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Doss [256]
3 years ago
8

How does the volume of a cone change when the radius is quadrupled and the height id reduced to 1/5 of the original size?

Mathematics
1 answer:
TEA [102]3 years ago
8 0
The volume (V) of the cone is one-third of the product of its height (h) and area (A). 
                                    V = A x h = πr²h 
Now, if the radius is quadrupled and the height is reduced to 1/5, the equation will be,
                                  V2 = π(4r)²(1/5 h) = π(3.2)r²h
Thus, the second volume would be 3.2 time the first volume. 
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If sin ZA = { and cos ZA = }, what is tan ZA?
Ainat [17]

Answer:

A: 3/4

Step-by-step explanation:

sine is the length of the opposite side / length the hypotenuse side

cosine is the length of the adjacent side / length the hypotenuse side

using what's given:

  • the opposite side has a length of 3
  • the adjacent side has a length of 4
  • the hypotenuse side has a length of 5

Tangent is the ratio between the opposite side length and the adjacent side length (opp/adj). With our givens, this means tan(A) = 3/4. See image for more.

5 0
3 years ago
Problem: -7(2)+y=60, so where do I start?
aev [14]
-7(2)+y=60
-14+y=60
y=60+14
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4 0
3 years ago
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Plz help with this I don’t really get it
Greeley [361]

Answer:

D

Step-by-step explanation:

Associative Property of Multiplication is a(bc) = (ab)c

d is the only one that follows the rule

6 0
3 years ago
Which relationship is always true for the angles x, y, and z of triangle ABC?
noname [10]

Answer:

y + z = x

Step-by-step explanation:

Let's rename angle BAC to w. Now, we have four angles: w, x, y, and z. We know that w + y + z has to equal 180 degrees, because a triangle's three angels always adds up to 180 degrees. We also know that w + x equals 180 degrees, because they are on the same line. These two phrases are equal:

w + y + z = w + x

We can then cancel w on each side:

y + z = x

Hope this helps! :)

8 0
2 years ago
How much is 80% from 250.00
rodikova [14]
If you need further help on how they got the answer, this equation will take more time, but it will also help you understand these types of problems. Part÷Whole=Percent÷100
Part= X because it is what you are trying to find.
Whole=250 because it is what you are taking the percentage of.
Percent=80
Now you have:
X÷250=80÷100
Set this up in fraction form and cross multiply.
You get:
100x=250×80
250×80=20,000
100x=20,000
X=200
3 0
2 years ago
Read 2 more answers
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