Answer:
The diameter is 13.88 feet.
Step-by-step explanation:
1. The formula for calculate the volume of a sphere is:
Where 
is the radius.
2. The diameter is:
3. So, you must solve for the radius in the first equation:
![r=\sqrt[3]{\frac{4V}{3\pi}}](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B4V%7D%7B3%5Cpi%7D%7D)
![r=\sqrt[3]{\frac{4(790.272ft^{3} )}{3\pi}}\\r=6.94ft](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B4%28790.272ft%5E%7B3%7D%20%29%7D%7B3%5Cpi%7D%7D%5C%5Cr%3D6.94ft)
4. Then, the diameter is:
Answer:
Step-by-step explanation:
Find c if ∠PQR = 90°?
I will ASSUME you mean point P is at (3. c)
slope of PQ is (2 - c) / (9 - 3) = (2 - c) / 6
slope of QR is (11 - 2) / (3c - 9) = 9 / (3c - 9)
perpendicular lines have negative reciprocal slopes.
(2 - c) / 6 = -1(3c - 9)/9
9(2 - c) = -6(3c - 9)
18 - 9c = -18c + 54
9c = 36
c = 4
Answer:
27
Step-by-step explanation:
The actual mean is 27.008333333333, round that as you will.
Answer:
Both angles have a measure of 134degrees, y = 27degrees.
Step-by-step explanation:
As per what is given in the problem:
There are 2 parallel lines, both are intersected by a transversal.
Remember the theorem, when two parallel lines are intersected by a transversal, then the alternate exterior angles are congruent.
The is meanse that:
3y + 53 = 7y - 55
Solve using inverse operations:
3y + 53 = 7y - 55
+55 +55
3y + 108 = 7y
-3y -3y
108 = 4y
/4 /4
27 = y
Now, substitute back in to find the value of the angle:
3y + 53
y = 27
3 ( 27 ) + 53
81 + 53
= 134
Since the angles are alternate exterior, they are congruent, hence both angles have a measure of 134degrees.
i would start by simplifying the equation to get y by itself, you don't need to do this, but it makes it a little easier
y + 2 = 3 ( x + 4) distribute the 3 through the parenthesis
y + 2 = 3x + 12. subtract 2 from both sides
y = 3x +10
now to fill in the chart simply plug in the value of x to see what value of y it produces
y = 3(-2) +10
y = -6+10
y = 4
(-2,4)
y = 3(0) + 10
y = 0 + 10
y = 10
(0,10)
y = 3(2)+10
y = 6 + 10
y = 16
(2,16)
y = 3(4) + 10
y = 12 + 10
y = 22
(4,22)
