Answer:
The other side would be 3ft and the bottom would be 1ft I believe.
2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ <u>2x + 16y = 8
</u> -<u>11y</u> = <u>-11 </u>
-11 -11
y = 1
2x + 5(1) = -3
2x + 5 = -3
<u> -5 -5</u>
<u>2x</u> = <u>-8</u>
2 2
x = -4
(x, y) = (-4, 1)
2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ <u>2x - 4y = -28</u>
<u>5y</u> = <u>35</u>
5 5
y = 7
2x + 7 = 7
<u> -7 -7</u>
<u>2x</u> = <u>0</u>
2 2
x = 0
(x, y) = (0, 7)
Answer:
The arc length of the partial circle is ![6\pi\ units](https://tex.z-dn.net/?f=6%5Cpi%5C%20units)
Step-by-step explanation:
we know that
The circumference of a circle is equal to
![C=2\pi r](https://tex.z-dn.net/?f=C%3D2%5Cpi%20r)
In this problem we have a 3/4 of a circle
so
the circumference is equal to
![C=(\frac{3}{4})2\pi r](https://tex.z-dn.net/?f=C%3D%28%5Cfrac%7B3%7D%7B4%7D%292%5Cpi%20r)
![C=\frac{3}{2}\pi r](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B3%7D%7B2%7D%5Cpi%20r)
we have
![r=4\ units](https://tex.z-dn.net/?f=r%3D4%5C%20units)
substitute
![C=\frac{3}{2}\pi (4)](https://tex.z-dn.net/?f=C%3D%5Cfrac%7B3%7D%7B2%7D%5Cpi%20%284%29)
![C=6\pi\ units](https://tex.z-dn.net/?f=C%3D6%5Cpi%5C%20units)
1) 4, because 4/5 is closer to 4 than it is 3 1/2.
2) 100
3) 5
First is 7 second is 8 third is 3