![\frac{1}{5}r=45 \\ \\ r=45*5= 225](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7Dr%3D45%20%5C%5C%20%20%5C%5C%20r%3D45%2A5%3D%20225)
<span>Just multiply both sides by 5</span>
Answer:
x = -100
You'd multiply both sides by 5/(-4) to solve in one step.
Answer:
3.25 pounds per acre
Step-by-step explanation:
We want to find how much pounds of seed is need per acre. In division, with a numerator and denominator, this works perfectly, with how much we need (of seed) per acre translating into
, with the line representing the per. We can plug this into a calculator to get 3.25 pounds per acre, or ![\frac{3.25 pounds}{1 acre}](https://tex.z-dn.net/?f=%5Cfrac%7B3.25%20pounds%7D%7B1%20acre%7D)
Answer:
B. 24
Step-by-step explanation:
just took the quiz and got it right
Answer:
The area of the hexagon is ![1,014\sqrt{3}\ ft^{2}](https://tex.z-dn.net/?f=1%2C014%5Csqrt%7B3%7D%5C%20ft%5E%7B2%7D)
Step-by-step explanation:
we know that
The area of a regular hexagon is equal to
![A=\frac{1}{2}Pa](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7DPa)
where
P is the perimeter
a is the apothem
Find the length side of the hexagon
Let
b-----> the length side of the hexagon
Remember that
The formula to calculate the length side given the apothem is equal to
![b=\frac{2a}{\sqrt{3}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B2a%7D%7B%5Csqrt%7B3%7D%7D)
we have
![a=13\sqrt{3}\ ft](https://tex.z-dn.net/?f=a%3D13%5Csqrt%7B3%7D%5C%20ft)
substitute
![b=\frac{2(13\sqrt{3})}{\sqrt{3}}](https://tex.z-dn.net/?f=b%3D%5Cfrac%7B2%2813%5Csqrt%7B3%7D%29%7D%7B%5Csqrt%7B3%7D%7D)
![b=26\ ft](https://tex.z-dn.net/?f=b%3D26%5C%20ft)
<em>Find the perimeter P</em>
![P=6b=6(26)=156\ ft](https://tex.z-dn.net/?f=P%3D6b%3D6%2826%29%3D156%5C%20ft)
<em>Find the area of the hexagon</em>
![A=\frac{1}{2}(156)(13\sqrt{3})=1,014\sqrt{3}\ ft^{2}](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28156%29%2813%5Csqrt%7B3%7D%29%3D1%2C014%5Csqrt%7B3%7D%5C%20ft%5E%7B2%7D)