Find the rate of change of the base of a triangle with altitude 12 cm and area 97 sq cm, given the altitude is increasing at 2.5 cm/min and the area at 3.5 sq cm/min.
Find approximate solution to x2−7x−3=0 using iterative process. Start with x=7, then find 2x−7x2+3 and compare to x. Repeat until solution to 4 decimal places.
A toy company checks 8-ounce bubble bottles. A bottle passes if the percent error is ≤2%. What is the range of acceptable bottle volumes, rounded to the nearest hundredth?
Find the area of an isosceles right triangle with leg length 18cm given that a triangle with leg 12cm has area 72sqcm and the area varies directly as the square of the leg length.
Ant running at constant speed in circular path on clock face. Starts at 12 o'clock, moving clockwise. What is the direction of the ant's acceleration vector?
Calculate the markup and retail price for shoes given the price and markup percentage. Markup=Price×Markup %=$76.38×0.39=$29.79Retail Price=Price+Markup=$76.38+$29.79=$106.17
Find the width of a rectangular floor where the length is 5 feet less than twice the width, and the area is 150 square feet. Solution: Let the width be x feet. Then the length is 2x−5 feet. The area is x(2x−5)=150. Solving this quadratic equation, we get the width is x=10 feet.
Find the difference in cost of 300cm of ribbon between Shop A and Shop B, given that Shop A charges £1.56 for 120cm and Shop B charges £1.48 for 185cm.
Find the straight-line distance from the starting point after driving 14 miles east and 10 miles north. Round to the nearest tenth of a mile. Solution: The straight-line distance is given by 142+102≈17.2 miles.