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djyliett [7]
3 years ago
5

If 2/3 of the distance from the y-axis to point A (−30, −45) is equal to 1/4 of the distance from the x-axis to point B(a, a), w

here a > 0, what is the value of a?
50pts + BRAINLIEST
Mathematics
1 answer:
user100 [1]3 years ago
8 0

A n s w e r : .

a = 40

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a is 7/25

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See answers below for explanations (answers are in bold)

Step-by-step explanation:

<u>Problem 1 (Top left):</u>

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

<u>Problem 2 (Top right):</u>

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<u>Problem 3 (Bottom left):</u>

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<u>Problem 4 (Bottom right):</u>

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

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