Find the surface area

Mathematics

1 answer:

Eva8 [605]3 years ago

5 0

Answer:

73.461 yd^2

Step-by-step explanation:

Find the area of the circle.

Using A=πr^2

A = π x 5^2

A = 78.539

Find the area of the triangle.

A= $\frac{h_{b}b}{2}$

A = $\frac{(19)(16)}{2}$

A = 152

Subtract the area of the circle from the area of the triangle.

152 - 78.539 = 73.461 yd^2

You might be interested in

4. Suppose a security light is set into the ground and aims its light at the top of the building. The angle of elevation of the

brilliants [131]

Answer:

a) The distance of the light's base from the bottom of the building is approximately: 5.2 ft

b) The length of the beam is approximately: 10.4 ft

Step-by-step explanation:

First, we have to recognize that we may draw a right triangle to picture our problem. Then, in order to find out the distance of the light's base from the bottom of the building, we need to use the tangent trigonometric function:

tan(angle) = opposite side / adjacent side

We know the angle and the opposite side and we want to find the adjacent side:

adjacent side = opposite side / tan(angle) = 9 ft / tan(60°) = 9 ft / = 9 ft / 1.73 = 5.2 ft

In order to find the length of the light beam, we use Pythagoras Theorem:

leg1²+leg2² = hyp²

Since the length of the beam corresponds to the hypotenuse and since we already know the length of the two legs, it is just a matter of substituting the values:

hyp = square_root(leg1²+leg2²) = square_root(9² + 5.2²) ft = square_root(108.4) ft = 10.4 ft

7 0

3 years ago

A table bought for $450 was sold for $975 what the profit?

PolarNik [594]

<u>Step-by-step explanation:</u>

<h3>cost price = $450</h3><h3>selling price = $975</h3>

profit = selling price - cost price

= $975 - $450

<h3> = $525</h3><h2>--------------------------</h2><h2>FOLLOW ME</h2>

3 0

3 years ago