He has 20 guppies?
This is what I got from the information. Unless they had eggs.
Answer: Cindy
Step-by-step explanation:
42/3.5=12 minutes per mile
So Cindy ran faster at 11 minutes per mile
X-intercept appears at when y = 0
So when cos(0.5x) = 0 -> 0.5x = pi/2 + n*pi, where n is any random integers
So x = pi + 2npi, so the angle can be pi, 3pi, 5pi, so on
we know that
Area of a circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=%20A%3D%5Cpi%20r%5E%7B2%7D%20%20)
where
r is the radius of the circle
Step ![1](https://tex.z-dn.net/?f=%201%20)
Find the radius of the circle for an area equal to ![135cm^{2}](https://tex.z-dn.net/?f=%20135cm%5E%7B2%7D%20%20)
![135=\pi r^{2} \\\\ r= \sqrt{\frac{135}{3.14}} \\ \\ r=6.56 cm](https://tex.z-dn.net/?f=%20135%3D%5Cpi%20r%5E%7B2%7D%20%5C%5C%5C%5C%20r%3D%20%5Csqrt%7B%5Cfrac%7B135%7D%7B3.14%7D%7D%20%20%5C%5C%20%5C%5C%20r%3D6.56%20cm%20)
Step ![2](https://tex.z-dn.net/?f=%202%20)
Find the radius of the circle for an area equal to ![155cm^{2}](https://tex.z-dn.net/?f=%20155cm%5E%7B2%7D%20%20)
![155=\pi r^{2} \\\\ r= \sqrt{\frac{155}{3.14}} \\ \\ r=7.03 cm](https://tex.z-dn.net/?f=%20155%3D%5Cpi%20r%5E%7B2%7D%20%5C%5C%5C%5C%20r%3D%20%5Csqrt%7B%5Cfrac%7B155%7D%7B3.14%7D%7D%20%20%5C%5C%20%5C%5C%20r%3D7.03%20cm%20)
![6.56\ cm \leq r \leq 7.03\ cm](https://tex.z-dn.net/?f=%206.56%5C%20cm%20%5Cleq%20r%20%5Cleq%207.03%5C%20cm%20%20)
One solution for this problem could be
![r=7\ cms](https://tex.z-dn.net/?f=%20r%3D7%5C%20cms%20%20)
because
![6.56\ cm \leq 7\ cm \leq 7.03\ cm](https://tex.z-dn.net/?f=%206.56%5C%20cm%20%5Cleq%207%5C%20cm%20%5Cleq%207.03%5C%20cm%20%20)
and
![A=\pi *7^{2} =153.86cm^{2}](https://tex.z-dn.net/?f=%20A%3D%5Cpi%20%2A7%5E%7B2%7D%20%3D153.86cm%5E%7B2%7D%20%20)
![135\ cm^{2} \leq 153.86\ cm^{2} \leq 155\ cm^{2}](https://tex.z-dn.net/?f=%20135%5C%20cm%5E%7B2%7D%20%5Cleq%20153.86%5C%20cm%5E%7B2%7D%20%5Cleq%20155%5C%20cm%5E%7B2%7D%20%20)
therefore
the answer is
The radius of the circle must be
![6.56\ cm \leq r \leq 7.03\ cm](https://tex.z-dn.net/?f=%206.56%5C%20cm%20%5Cleq%20r%20%5Cleq%207.03%5C%20cm%20%20%20)
Answer:
Noah had 8 cookies left over after the bake sale
Step-by-step explanation:
64 multiplied by 1.25 (or 125%) gives you 80 cookies
then you multiply 80 by .90 (or 90%) and you get 72 which means he sold 72 cookies
80-72 gives you 8 cookies
Noah had 8 cookies left over after the bake sale