Question

Use Dimensional Analysis or Metric conversions from the module videos to convert the following problems. You must show all work! Round answers to the nearest hundredth when necessary. Use the Conversion Factor Table provided in the unit.1.) 7.35 km = _______ mm2.) 13.5 ft2 = _______ yd23.) 248 meters per second = _______ miles per hour. Round to the nearest hundredth. (Be sure to use the following conversions: 1 mi = 1.61 km)4.) A cargo container is 25 ft long, 10 ft tall, and 12 ft wide. Find its volume in cubic yards.Answer: ________yd35.) Find the perimeter and area of a triangle with a base of 9 cm, height of 9.3 cm, and sides of 12 cm and 19 cm.Perimeter: _________cmArea: _________cm26.) Find the radius of a circle with a circumference of 36π inches.Answer: ________in

Answer 1

We know that the circumference of a circle is 36π.

And we must find the radius of the circle.

In order to find the radius we must use the next equation

`circumference=2\pi r`

Where r is the radius.

Now, we must replace circumference = 36π in the equation

`36\pi=2\pi r`

Finally, we must solve the equation for r

`r=(36\pi)/(2\pi)=18`

ANSWER:

`18\text{ inches}`