 2,8,14,20,262, 8, 14, 20, 26.

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Problem 8415

Find the first three terms of the sequence defined by an=122(n1)a_{n}=12-2(n-1).

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Problem 8416

A soccer team won 45%45\%, lost 40%40\%, and tied 3 times. Find the total number of games played.

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Problem 8417

If 5.00lb5.00 \mathrm{lb} of potatoes is \$3.60, what is the cost for 1.30 kg of potatoes?

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Problem 8418

Infuse 3,000 mL3,000 \mathrm{~mL} IV fluid in 24 hours (15 gtt/mL). Administer 500mg500 \mathrm{mg} ampicillin in 100 mL100 \mathrm{~mL} NS over 30 min (10 gtt/mL).

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Problem 8419

Celeste read xx books. One-third of xx plus 4 equals 8. Find xx.

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Problem 8420

A soccer team won 45%, lost 40%, and tied 3 times. How many total games did it play? A) 8 B) 9 C) 17 D) 20

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Problem 8421

What is the number that is 7 units left of -1? Options: 6-6, 8, 6, 8-8.

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Problem 8422

Find the 21st term of the sequence where a1=7a_{1}=-7 and d=3d=3. Options: 21-21, 11-11, 53, 4-4.

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Problem 8423

Find the mass of a 73.6yd73.6 \mathrm{yd} long, 13in13 \mathrm{in}. wide, and 0.00040in0.00040 \mathrm{in}. thick aluminum foil. Density is 2.70 g/cm32.70 \mathrm{~g} / \mathrm{cm}^{3}. Round to two significant figures.

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Problem 8424

Find the mass of lead if its density is 11.3 g/mL11.3 \mathrm{~g} / \mathrm{mL} and the water level rises from 206 mL206 \mathrm{~mL} to 281 mL281 \mathrm{~mL}.

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Problem 8425

Matt wrote 7 book reports, which is 5 more than half required. How many reports are needed? M=7H=M=7 \quad H= half

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Problem 8426

What does the transformation g(x)=3f(x)g(x)=3 f(x) do to the function ff?

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Problem 8427

Identify the irrational numbers from this list: 0.870 . \overline{87}, 3.624, 2\sqrt{2}, 27\frac{2}{7}, 0.60 . \overline{6}, 5-5, 13\frac{1}{3}, π\pi.

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Problem 8428

Find the average velocity from t=2t=2 to t=3t=3 and t=2t=2 to t=4t=4, and the instantaneous velocity at t=2t=2.

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Problem 8429

Let the number of eighth graders be xx. Then, 5x3=125x - 3 = 12. Find xx.

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Problem 8430

The library had 56 books on Friday, which is 8 less than 4 times Thursday's circulation. Find Thursday's circulation: F=56T=?4T8=56F=56 \quad T=? \quad 4T-8=56

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Problem 8431

A salesman makes 0.0025r0.0025 r of revenue. A soccer team won 45%45\%, lost 40%40\%, and tied 3. Total games? Mary spends 60%60\% of \$300 for a camera at 25\% off. Original price?

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Problem 8432

Is it true or false that a derivative can exist where a function does not? Explain your reasoning.

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Problem 8433

Santos won \$50, which is \$10 more than twice the third-place prize. Find the third-place prize amount.

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Problem 8434

A coat costs dd dollars, on sale for 20%20\% off, plus 5%5\% tax. What is the total cost? A) 0.84d0.84 d B) 0.85d0.85 d C) 1.05d1.05 d D) 1.25d1.25 d

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Problem 8435

A coat costs dd dollars, on sale for 20% off, plus 5% tax. What is the total cost? A) 0.84d0.84 d B) 0.85d0.85 d C) 1.05d1.05 d D) 1.25d1.25 d

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Problem 8436

Find the equation of line LL in point-slope form, parallel to y=2xy=-2x and through (3,4).

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Problem 8437

Write the equations in point-slope and slope-intercept forms for the given points and lines in Exercises 5-8.

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Problem 8438

In Virginia, 15%15\% of households use energy-saving bulbs. Of those, 15%15\% use only energy-saving bulbs. Find the expression for exclusive users: A) 0.00225h0.00225 h B) 0.0225h0.0225 h C) 0.225h0.225 h D) 2.25h2.25 h

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Problem 8439

Infuse 1000 mL of 0.9% Normal Saline in 8 hours with a drop factor of 1515 gtt/mL\mathrm{gtt} / \mathrm{mL}.

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Problem 8440

Find the number of valence electrons in the cyclohexylidene ion C6H102+C_{6}H_{10}^{2+}.

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Problem 8441

Andrew got a 20% discount on a \$500 watch. If he spent all his savings, how much did he have before? A) \$400 B) \$1,000 C) \$1,250 D) \$4,000

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Problem 8442

Mix 0.216 moles of N₂ with 0.596 moles of H₂. Find the limiting reactant and max moles of NH₃ produced.

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Problem 8443

Andrew bought a watch for 40% of his savings after a 20% discount on a \$500 watch. How much did he have initially?

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Problem 8444

Infuse 3,000 mL IV fluid in 24 hours with a drop factor of 15 gtt/mL.

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Problem 8445

Infuse 1000 mL1000 \mathrm{~mL} NS (0.9\% Normal Saline) in 8 hours. Drop factor is 1515 gtt/mL\mathrm{gtt} / \mathrm{mL}.

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Problem 8446

Find the average temperature for the five days: 3F,0F,2F,1F,3F-3^{\circ} \mathrm{F}, 0^{\circ} \mathrm{F}, 2^{\circ} \mathrm{F}, -1^{\circ} \mathrm{F}, -3^{\circ} \mathrm{F}.

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Problem 8447

For the reaction of 0.213 moles of CO and 0.510 moles of H₂O, find the limiting reagent and max moles of CO₂ produced.

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Problem 8448

Your score starts at 0. You lose 4 points three times and gain 2 points. What is your final score?

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Problem 8449

Determine the limiting reagent and maximum moles of silver chloride from 0.581 moles of silver nitrate and 0.195 moles of copper(II) chloride.

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Problem 8450

Convert the rug's dimensions from inches to centimeters: length 28.0in28.0 \mathrm{in} and width 27.2in27.2 \mathrm{in}.

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Problem 8451

Saul bought 2 bags of chips at \$1.86 each, a soda for \$1.39, and a candy bar for \$1.09. With \$0.37 tax, how much change from \$10?

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Problem 8452

The booster club needs to raise \$612.53, has \$250.45, and has 16 members. How much more must each member raise?

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Problem 8453

Find the average velocity of a ball rolling down a ramp for functions s(t)=10t2s(t)=10 t^{2} and s(t)=12t2s(t)=12 t^{2} over specified intervals.

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Problem 8454

What do you multiply "moles of iodine" by to get "grams of iodine"? Use: moles I ×=grams I \times \overline{ }=\operatorname{grams~I~}. Choose from: 127 grams I, 1 gram I, 1 mole I, 127 moles I.

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Problem 8455

What is the total length in inches of the diameters of 6 bracelets with a diameter of 2142 \frac{1}{4} inches?

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Problem 8456

Abigail eats a muffin with 200 calories from fat, which is 25%25\% of its total. What % of her 3,000 cal daily intake is this?

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Problem 8457

Lacey has 2142 \frac{1}{4} cans of paint, each covering 115.3ft2115.3 \mathrm{ft}^{2}. How many square feet can she cover?

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Problem 8458

Find the conversion factor xx to convert grams of Bromine (Br) to moles using its molar mass of 79.9 g/mol.

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Problem 8459

Marta paid \$30 for 3 shirts and got \$6.03 change. What is the cost of each shirt? A. \$23.97 B. \$6.99 C. \$7.99 D. \$8.32

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Problem 8460

Calculate the drip rate in gtt/min for a fluid volume of V=100mLV = 100 \, \text{mL} infused over T=30minutesT = 30 \, \text{minutes} with D=10gtt/mLD = 10 \, \text{gtt/mL}.

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Problem 8461

Flora bought 4 pizzas at \$11.95 each and paid \$3.20 for delivery. What is her total cost?

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Problem 8462

Find the volume formula for a sphere with radius nn.

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Problem 8463

Find the hypotenuse of a right triangle with legs a=16a=16 and b=30b=30. What is its length in units?

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Problem 8464

Calculate the infusion rate in drops per minute (gtt/min) for 500mg500 \mathrm{mg} ampicillin in 100 mL100 \mathrm{~mL} over 30 minutes with a drop factor of 10gtt/mL10 \mathrm{gtt}/\mathrm{mL}.

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Problem 8465

Rita's score RR is 9 more than 4 times Milan's score MM. Write the expression for RR.

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Problem 8466

What number is 28% of if 48% of 28 equals that number? A) 3.76 B) 13 C) 48 D) 58.3

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Problem 8467

Check if the triangle with sides 2, 5, and 6 is a right triangle and find the hypotenuse if it is.

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Problem 8468

The equation is 10z+4=14410z + 4 = 144. Solve for zz to find the number.

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Problem 8469

Find the hypotenuse of a right triangle with legs a=20a=20 and b=48b=48.

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Problem 8470

A cell phone plan costs \21monthlyplus$5perGBofdata.Writetheequationforcost21 monthly plus \$5 per GB of data. Write the equation for cost Cintermsofdata in terms of data d$. If the bill is \$52, how many GB did you use?
C=21+5d C = 21 + 5d

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Problem 8471

When 20.4 g20.4 \mathrm{~g} of carbon reacts with oxygen, 11.6 g11.6 \mathrm{~g} of oxygen remains. Find the mass of carbon dioxide produced.

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Problem 8472

Find the dimensions of a rectangular garden that is 20ft20 \mathrm{ft} longer than its width and has an area of 4125ft24125 \mathrm{ft}^{2}.

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Problem 8473

Let the number of ten dollar bills be xx. Then, the number of five dollar bills is 2x2x. Solve for xx given 5(2x)+10(x)=7205(2x) + 10(x) = 720. How many ten's are there?

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Problem 8474

Juan bought a \$ 16,100 truck, paid \$ 4,100 down, and took a loan with \$ 265.62 monthly for 4 years. Find: (a) Total cost of the truck. (b) Interest paid on the loan.

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Problem 8475

Define a linear equation for the monthly cost CC of a cell phone plan based on data usage dd in GB, given C=21+5dC = 21 + 5d.

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Problem 8476

A rectangular room's width is 2 times its length, with a perimeter of 28 m. Find the dimensions rounded to two decimal places.

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Problem 8477

Juan rented a truck for \$18.99 plus \$0.76 per mile. He paid \$111.71 total. How many miles did he drive?

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Problem 8478

Macy walked her dog 0.8 km for 3 days. Which equation finds the total distance? A 3×0.8=0.243 \times 0.8=0.24 B 0.3×0.8=0.240.3 \times 0.8=0.24 C 3×0.8=2.43 \times 0.8=2.4 D 3×0.8=2.043 \times 0.8=2.04

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Problem 8479

Find leg xx in a right triangle with sides 18 and 9. xx is a leg, not the hypotenuse.

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Problem 8480

A truck goes 441 miles at 63 mph. Use d=rtd = r t to find the travel time in hours.

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Problem 8481

How many unique ways can 5 friends sit in a row of 6 seats?

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Problem 8482

How many unique 3-digit numbers with non-repeating digits are divisible by 5?

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Problem 8483

Determine the nature of roots for a quadratic equation based on the discriminant values: 0, 4, 2, and -2.

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Problem 8484

If 1585 plasma TVs are sold, how many flatscreen TVs were sold if the ratio is 3:5? Also, for 27,360 total seats sold, find general admission seats if the ratio is 4:5.

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Problem 8485

Find three consecutive even integers where the smallest plus twice the median equals 20 more than the largest: x+2(x+2)=(x+4)+20x + 2(x + 2) = (x + 4) + 20.

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Problem 8486

Jasmine earned $25.20\$ 25.20 for 6 hours and $16.80\$ 16.80 for 4 hours. Find the function for her earnings (c)(c) based on hours (h)(h).

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Problem 8487

Find the leg length xx in a right triangle with one leg 18 and hypotenuse 9.

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Problem 8488

In Amanda's class, the ratio of students with widow's peaks to those without is 3:2. With 35 students, how many lack widow's peaks? 32wp=35 \frac{3}{2} w p=35

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Problem 8489

In a class of 32 students with a junior to senior ratio of 5:3, how many are seniors? (A) 3 (B) 8 (C) 9 (D) 1 (E) 20

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Problem 8490

Find the leg xx of a right triangle with hypotenuse 18 and other leg 9. Provide the exact value. x= x=

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Problem 8491

Morgan's new balance after a \$600 purchase with a 10.99% APR and 4.5% minimum payment is needed. Round to the nearest cent.

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Problem 8492

Morgan's new balance after a \$600 purchase on a card with 20.99\% APR and 4\% minimum payment is needed.

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Problem 8493

Gina's credit card has an APR of 18.99% and a limit of \$1600. If she buys \$200, what is her minimum payment at month-end?

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Problem 8494

Find tanθ\tan \theta given sinθ=14\sin \theta=\frac{1}{4} and cosθ=154\cos \theta=\frac{\sqrt{15}}{4}.

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Problem 8495

Find the height of a tree that casts a 26m shadow with a sun angle of elevation of 2424^{\circ}. Options: 10m, 11m, 12m, 13m.

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Problem 8496

The environmental club has 450 pounds of cans and collects 14 pounds weekly.
(i) Find the slope mm of the linear model. (ii) Find the starting value bb of the linear model. (iii) Predict pounds of cans by week 44. (iv) Predict weeks to reach 725 pounds.

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Problem 8497

Find cosθ\cos \theta for the point (15,20) on the terminal side of angle θ\theta. Options: 45\frac{4}{5}, 35\frac{3}{5}, 34\frac{3}{4}, 43\frac{4}{3}.

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Problem 8498

Find the exact value of cot(π2θ)\cot \left(\frac{\pi}{2}-\theta\right) if tanθ=7\tan \theta=7.

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Problem 8499

Find sinθ\sin \theta for the point (6,8) on the terminal side of angle θ\theta. Options: 45\frac{4}{5}, 35\frac{3}{5}, 43\frac{4}{3}, 34\frac{3}{4}.

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Problem 8500

Find sinθ\sin \theta for the point (6,8) on the terminal side of angle θ\theta. Choices: 45\frac{4}{5}, 35\frac{3}{5}, 43\frac{4}{3}, 34\frac{3}{4}.

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