Answer:
C.
2.67 inches by 2.27 inches
Step-by-step explanation:
We can use ratios to solve
1 in x inches
-------- = ---------
7.5 ft 20 ft
Using cross products
1*20 = 7.5x
Divide each side by 7.5
20/7.5 =7.5x/7.5
2.67 =x
We can do the same for the other dimension
1 in x inches
-------- = ---------
7.5 ft 17 ft
Using cross products
1*17 = 7.5x
Divide each side by 7.5
17/7.5 =7.5x/7.5
2.27 =x
2.67 inches by 2.27 inches
24ft is the hypotenuse, at an angle of 75<span>⁰, and we need to find the adjacent.
We use cos(), which is adjacent divided by hypotenuse.
Therefore, we can find the adjacent by doing:
25 * cos(75) = 6.47ft
Round the answer however you like.</span>
Answer: ![v=\sqrt[]{\frac{2K}{m} }](https://tex.z-dn.net/?f=v%3D%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D)
Step-by-step explanation:
First, multiply by 2 to get rid of the 2 in the denominator. Remember that if you make any changes you have to make sure the equation keeps balanced, so do it on both sides as following;
Divide by m to isolate 
.
To eliminate the square and isolate v, extract the square root.
![\sqrt[]{\frac{2K}{m} }=\sqrt[]{v^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3D%5Csqrt%5B%5D%7Bv%5E2%7D)
![\sqrt[]{\frac{2K}{m} }=v](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7B2K%7D%7Bm%7D%20%7D%3Dv)
let's rewrite it in a way that v is in the left side.
Answer:
mx -y = 4m -7
Step-by-step explanation:
Standard form is ...
ax +by = c
where a, b, c are mutually prime integers and a > 0.
If we assume m > 0, then we need to collect the variable terms on the right side of the equation, so the coefficient of x will be positive.
y -7 = mx -4m . . . . eliminate parentheses
-7 = mx -y -4m . . . . subtract y
4m -7 = mx -y . . . . . add 4m
mx -y = 4m -7 . . . . . . standard form
