Calculate the area of a circle with a diameter of 10.8 centimeters.
91.6 cm\(^2\)
Solve this exercise using the fact that the sum of the measures of the three angles of a triangle is \( 180 ^ { \circ } \) . In a triangle, the measures of the three angles are \( x , x - 28 \) , and \( x + 37 \) . What is the measure of each angle? The measure of the first angle, \( x \) , is \( \square ^ { \circ } \) .
Two boats leave a port at the same time. One travels at \( 25 mi / hr \) in a direction \( N 32 ^ { \circ } E \) , and the other travels at \( 30 mi / hr \) in a direction \( S 32 ^ { \circ } E \) .
a. Sketch the navigation direction of the boats.
b. Find the distance between them after \( 1 \) hour.
A rectangular building is to be placed on a lot that measures \( 30 m \) by \( 40 m \) . The building must be placed in the lot so that the width of the lawn is the same on all four sides of the building. Local restrictions state that the building cannot occupy any more than \( 50 \% \) of the property. What are the dimensions of the largest building that can be built on the property?
If a baseball is a sphere with a radius of \( 3.75 cm , \) what is the surface area of the baseball? Use
\( \pi = 3.14 . \)
A. \( 60.5 cm ^ { 2 } \)
B. \( 181.46 cm ^ { 2 } \)
C. \( 176.6 cm ^ { 2 } \)
D. \( 725.8 cm ^ { 2 } \)
What is the radius of a circle whose equation is \( ( x + 5 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 4 ^ { 2 } ? \)
\( 2 \) units
\( 4 \) units
\( 8 \) units
\( 16 \) units