Answer:
Step-by-step explanation:
The composite figure shown in the picture consists of a semi-circle and a trapezoid. We can even break this trapezoid into a rectangle and two triangles for even simpler calculations. We can find the total area of the figure by simply adding the total area of the shapes we will break the figure into:
Area of semi-circle (half the area of a circle):
Area of trapezoid (average of bases multiplied by height):
Thus, the total area of the figure is:
Answer:
The range of heights of the cheerleaders is the interval [58, 74)
All real numbers greater than or equal to 58 inches and less than 74 inches
Step-by-step explanation:
we have
Divide the compound inequality into two inequalities
-----> inequality A
-----> inequality B
Solve inequality A
Subtract 28 both sides
Divide by 4 both sides
Rewrite
Solve the inequality B
Subtract 28 both sides
Divide by 4 both sides
therefore
The range of heights of the cheerleaders is the interval [58, 74)
All real numbers greater than or equal to 58 inches and less than 74 inches
Answer:
Volume of the solid figure = 1131 cubic inches
Step-by-step explanation:
Volume of solid figure = Volume of half cylindrical prism + Volume of the rectangular prism
Volume of half cylindrical prism =
=
= 339.29 cubic inch.
Volume of the rectangular prism = (length × width × height)
= 11 × 6 × 12
= 792 cubic inches
Volume of the solid figure = 339.29 + 792
= 1131.29
≈ 1131 cubic inches