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:
A
Step-by-step explanation:
Substitute the given values into the expression
2a² + cb
= 2(5)² + 3(11)
= 2(25) + 33
= 50 + 33
= 83 → A
Answer:
you could divide
Step-by-step explanation:
S = (-5,0)
T = (2,1)
Step-by-step explanation:
Step 1 :
Given
Q = (3,6) and R = (-4,5). P = (-1,3)
Let S be (a,b) and T be (c,d)
The diagonals of a parallelogram bisect each other. so in order to ensure that QRST is a parallelogram, P must be the mid point of the diagonals QS and RT.
Step 2 :
P is the midpoint of QS
So we have (3+a) ÷ 2 = -1 and (6 + b) ÷ 2 = 3
=> 3 + a = -2 and 6 + b = 6
=> a = -5 and b =0
So S should be (-5,0)
Step 3 :
P is the midpoint of RT
So we have (-4+c) ÷ 2 = -1 and (5 + d) ÷ 2 = 3
=> -4+ c = -2 and 5 + d = 6
=> c = 2 and d =1
So T should be (2,1)
Step 4 :
Answer :
S = (-5,0)
T = (2,1)
ln(x−7)==4/3
To solve for x, rewrite the equation using properties of logarithms.
e^ln(x−7) =e^4/3
Solve for x
x=e^4/3 + 7
The result can be shown in multiple forms.
Exact Form:
x= e^4/3+7
Decimal Form:
x=10.79366789
