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natali 33 [55]
2 years ago
5

Find the area of circle Y. The image is represented by circle Y with a sector XYZ that has an area of 85.5 square meters. That s

ector has an arc that measures 117 degrees. The radius of the circle is unknown.
Mathematics
1 answer:
pochemuha2 years ago
6 0

Answer:

  263.08 m²

Step-by-step explanation:

The fraction of circle area that a sector represents is proportional to the central angle.

<h3>Proportion</h3>

  circle area/circle angle = sector area/sector angle

  circle area / 360° = 85.5 m² / 117°

Multiplying by 360°, we have ...

  circle area = (360/117)(85.5 m²) = 263.08 m²

The area of the circle is about 263.08 m².

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Find the value of x.
Gala2k [10]

Answer:

\large\boxed{2\sqrt7}

Step-by-step explanation:

Look at the picture.

ΔADC and ΔACB are similar. Therefore the corresponding sides are in proportion:

\dfrac{AC}{AD}=\dfrac{AB}{AC}

We have

AC=x,\ AD=2,\ AB=2+12=14

Substitute:

\dfrac{x}{2}=\dfrac{14}{x}           <em>cross multiply</em>

x^2=(2)(14)\\\\x^2=28\to x=\sqrt{28}\\\\x=\sqrt{4\cdot7}\\\\x=\sqrt4\cdot\sqrt7\\\\x=2\sqrt7

5 0
4 years ago
Solve Systems of Equations Algebraically. <br> y=x-8 <br> y=5x
larisa86 [58]

Answer:

(- 2, - 10 )

Step-by-step explanation:

Given the 2 equations

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y = 5x → (2)

Substitute y = 5x into (1)

5x = x - 8 ( subtract x from both sides )

4x = - 8 ( divide both sides by 4 )

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Substituting into (1)

y = - 2 - 8 = - 10

solution is (- 2, - 10 )

5 0
3 years ago
Write each phrase as an algebraic expression<br><br> “One-half of x plus 2”
Tcecarenko [31]

Answer:1/2x+2

Step-by-step explanation:

5 0
3 years ago
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Tell whether the fractions are equivalent. Write = or =/. ( Equal or not equal). A- 8/10 and 4/5 B- 1/2 and 7/12 C - 3/4 and 8/1
Digiron [165]
A - 8/10 = 4/5 B - 1/2 =/ 7/12 C- 3/4 =/ 8/12 D 2/3 = 4/6

4 0
3 years ago
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Semmy [17]

Answer:

Yes, this is a function

Step-by-step explanation:

This relation is function because 1 x value corresponds to 1 y value

5 0
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