Answer:
It's 24 packs of cat food
Step-by-step explanation:
You have to think of it as 30% of 80.
30 ?
----- = ----
100 80
Now you have to find out what is in the blank by doing 80 times 30 to find what that equals. That equals 2,400. Now you have to find what times a 100 gets you 2,400. You divide a 100 by 2,400 to get 24. There's your answer
Answer:
Part 1) ![A=36(\pi-2)\ cm^2](https://tex.z-dn.net/?f=A%3D36%28%5Cpi-2%29%5C%20cm%5E2)
Part 2) ![P=6(\pi+2\sqrt{2})\ cm](https://tex.z-dn.net/?f=P%3D6%28%5Cpi%2B2%5Csqrt%7B2%7D%29%5C%20cm)
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
Part 1) Find the area
we know that
The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle
so
![A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B4%7D%5Cpi%20r%5E%7B2%7D-%5Cfrac%7B1%7D%7B2%7D%28b%29%28h%29)
we have that the base and the height of triangle is equal to the radius of the circle
![r=12\ cm\\b=12\ cm\\h=12\ cm](https://tex.z-dn.net/?f=r%3D12%5C%20cm%5C%5Cb%3D12%5C%20cm%5C%5Ch%3D12%5C%20cm)
substitute
![A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B4%7D%5Cpi%20%2812%29%5E%7B2%7D-%5Cfrac%7B1%7D%7B2%7D%2812%29%2812%29%5C%5CA%3D%2836%5Cpi-72%29%5C%20cm%5E2)
simplify
Factor 36
![A=36(\pi-2)\ cm^2](https://tex.z-dn.net/?f=A%3D36%28%5Cpi-2%29%5C%20cm%5E2)
Part 2) Find the perimeter
The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle
The circumference of a quarter of circle is equal to
![C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B1%7D%7B4%7D%282%5Cpi%20r%29%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20r)
substitute the given values
![C=\frac{1}{2}\pi (12)\\C=6\pi\ cm](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B1%7D%7B2%7D%5Cpi%20%2812%29%5C%5CC%3D6%5Cpi%5C%20cm)
Applying the Pythagorean Theorem
The hypotenuse of right triangle is equal to
![AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm](https://tex.z-dn.net/?f=AC%3D%5Csqrt%7B12%5E2%2B12%5E2%7D%5C%5CAC%3D%5Csqrt%7B288%7D%5C%20cm)
simplify
![AC=12\sqrt{2}\ cm](https://tex.z-dn.net/?f=AC%3D12%5Csqrt%7B2%7D%5C%20cm)
Find the perimeter
![P=(6\pi+12\sqrt{2})\ cm](https://tex.z-dn.net/?f=P%3D%286%5Cpi%2B12%5Csqrt%7B2%7D%29%5C%20cm)
simplify
Factor 6
![P=6(\pi+2\sqrt{2})\ cm](https://tex.z-dn.net/?f=P%3D6%28%5Cpi%2B2%5Csqrt%7B2%7D%29%5C%20cm)
Answer:
green= 3 each
orange moon= 5 each
Step-by-step explanation:
The math club could rent the room for up to 8 hours. I have also attached a picture of the work in case you need it.
Answer:
I think its right
Step-by-step explanation:
a) In the long run, we have, 5k=10 and k=2l Thus, C=2l+3l= 5l=0.5q Thus, AC=5l/10l =0.5 MC=0.5 b) In the short run, k=10 Q=min(50,10l) If l<5, q=10l. C=10+3l= 10+0.3q Thus, AC=10/q + 0.3 If l>5, q=50. C= 10+3l AC= (10+3l)/50 If q>50, then MC...