91Ó°ÊÓ

What happens to the volume of a sphere if its radius is doubled?

A scale model of a car is constructed so that its length, width, and height are each \(\frac{1}{10}\) the length, width, and height of the actual car. By how many times does the volume of the car exceed its scale model?

Using the formula for the area of a parallelogram \((A=b h)\), explain how the formula for the area of a triangle \(\left(A=\frac{1}{2} b h\right)\) is obtained.

Explain why a square is a regular polygon, but a rhombus is not.

Using the formula for the area of a triangle, explain how the formula for the area of a trapezoid is obtained.

Explain why a circle is not a polygon.

Describe the difference between the following problems: How much fencing is needed to enclose a circular garden? How much fertilizer is needed for a circular garden?

Consider the following uppercase letters from the English alphabet: Which letters contain perpendicular line segments?

Determine whether each statement makes sense or does not make sense, and explain your reasoning. A wheelchair ramp must be constructed so that the slope is not more than 1 inch of rise for every 1 foot of run, so I used the tangent ratio to determine the maximum angle that the ramp can make with the ground.

Explain why the sine or cosine of an acute angle cannot be greater than or equal to 1 .