Answer:
V = 36 in³
Step-by-step explanation:
The volume of a rectangular prism is given by the formula V = l × w × h
Here our length is
, our width is 4, and our height is 
Plugging in these values to our formula give us 
V = 36 in³
Answer:
x = 87
Step-by-step explanation:
the ratio SR / RV is equal the ratio ST / TU (both ratios are equal to 1), and the angle in the vertex S is the same for both triangles SUV and STR, so we can affirm that these triangles are similar (case S-A-S).
Then, we have that the ratio SR / SV is the same as RT / UV:
SR / SV = RT / UV = 1 / 2
RT * 2 = UV
2*(x - 37) = x + 13
2x - 74 = x + 13
x = 87
9514 1404 393
Answer:
-5/y
Step-by-step explanation:
The wording "the quotient of A and B" is used to signify A/B.
Here, we want the quotient of -5 and y:
-5/y
Set it up as a ratio:
mans shadow over mans height (4/6 ) equals flag pole shadow over flag pole height (15/x)
set them to equal each other:
4/6 = 15/x
cross multiply: 4*x =4x, 15*6 = 90
so you have 4x = 90
now divide both sides by 5 to solve for x, which is the height of the flag pole:
x = 90 / 4 = 22.5 feet tall