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Ksenya-84 [330]
3 years ago
15

The cylinder shown has a radius of 3 inches. The height is three times the radius. Find the volume of the cylinder. Round your s

olution to the nearest tenth

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Answer:

254.5 Inches Cubed

Step-by-step explanation:

Formula for Finding the Volume of a Cylinder: V=\pi r^2h

The radius is 3 inches.

r=3

The height is three times the radius.

Multiply the radius by three to get the height.

h=3*3\\h=9

The height is 9 inches.

Use the formula to find the volume.

\pi (3)^29= \pi (9)9=81\pi

The exact volume is 81\pi inches cubed.

81 * \pi ≈ 254.47

254.47 ≈ 254.5

The volume of the cylinder should be about 254.5 inches cubed.

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Ymorist [56]

A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,

MN = r

Now, the length of arc MN can be written as,

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r = 360 / (60 × 2)

r = 3 cms

Further, the radius of the circle can be written as,

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Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,

LM² + MN² = LN²

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Learn more about Triangle:

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4 0
2 years ago
Find the slope intercept <br>(9,5),(7,-11)<br>y=​
grin007 [14]

Answer:

y=8x-67

Step-by-step explanation:

So the question is what is the equation for the following two coordinate points?

Well to start off what is the formula? The formula is called the linear equation. Which is y=mx+b. What does these letters or "variables" mean or represent?! Welp, m stands for the slope, which is "Δy over Δx." Some people call say "the change of y over x." I call it the rise over run. So it is saying y over x. The b in the linear equation is the y-intercept. The y-intercept is when the line crosses the y-axis.

With that being said, let's find the slope. But how? Well with the Δy over Δx. The formula is y₂-y₁ over x₂-x₁. With the two coordinate points we can label them.

y₂=5

y₁=(-11)

x₂=9

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Now let set it up into the equation of y over x

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                  9-7         9-7          2

So we now have the slope! Which is 8! So put that into the linear equation!

y=8x+b

Next, we need to find b, the y-intercept! How do we do that well, we can figure it out by one of the coordinate points! Let use the (7, -11) point for example! Remember, x= 7 and y= (-11)

(-11) = 8(7) + b

(-11) = 56 + b

<u>-56   -56</u>

-67 =  b

We now have b, which is negative 67! So we need to put all the information we have found into the linear equation!

y=8x-67

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Answer:

The graph is attached

Step-by-step explanation:

Th table that shows the quantities of onions consumed  (in kilogram) over 5 weeks by a person is as follows: (see the attached file)

Plot the points (1,1),(2,2),(3,3),(4,4),(5,5) on the graph.

(see the attached file)

Download docx
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> docx </span>
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pptx </span>
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