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blondinia [14]
4 years ago
11

a cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and height of 3 inches. the cone has a radius

of 3 inches. what is the height of the cone?​
Mathematics
1 answer:
kaheart [24]4 years ago
3 0

Answer:

Step-by-step explanation:

Volume of a cylinder = pi*(xx)^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi*(9x^2)^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

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Natasha2012 [34]

Answer:

Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole.

Step-by-step explanation:

Using the Pythagorean Theorem, (a^2+b^2=c^2 ) we can measure the hypotenuse of a right triangle. Since the doorway is a rectangle, and a rectangle cut diagonally is a right triangle, we can use Pythagorean Theorem to measure the diagonal width of the doorway.

Plug in the values of the length and width of the door for a and b. The c value will represent the diagonal width of the doorway:

6^2+9^2=c^2

36+81=c^2

117=c^2

Since 117 is equal to the value of c multiplied by c, we must find the square root of 117 to find the value of c.

\sqrt{117} =10.8

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Yes, The pole will fit through the door because the diagonal width of the door is 10.8 feet, which is longer than the length of the pole, measuring 10 feet.

7 0
3 years ago
WILL MARK BRAINLIEST IF CORRECT !!!
True [87]

Answer: If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

Step-by-step explanation:

If the corresponding angles of two triangles are not congruent, then the triangles are not congruent.

A contrapositive statement is when you take the original statement, "flip" it around, and write the opposite of the original statement. Here's an example:

<u>Original statement:</u> The grass is wet because it was raining.

<u>Contrapositive statement:</u> It was not raining, so the grass is not wet.

Notice how we "flipped" the original sentence around, as wrote it's "opposite".

7 0
3 years ago
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viktelen [127]

It is a parallelogram!

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3 years ago
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Charra [1.4K]

Answer:

16. Right isosceles

17. D

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Convert the equation (y + 2) = –1/3(x – 4) to the point-slope form. Then fill in the blanks below to describe how to graph the e
alisha [4.7K]
The point-slope form of the equation of the line is:

(y - y1) = m (x - x1)

So, (y + 2) = - 1/3 (x - 4) in the point-slope form is:

 [y - (-2) ] = (-1/3) [ x - 4 ]

You must, then realize that the line passes through the point (4,-2) and its slope is - 1 /3.

That slope, -1 / 3, means that the function is decresing (because the slope is negative),  and it decreases one unit when x increases 3 units.

Now you can fill in the blanks in this way:

Plot the point  (4, -2), move 1 unit down, and 3 units over to find the next point on the line.
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4 years ago
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