First, you must find the original volume of the prism by applying the following formula:
V1=HxB
V1 is the original volume of the prism.
H is the height of the prism (H=10 ft).
B is the base are of the prism (B=5 ft2)
So, the original volume is:
V1=HxB
V1=(10 ft)(5 ft2)
V1=50 ft2
<span>
When the prism is dilated by a factor of 6/5, its volume is:
</span>
V2=(V1)*<span>(6/5)^3
</span> V2=(50 ft³)*<span>(6/5)^3
</span> V2=<span>
86.4</span> ft³
<span>
What is the volume of the dilated prism?
The answer is: </span><span>
<span>86.4</span></span> ft³
I think the answer would be A
Answer: x = -2
<u>Step-by-step explanation:</u>
A line perpendicular to y= (anything) is ....... x = ____
Since it must pass through a coordinate x = -2, y = 0
then the equation of the line is: x = -2
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
4x² - 25 = 0
4x² - 10x + 10x - 25 = 0
2x(2x) - 2x(5) + 5(2x) - 5(5) = 0
2x(2x - 5) + 5(2x - 5) = 0
(2x + 5)(2x - 5) = 0
2x + 5 = 0 U 2x - 5 = 0
- 5 - 5 + 5 + 5
2x = -5 2x = 5
2 2 2 2
x = -2¹/₂ x = 2¹/₂
Solution Set: {-2¹/₂, 2¹/₂}