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2 years ago

Find the area of the shaded region to the nearest tenth. See picture for full problem. Please and thank you so much!

Mathematics

1 answer:

Anestetic [448]2 years ago

8 0

Answer:

Step-by-step explanation:

Radius =6 ft

Area of circle = πr²

= 3.14 * 6 * 6

= 113.04 ft²

base = 10.39 ft

height = 6+3 = 9 ft

$Area \ of \ triangle = \dfrac{1}{2}*base * height\\\\\\=\dfrac{1}{2}*10.39*9\\$

= 46.76 ft²

Area of the shaded region = area of circle - area of triangle

= 113.04 - 46.76

= 66.28

= 66.3 ft²

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3 years ago

Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .

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Answer: the equation is

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Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

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3 years ago

Complete the solution of the equation. Find the<br> value of y when x equals 17.<br> -x + y = -27

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Step-by-step explanation:

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3 years ago

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A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how m

fomenos

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V = $\pi r^2h$

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V = $\pi * 10^2*20 = 6283.19 ft^3$

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

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Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

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3 years ago

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