Answer:
8ft
Step-by-step explanation:
4x2=8
You multiply the radius by itself so r*2 times 3.142.
I think it is a linear function.
Answer:
![\displaystyle a:b=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3Ab%3D%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
<u>Ratios
</u>
We are given the following relations:
![a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]](https://tex.z-dn.net/?f=a%3D%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%5Cqquad%20%5Cqquad%5B1%5D)
![b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B63%7D%2B%5Csqrt%7Bd%7D%5Cqquad%20%5Cqquad%5B2%5D)
![\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7Bc%7D%7Bd%7D%3D%5Cfrac%7B1%7D%7B9%7D%20%5Cqquad%20%5Cqquad%20%5B3%5D)
From [3]:
![9c=d](https://tex.z-dn.net/?f=9c%3Dd)
Replacing into [2]:
![b=\sqrt{63}+\sqrt{9c}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B63%7D%2B%5Csqrt%7B9c%7D)
We can express 63=9*7:
![b=\sqrt{9*7}+\sqrt{9c}](https://tex.z-dn.net/?f=b%3D%5Csqrt%7B9%2A7%7D%2B%5Csqrt%7B9c%7D)
Taking the square root of 9:
![b=3\sqrt{7}+3\sqrt{c}](https://tex.z-dn.net/?f=b%3D3%5Csqrt%7B7%7D%2B3%5Csqrt%7Bc%7D)
Factoring:
![b=3(\sqrt{7}+\sqrt{c})](https://tex.z-dn.net/?f=b%3D3%28%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%29)
Find the ration a:b:
![\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20a%3Ab%3D%5Cfrac%7B%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%7D%7B3%28%5Csqrt%7B7%7D%2B%5Csqrt%7Bc%7D%29%7D)
Simplifying:
![\boxed{a:b=\frac{1}{3}}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%3Ab%3D%5Cfrac%7B1%7D%7B3%7D%7D)
1. Consider the parallelogram ABCD drawn in the 1. figure attached.
2. The diagonals of a parallelogram bisect each other, so AM=MC and BM=MD
3. In triangle ABC, BM is an altitude (BM perpendicular to AC), but also a median (AM=MC). An altitude is also a median only when the triangle is isosceles, so AB=BC
similarly, in triangle BCD, CM is both an altitude and a median.Thus, BCD is an isosceles triangle so BC=CD.
4. AB= DC (opposite sides of a parallelogram are equal), similarly BC=DA
5. So ABCD is a quadrilateral, with all 4 sides equal in length. Thus ABCD is a rhombus.
D
A
B
C
for more explanation please don't hesitate to just respond