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zhenek [66]
3 years ago
15

This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value

3.14.
A) 2,732 square yards
B) 2,992 square yards
C) 3,423 square yards
D) 3,554 square yards
E) 3,588 square yards

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

D

Step-by-step explanation:

Did it on plato :)))

Hoochie [10]3 years ago
7 0
The shapes found in the image are incomplete circle and triangle.

The radius is given at 35 yards.

Area of the circle = 3.14 * (35yd)² = 3.14 * 1225 yd² = 3,846.5 yd²
Area of the circle = 3,846.50 yd²  * (280/360)° = 2991.72 yd²

<span>The area of the triangular section will be </span>
<span>Area of the triangle = (1/2)*(45 yd)*(25 yd) = 562.5 yd</span>²<span> 
</span>
<span>So the total area is </span>
<span>(2991.72 + 562.5) yd</span>²<span> = 3554.22 yd^2 ≈ 3554 yd</span>²    Choice D.
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Answer:

p = 4

Step-by-step explanation:

Given equation:

x^2+(p-3)y^2-4x+6y-16=0

<u>Standard equation of a circle:</u>

(x-a)^2+(y-b)^2=r^2

(where (a,b) is the centre of the circle, and r is the radius)

If you expand this equation, you will see that the coefficient of y^2 is always one.

Therefore, p-3=1

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<u>Additional information</u>

To rewrite the given equation in the standard form:

\implies x^2+y^2-4x+6y-16=0

\implies x^2-4x+y^2+6y=16

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Step-by-step explanation:

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