Find the perimeter of a rectangle with a width of \(5\) yards and a length of \(8\) yards.

Find the perimeter of each stamp. Write your answer as a decimal, round to the nearest tenth.

1. Each side is \(35.0\) millimeters

2. Base \(=2\frac{5}{8}\) inches, other two sides\( =1\frac{7}{8}\)

3. Length \(=1.56\) inches, width \(=0.99\) inches

Find the circumference of each coin.

1. Diameter \(=23.25\) millimeters

2. Radius \(=0.52\) inches

If the circumference of the Earth is about \(24,900\) miles at the equator, what is the diameter of the Earth to the nearest \(10\) miles?

A parallelogram has a base of \(5\) centimeters and a height of \(2\) centimeters. Find the area.

A triangle has a base of \(6\) centimeters and a height of \(3\) centimeters. Find the area.

Find the area of each stamp.
a. Each side is 35.0 millimeters
b. Base \(=25 / 8\) inches, Height \(=11 / 4\) inches
c. Length \(=1.56\) inches, Width \(=0.99\) inches

Find the surface area of a box with a width of \(3\) inches, a length of \(4\) inches, and a height of \(5\) inches.

A drinking straw has a radius of \(0.125\) inch and a length of \(6\) inches. How much material was used to make the straw?

A figure is composed of a right circular cylinder with half a sphere on top. The cylinder has a radius of \(5\) inches and a height of \(10\) inches. Find the surface area of the figure assuming it is closed on the bottom.

Find the volume of a rectangular solid with length \(15\) inches, width is \(3\) inches, and height \(5\) inches.

A drinking straw has a radius of \(0.125\) inch and a length of \(6\) inches. To the nearest thousandth, find the volume of the liquid that it will hold.

Find the volume of a cone with a radius \(3\) centimeters and height \(5\) centimeters.

A figure is composed of a right circular cylinder with half a sphere on top. To the nearest tenth, find the total volume enclosed by the figure.

Two triangles are similar. Find side \(x\).

The width and height of the two video clips are proportional. Find the height, \(h\), in pixels of the larger video window.

Draw a triangle similar to triangle \(ABC\), if \(AC\) is proportional to \(DF\). Make \(E\) the third vertex of the new triangle.

A building casts a shadow of \(105\) feet while a \(21\)-foot flagpole casts a shadow that is \(15\) feet. Find the height of the building.

Use a proportion to determine the perimeter \(P\) of the new board.

The vertical rise of the Forest Double chair lift is \(1,170\) feet and the length of the chair lift is \(5,750\) feet. To the nearest foot, find the horizontal distance covered by a person riding in the lift.

If the shortest side of a \(30^{\circ}-60^{\circ}-90^{\circ}\) triangle is \(5\), find the other two sides.

A ladder is leaning against a wall. The top of the ladder is \(4\) feet above the ground and the bottom of the ladder makes an angle of \(60^{\circ}\) with the ground. How long is the ladder, and how far from the wall is the bottom of the ladder?

A \(10\)-foot rope connects the top of a tent pole to the ground. If the rope makes an angle of \(45^{\circ}\) with the ground, find the length of the tent pole.

Triangle \(ABC\) is a right triangle with \(C=90^{\circ}\). If \(a=6\) and \(c=10\), find the six trigonometric functions of \(A\).

Fill in the blanks so that each expression becomes a true statement.

1. \(\sin\underline{\qquad}=\cos{30^{\circ}}\)

2. \(\tan{y}=\cot\underline{\qquad}\)

3. \(\sec{75^{\circ}}=\csc{\underline{\qquad}}\)

Show that the following are true.

1. \(\cos^2{30^{\circ}}+\sin^2{30^{\circ}}=1\)

2. \(\cos^2{45^{\circ}}+\sin^2{45^{\circ}}=1\)