Answer:
length = 13 ft
Width = 3 ft
Step-by-step explanation:
Width = w ft
Length = ( w +10 ) ft
Area = 39 square ft
length * width = 39
(w +10)* w = 39
w *w + 10*w = 39
w² + 10w - 39 = 0
w² + 13w - 3w - 3*13 = 0
w(w + 13) - 3(w + 13) = 0
(w + 13) (w - 3) = 0 {Ignore w + 13 , as measurement cannot be in negative}
w - 3 = 0
w = 3
length = 3 +10 = 13 ft
15+10 =25 years old(Marry)
Divide it by 2 = 12.5
=13
Marry =25
Niece= 13
Answer: 9.2 years
Step-by-step explanation:
Given the following :
Mean(m) = 11.7 years
Standard deviation (s) = 1.2 years
Recall the z-score formula :
Z = (x - m) / s
We can find the z-score by locating the value of 2% in the negative z-table, then solve for x.
2% = 0.02
0.02 falls most closely to 0.02018whuch is under - 2.05.
Using the z-score value in the formula above :
-2.05 = (x - 11.7) / 1.2
Cross multiply
(-2.05 × 1.2) = x - 11.7
-2.46 = x - 11.7
x = - 2.46 + 11.7
x = 9.24 years
Answer:
9 inches
Step-by-step explanation:
The volume of a pyramid is given as:

where l = length of base of pyramid
w = width of base of pyramid
h = height of pyramid
The volume of the cylinder is already known (
) and the other two dimensions are known as 5 in and 7 in.
From the formula of the volume of the pyramid, the height of the pyramid is given as:

Hence, the height of the pyramid is:

The pyramid's height is 9 inches.
The expression would show three sevenths of y minus four.
