Answer:
Step-by-step explanation:
Assume that the two prisms have bases of equal area.
Then the volume of the rectangular prism is V = (base area)(height).
The volume of the triangular prism is V = (1/3)(base area)(height)
We could compare the two volumes by creating the ratio inequality
(1/3) (base area)(t-height)
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(base area)(r-height)
The triangular prism will have the greater volume for (1/3)((t-height) > r-height.
Answer:
Step-by-step explanation:
The cube root of 15,409,000 = 248.84 yards.
There are 1760 yards in a mile
One edge of a cube = 248.84 / 1760 = .141386 miles.
So a cube would be .00283cubic miles. Your answer does not reach a hundredth place, I don't think.
Answer:
20
Step-by-step explanation:
2/3 want to go
If there are 30 people, we can find our answer pretty easily as 30 is 10 times more than 3.
2/3 = 20/30
So 20 people would like to go :O
Hope this helps, have a nice day :))
Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
= (x² - 9)(x - 5) ← distribute
= x³ - 5x² - 9x + 45
Answer:
These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.
To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.
x+50 = 3x-100 - now all we need to do is solve for x:
x+50 = 3x-100
50=2x-100
150=2x
75=x
x=75
Step-by-step explanation:
