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myrzilka [38]
3 years ago
9

A cone has a diameter of 3 inches. The cone holds 12 cubic inches of water, to the nearest inch.What is the height of the cone?

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

The formula of a volume of a cone:

V=\dfrac{1}{3}\pi r^2H

r - radius

H - height

We have a diameter d = 3in (d = 2r → r = d:2 → r = 3in : 2 = 1.5in)

and the volume 12in³.

Substitute:

\dfrac{1}{3}\pi(1.5)^2H=12\qquad\text{multiply both sides by 3}\\\\2.25\pi H=36\qquad\text{divide both sides by 2.25}\pi\\\\H=\dfrac{36}{2.25\pi}\\\\H=\dfrac{16}{\pi}\ in\\\\H=\dfrac{16}{3.14}\to H\approx5\ in.

<h3>Answer: The height is 5 in.</h3>
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KIM [24]

Your on your own.. :/

5 0
3 years ago
Please help me with this translating trigonometry graphs question. Brainliest and Points Available.
andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ \mathbb {R}     (1)

Where the translation goes <em>rightwards</em> for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ \mathbb {R}     (2)

Where the translation goes <em>upwards</em> for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

3 0
2 years ago
X+1<br> -<br> and h(x) = 4 - X, what is the value<br> Oil CD<br> Nior<br> wla<br> olo
timofeeve [1]

Answer:

8/5

Step-by-step explanation:

(g\circ h)(-3) means g(h(-3)).

Start with the inside first: h(-3).

h(-3) means use the function called h and replace the x with -3.  The expression that is called h is 4-x.

4-x evaluated at x=-3 gives us 4-(-3)=4+3=7.

So the value for h(-3) is 7, or h(-3)=7.

Now this is what we thus far:

(g\circ h)(-3)=g(h(-3))=g(7).

g(7) means use the function called g and replace x with 7.   The expression that is called g is (x+1)/(x-2).

(x+1)/(x-2) evaluated at x=7 gives us (7+1)/(7-2)=(8)/(5)=8/5.

This is our final answer:

(g\circ h)(-3)=g(h(-3))=g(7)=\frac{8}{5}.

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Answer:

2960 ft.........is the difference between -40ft and 3000ft

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