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kumpel [21]
2 years ago
10

A cone has a diamete of 3 inches the cone hold 12 cubic inches of water to the nearet inch what is the height of the cone

Mathematics
1 answer:
scoundrel [369]2 years ago
4 0

Answer:

5 inches

Step-by-step explanation:

The volume of a cone formula is V = (1/3)(base)(height).  Thus, 3V =(base)(ht).

We want to calculate the height of the cone.  Divide both sides of

3V =(base)(ht) by (base), obtaining   3V/(base) = ht.

Substituting 12 in^3 for V, and 2.25pi for (base), we get:

12 in^3

------------ = 5.33 in, or, to the nearest inch, 5 inches.

2.25 pi

Note:  The diameter of the cone is 3 inches.  The area of the base is pi*r^2, so we must divide d = 3 inches by 2 to obtain the radius:  1.5 in.  Then r^2 = 2.25 in^2.

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The answer is 1
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Step-by-step explanation:

4 0
3 years ago
Angle A and angle B are supplementary angles, if angle B equals 73°, what is the measurement of angle A?
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Supplementary means adds to 180
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Which property justifies the step shown in solving this equation -y-5=11
bulgar [2K]

Answer:

y-5=11

y-5+5=11+5 (Add 5 to both sides)

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I believe that y=16 cannot be simplified so y=16 should be the answer let me know if it helped.


8 0
2 years ago
A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte
saul85 [17]

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

5 0
3 years ago
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