X^2 x 8x -3x^2 +5 x 8x -5 x 3
8x^3 -3x^2 +40x -15
<h3>
Answer: 9V</h3>
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Reason:
The volume expression of a cone with radius r and height h is
Let's plug in the given height h = 12 and we'd get
This is the volume of the first cone. We're told the first cone has a volume of V, so we can say 
We can't find the actual numeric volume because we don't know what value replaces r. So we leave it as is.
The second cone has the same height (h = 12) but the radius is now 3 times in size. Instead of r, we use 3r
Replace every copy of r with 3r. Then simplify
The radius tripled which results in a volume that's 9 times bigger.
M∠3 = m∠5 = 47° (vertical angles)
m∠1 = 90°
m∠2 + ∠m3 = 90° ⇒ m∠2 = 90 - m∠3 = 90 - 47 = 43°
m∠4 + m∠5 = 180° ⇒ m∠4 = 180 - m∠5 = 180 - 47 = 133°
Answer:
m∠1 = 90°
m∠2 = 43°
m∠3 = 47°
m∠4 = 133°
Answer:
y = 4x
Step-by-step explanation:
The general formula for linear direct variation is y = kx, where k is the constant of proportionality.
If (4, 16) is on the graph of this line, then 16 = 4k, and k = 4.
Thus, the desired equation for linear direct variation is y = 4x.
So, we have 4 cups of flour and 6 cups of sugar and we need to know how many cups of sugar per cup of flour does the recipe require. Because it is requested to know how many cups of sugar per cup of flour does the recipe require, we need to divide the amount of flour and sugar by the amount of flour, and we will know what we need to know.
4 cups of flour / 4 = 1 cup flour
6 cups of sugar / 4 = 6/4 = 3/2 = 1 1/2 cups of sugar per cup of flour is the solution
