Answer: V=37.5 cm³
Step-by-step explanation:
Formula
V=(πr²h)/3
Given
r=5/2=2.5 cm
h=6 cm
Solve
V=(πr²h)/3
V=(π(2.5)²(6))/3
V=(π(6.25)(6))/3
V=37.5π/3
V=37.5(3)/3
V=37.5 cm³
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Answer:
<NMP and <QPR
Step-by-step explanation:
Look up corresponding angle examples. these angles are corresponding.
Solve:
"<span>twice the number minus three times the reciprocal of the number is equal to 1."
3(1)
Let the number be n. Then 2n - ------- = 1
n
Mult all 3 terms by n to elim. the fractions:
2n^2 - 3 = n. Rearranging this, we get 2n^2 - n - 3 = 0.
We need to find the roots (zeros or solutions) of this quadratic equation.
Here a=2, b= -1 and c= -3. Let's find the discriminant b^2-4ac first:
disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.
That's good, because 25 is a perfect square.
-(-1) plus or minus 5 1 plus or minus 5
Then x = ------------------------------ = --------------------------
2(2) 4
x could be 6/4 = 3/2, or -5/4.
You must check both answers in the original equation. If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
The fraction is 36/42.
36 + 42 = 78
36/42 = 6/7
7 = 2n - 2
n= a number so twice a number is 2n and 7 is 2 less than twice this number.
