91Ó°ÊÓ

If a value of \(\pi\) is required in the following exercises, use \(\pi \approx 3.14\) a. At a subway stop, a train arrives every six minutes. waits one minute. and then leaves. If you arrive at a random time, what is the probability there will be a train waiting? b. If you arrive and there is no train waiting. what is the probability that you will wait no more than two minutes before one arrives?

Find the area of each figure. An equilateral triangle with sides 8 ft

If a value of \(\pi\) is required in the following exercises, use \(\pi \approx 3.14\) A dart is thrown at a board \(12 \mathrm{m}\) long and \(5 \mathrm{m}\) wide. Attached to the board are 30 balloons, each with radius \(10 \mathrm{cm} .\) Assuming each balloon lies entirely on the board, find the probability that a dart that hits the board will also hit a balloon.

The area of sector \(A O B\) is \(10 \pi\) and \(m \angle A O B=100 .\) Find the radius of circle \(O\)

The lengths of two similar rectangles are \(x^{2}\) and \(x y\), respectively. What is the ratio of the areas?

If 6 oz of dough are needed to make an 8 -in. pizza, how much dough will be needed to make a 16 -in. pizza of the same thickness? (Hint: Compare the areas of the pizza tops.)

A quadrilateral with sides \(8 \mathrm{cm}, 9 \mathrm{cm} .6 \mathrm{cm},\) and \(5 \mathrm{cm}\) has area \(45 \mathrm{cm}^{2} .\) Find the area of a similar quadrilateral whose longest side is \(15 \mathrm{cm} .\)

Find the area of each figure. An equilateral triangle with height 9

A Ferris wheel has diameter 42 ft. How far will a rider travel during a 4-min ride if the wheel rotates once every 20 seconds? Use \(\pi \approx \frac{22}{7}\).

The tires of a racing bike are approximately \(70 \mathrm{cm}\) in diameter. a. How far does a bike racer travel in 5 min if the wheels are turning at a speed of 3 revolutions per second? Use \(\pi \approx \frac{22}{7}\). b. How many revolutions does a wheel make in a \(22 \mathrm{km}\) race? Use \(\pi \approx \frac{22}{7}\).