Answer:
d = 2(40.11 cm) = 80.22 cm
Step-by-step explanation:
The formula for volume of a sphere is V = (4/3)πr³
and here V = (4/3)πr³ = 2145 cm³
Let's simplify this equation by multiplying both sides by (3/4); this will cause (4/3) to disappear:
(3/4)(4/3)πr³ = (3/4)2145 cm³, or
r³ = 1608.75 cm³
Taking the cube root of both sides, we get:
r = 40.11 cm
Remembering that diameter = 2 times radius, we calculate the diameter:
d = 2(40.11 cm) = 80.22 cm
Answer: 1.83
Step-by-step explanation:
Z = (x - mean) / standard deviation
= (97-75) / 12
= 22/12 = 11/6 = 1.83
Rewrite it as y=6x-7/5
Flip the x and y
x=6y-7/5
Solve
5x=6y-7
5x+7=6y
5/6x+7/6=y
f^-1(x)=5/6x+7/6
Answer:
X = -29/10
Step-by-step explanation:
Answer:
RS = 10
Step-by-step explanation:
We are told that to get ∆QRS, the scale factor of ⅖ was used. To get side RS, we would multiply the side length of the side that corresponds to RS.
YZ corresponds to RS.
YZ = 25
Thus,
RS = 25*⅖
RS = 10