Problem 6
Calculate the height of a right circular cylinder with a surface area of 300
square inches and a radius of 5 inches to the nearest hundredth.
Problem 6
A square has a perimeter of 64 feet. Calculate the length of each side of the
square.
Problem 6
You are building a new double garage and use the length and width of your two
cars to estimate the area needed. Your car measurements are Car 1: 14 ft. 2
in. by 5 ft. 7 in. Car 2: 14 ft. 6 in. by \(5 \mathrm{ft}\). 9 in.
a. Based on these measurements, what would be a reasonable floor plan for your
garage? Explain.
b. What is the area of the floor plan you designed in part a?
Problem 6
Pythagorean triples are three positive integers that could be the lengths of
three sides of a right triangle. For example, \(3,4,5\) is a Pythagorean triple
since \(5^{2}=3^{2}+4^{2}\)
a. Is \(5,12,13\) a Pythagorean triple? Why or why not?
b. Is \(5,10,15\) a Pythagorean triple? Why or why not?
c. Is \(1,1,2\) a Pythagorean triple? Why or why not?
d. Name another Pythagorean triple. Explain.
Problem 7
A rectangle has a perimeter of 75 meters and a length of 10 meters. Calculate
its width.
Problem 7
You own a summer home on the east side of Lake George in New York's Adirondack
Mountains. To drive to your favorite restaurant on the west side of the lake,
you must go directly south for 7 miles and then directly west for 3 miles. If
you could go directly to the restaurant in your boat, how long would the boat
trip be?
Problem 8
You are buying plywood to board up your windows in preparation for Hurricane Euclid. In the master bedroom you have a Norman window (in the shape of a rectangle with a semicircular top). You need to calculate the area of the window. If the rectangular part of the window is 4 feet wide and 5 feet tall, what is the area of the entire window? Explain.
Problem 9
The diameter of Earth is \(12,742\) kilometers; the diameter of the Moon is 3476
kilometers.
a. If you flew around Earth by following the equator at a height of 10
kilometers, how many trips around the Moon could you take in the same amount
of time, at the same height from the Moon, and at the same speed? Explain.
Problem 9
Is it possible to have a right triangle with sides measuring 7 inches, 10
inches, and 15 inches?
Problem 10
Determine the distance between the given points.
a. \((3,-11),(-12,-3)\)
b. \((-7,3),(2,-9)\)
