Answer:
A. 821.5 Square Yards
Step-by-step explanation:
30 x 30= 900
900 is the area for the whole park
To find the pool area you need to do pi times Radius squared
so 3.14 x 5 x 5
That equals 78.5 for the pool area.
So to find the grass area you need to subtract the pool area from the park
900 - 78.5 = 821.5 square yards!
The length of the pencil would be 17. This could be easily found by using a^2 + b^2 = c^2. Please mark me brainliest it would be pretty cash money of you
Answer:
Option 4.
Step-by-step explanation:
The vertex form of a parabola is
... (1)
where, a is a constant (h,k) is vertex.
The given function is

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).
It is given that the vertex of function g(x) is at (5,2).
Substitute h=5 and k=2 in equation.

g(x) is passes through (3, 6).
.... (2)


Divide both sides by 4.

Substitute a=1 in equation (2).


The function g(x) is
.
Therefor, the correct option is 4.
Answer:
e. 10√30
Step-by-step explanation:
In this right triangle geometry, all of the right triangles are similar. This means that the ratio of long side to hypotenuse is the same for all triangles:
x/(10+50) = 50/x
Multiplying by 60x, we have ...
x^2 = 3000
x = 10√30 . . . . . take the square root. Matches choice E.
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<em>Comment on estimating</em>
You're looking for x. Examining the figure, you see that x is the long side of the triangle with hypotenuse 10+50=60, so it will be shorter than that value. x is also the hypotenuse of the triangle with long side 50. So, x will be longer than 50.
The only answer choice with a value between 50 and 60 is choice E.
You don't even need to know how to find x. You only need to know that the hypotenuse is the longest side in a right triangle.
C. 6
Step-by-step explanation:
try multiplying everything by one of the numbers
(x/2)6 + (x/3)6 = (25/3)6
6x/2+ 6x/3 = 150/3
3x +2x = 50