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3 years ago

Help me with number 2 I need help fast with the right answer with showing work

Mathematics

1 answer:

Anvisha [2.4K]3 years ago

4 0

Volume of a cylinder is defined as:

v = volume

r = radius

h = height.

V = $\pi$ (r^2)h

In this problem,

v = 1,356.48 in^3

r = 6 in

h = ?

Plug our numbers into the volume formula above.

1,356.48 in^3 = $\pi$ (6^2)h

Divide both sides by $\pi$ (6^2) to isolate variable h

12.0 = h

The height of the cylinder is 12.0 inches

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As John walks 16 ft towards a chimney, the angle of elevation from his eye to the top of the chimney changes from 30° to 45°. Id

levacccp [35]

ANSWER

The height is $22ft$

EXPLANATION

Let the height of the chimney be x.

$\tan(45 \degree) = \frac{x}{y}$

$1 = \frac{x}{y}$

$x = y$

$\tan(30 \degree) = \frac{x}{16+ y}$

$\frac{ \sqrt{3} }{3} = \frac{x}{16 + y}$

Cross multiply

$\sqrt{3} (16 + y) = 3x$

$16 \sqrt{3} + y \sqrt{3} = 3x$

Put

$y = x$

into the equation;

$16 \sqrt{3} + x \sqrt{3} = 3x$

Group similar terms:

$16 \sqrt{3}= 3x - x \sqrt{3}$

$16 \sqrt{3}= (3 - \sqrt{3})x$

$\frac{16 \sqrt{3} }{3 - \sqrt{3} } = x$

$x=21.856$

The height of the chimney to the nearest feet is 22

6 0

3 years ago

I don't know how many gallons are in a quart so.. can someone help me please?

Bumek [7]

0.25 gallons are in a quart does that anwser your question

6 0

3 years ago

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Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilatera

belka [17]

Answer:

(-1,3)

Step-by-step explanation:

Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).

The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.

The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.

As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.

The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).

Hence, the vertex of point B' is (-1,3).

5 0

3 years ago

A fruit punch recipe mixes two kinds of juice. It uses 92 ounces of pineapple juice and 64 ounces of sparkling water. What is th

Nikolay [14]

The ratio of pineapple juice to sparkling water is 92:64
You can simplify it to 23:16

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3 years ago

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Help me out please asp

Doss [256]

I would say 20

I’m not so totally sure but I believe it’s that because of the ratios, CB:CE is 3:6, and then CA:CT would probably be 10:20. does that make sense?

sorry if i’m incorrect

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3 years ago