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Monica [59]
3 years ago
12

What is the exact volume of the cylinder (radius 13 in., height 30 in.)

Mathematics
1 answer:
-BARSIC- [3]3 years ago
8 0

Answer:

The volume of a cylinder is found by multiplying the area of its top or base by its height and is defined as: V = π· r2· h

Thus: V≈15927.87 in³

Step-by-step explanation:


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The points with coordinates (x, -1), (2,2), and (4,3) lie on the same line. What is the value of x?
borishaifa [10]

Find the slope of the line passing throught the points (2, 2) and (4, 3).

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Substitute:

m=\dfrac{3-2}{4-2}=\dfrac{1}{2}

If the point (x, -1) lie on the same line, then the slope of line passing through the points (2, 2) and (x, -1) the same:

Substitute:

m=\dfrac{-1-2}{x-2}=\dfrac{-3}{x-2}

We have the equation:

\dfrac{-3}{x-2}=\dfrac{1}{2}        <em>cross multiply</em>

(1)(x-2)=(-3)(2)

x-2=-6           <em>add 2 to both sides</em>

x=-4

<h3>Answer: x = -4.</h3>
7 0
3 years ago
The measure of angle 1 is 65 degrees. What are the measures of the other seven angles? (Enter the
Anika [276]

Answer:

See solution below

Step-by-step explanation:

According to the diagram shown

m<1 = m<5 = 5=65 degrees (corresponding angle)

m<5 = m<4 - 65 degrees (alternate interior angle)

m<9 = m<8 = 65degrees (corresponding angle)

m<5 = m<8 = 65dgrees (vertically opposite angles)

m<6+m<8 = 180

m<6 + 65 = 180

m<6 = 180 - 65

m<6 = 115degrees

m<2 = m<6 = 115degrees (corresponding angles)

m<6 = m<7 = 115degrees (vertically opposite angles)

m<3 = m<7 = 115degrees(corresponding angle)

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3 0
3 years ago
What does information meanins
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8 0
3 years ago
Read 2 more answers
What is the equation of the sinusoid shown in the graph?
ololo11 [35]

Answer:

<em>Answer: C</em>

Step-by-step explanation:

<u>The Cosine Function</u>

The graph of a cosine function is a sinusoid that starts at its maximum value of 1 at x=0 and takes x=2π radians to complete a full cycle. The function of the parent cosine function is:

y=\cos x

Both the amplitude A and the angular frequency w of a cosine can be modeled by the function

y=A\cos(\omega x)

The graph of the cosine function shown in the figure has an amplitude of A=3 and it completes a full cycle at x=π/2, thus:

\frac{\pi}{2}\omega =2\pi

Thus:

\omega = 4

Therefore, the equation of the sinusoid is:

y=3\cos (4x)

Answer: C

3 0
3 years ago
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100 x 9/5 what is the answer????? PLZ HELP!!!!!!
dem82 [27]
The 9/5 put into a decimal is 1.8 so 1.8 times 100 is 180
5 0
3 years ago
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