The figure shown is a rectangle with a semicircle on each end. What is the area of the figure? Use 3.14 for 7 and round your answer to the nearest tenth.

9514 1404 393

  (c)  76.3 in^2

Step-by-step explanation:

From the offered selections, you can make an informed choice with a simple estimate.

The overall length of the figure is 8+6 = 14 inches, and its width is 6 inches. The area will be smaller than a 14 × 6 = 84 square inch rectangle, and larger than the central rectangle of 8 × 6 = 48 square inches.

The only choice in the range 48 to 84 square inches is the correct one:

  76.3 square inches

__

If you'd like to figure it out, the area is the sum of the 48 square inch central rectangle and the (π/4)(36 in^2) ≈ 28.26 square inch circle. That total, rounded to tenths, is 76.3 square inches.

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

28

step-by-step explanation:

because that's the answer