Image is a triangle with one side labeled as the 3 point 6 feet diameter of a semi-circle. The vertex opposite the semi-circle side is bi-sected by a horizontal line labeled 4 point 8 feet between the semi-circle diameter side and the opposing triangle. Find the area of the irregular figure (use 3.14 for pi). Show your work. Round to the nearest tenth.

13.7 ft²

Step-by-step explanation:

The figure is made up of two regular shapes.

1. A semi-circle of 3.6 ft

radius = 3.6/2 = 1.8 ft

Area = 1/2 × 3.14 × 1.8²

        = 5.0868 ft²

2. A triangle

Area = 1/2 × base length × height

        = 1/2 × 3.6 × 4.8

        = 8.64 ft²

Area of the irregular shape = 5.0868 + 8.64

                                             = 13.7268 ft²

To the nearest tenth = 13.7 ft²

you have 6 cupcakes

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,