For this case we have the following relationship between the volumes:
Where,
V2: Volume of the triangular prism after applying the scale factor on each side
V1: Original volume of the triangular prism
k: scale factor
Substituting values we have:
Rewriting:
Answer:
the volume of the prism if each side is dilated by a factor of 1/3 will be
V = 1 cubic unit
From diameter you get radius by halving the diamter
radius = 14/2 = 7 cm
volume, height, and radius of a cylinder are all related by formula for volume of cylinder:
V = <span>πr²h
If we want to solve for h, we divide both sides by </span><span>πr² and get
h = V/(</span><span>πr²)
since V = 112</span><span>π and r = 7, h is equal to
h = (112</span>π)/(<span>π*7²) = 112/49 = 16/7 cm
height is C 16/7 cm
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Answer:
Its the first choice.
Step-by-step explanation:
f(x) = 3^(x-1)
log₃ f(x) = (x-1)log₃ 3 log₃ 3 = 1 , so:-
log₃ f(x) = x - 1
x = log₃ f(x) + 1 Replace x by f-1(x) and f(x) by x, so:-
f-1(x) = log₃ x + 1
The statement that is true is f(-2)=g(-2), if i did the math correctly :)
Here is some pro tips, I take algebra 1, and I’m in middle school too.
x * x = x^2
If you see anything like (x + 5)(x - 5), solve using FOIL, (front, outer, inner, last), it’s basically the distributive property for four numbers and x’es.
Distributive property is a must know.
And also, if you are feeling nervous, remember, even if you fail the leap test, it doesn’t make you less of a intelligent, kind, and caring person.