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elena-s [515]
2 years ago
13

I NEED THIS ASAP ( Look at the picture).

Mathematics
1 answer:
Alisiya [41]2 years ago
5 0

Answer:

r ≈ 4

Step-by-step explanation:

circle = 360 degrees

360 / 90 = 4

let's call the area of triangle XYZ + the shaded area portion A

because ∠XYZ = 90°, and 360 / 90 = 4, A = 1/4th of the area

total area of circle = πr²

XY = YZ = radius

thus, as ∠XYZ = 90° and two sides are the same, this forms a 45-45-90 triangle, with base YZ and height XY (base/height are interchangeable here)

thus, area of triangle XYZ = r*r/2 = r²/2

area A = r²/2 + 4.64

4 * A = total area of circle

4(r²/2+4.64) = πr²

2r²+18.56 = πr²

subtract 2r² from both sides to put all the variables on one side

(π-2)r² = 18.56

divide both sides by (π-2) to isolate r²

18.56/(π-2) = r² ≈ 16.258

r ≈ 4.032 ≈ 4

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Step-by-step explanation:

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5 0
4 years ago
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Ne4ueva [31]

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8 0
3 years ago
In the above question is 400 the part or the whole?
Scrat [10]

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Step-by-step explanation:

6 0
3 years ago
Addison is 3 times as old as Bailey, and Bailey is 2.5 times as old as Christopher. If the sum of their ages is 66 , how old is
stepan [7]

Answer:

6 years old

Step-by-step explanation:

First, turn the information given in words as equations. Use variables to represent the people:

let A be Addison's age

let B be Bailey's age

let C be Christopher's age

A = 3B          (Addison is 3 times as old as Bailey)

B = 2.5C          (Bailey is 2.5 times as old as Christopher)

A + B + C = 66        (the sum of their ages is 66) (sum means addition)

Start with the equation for the sum of their ages (A + B + C = 66). You have other equations that can replace the variables in this equation.

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3 0
3 years ago
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professor190 [17]

Answer:

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3 0
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