Answer:
V ≈ 714 in³
Step-by-step explanation:
The volume of a triangular prism can be found using the formula:
V = Bh, where B = the area of the base and h = the height of the prism. Since the base is a triangle, you will need to use the formula for area of a triangle: A = bh.
In this figure, the base of the triangle = 23.25 and the height of the triangle is 10.25. So, the area = ()(23.35)(10.25) ≈ 119 in²
With the B = 119 and the height of the prism = 6:
V = 119(6) = 714 in³
All parallel lines have the same slope. So the product of the slopes of line AB n a line parallel to AB is m*m=m^2
250 because 432 minus 68 divided by two plus 68 is 250
Answer:
Michael 24
Noor 42
Step-by-step explanation:
Ratio is 4:7
The initial quatity is 4x and 7x
After giving 3 shares the quatities are
4x - 3 and 7x + 3
Set equal to the new ratio
(4x - 3) / (7x + 3) = 7 / 15
Cross multiply
15(4x - 3) = 7(7x + 3)
Distribute
60x - 45 = 49x + 21
Add 45 to both sides
60x = 49x + 66
Subtract 49x from both sides
11x = 66
Divide both sides by 11
x = 6
Therefor
4x = 4*6 = 24 <–––– Michael's initial quantity
7x = 7*6 = 42 <–––– Noor's initial quantity