Ratio of 9 maple trees to 5 oak trees how did they come up with 36 maple trees
1 answer:
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We must find the area of each cake's top.
Formula for area of a circle:
where r is the radius.
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)
A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)
A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^
Formula for area of a circle:
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)
A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)
A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^
Answer:
a) The polynomial is equivalent to , and the side length of the playground is
feet.
b) The perimeter of the playground, measured in feet, is .
Step-by-step explanation:
a) By Geometry, we know that area of the square is equal to the square of the side length. If is the area of the square, then must be a perfect square trinomial, that is:
(1)
Then, we must observe the following properties:
(2)
(3)
Therefore, the polynomial is equivalent to , and the side length of the playground is
feet.
b) The perimeter of a square equals four times the side length. That is:
The perimeter of the playground, measured in feet, is .