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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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For each graph below, state wether it represents a function.
Paul [167]

Answers:

Row 1: No, No, No

Row 2: Yes, Yes, Yes

===============================

Explanation:

Use the vertical line test. If it is at all possible to draw a single vertical line through more than one point on the relation curve, then the relation is not a function. This is because a function is only possible when any x input leads to exactly one y output.

So that's why graphs 1,2,3 are not functions, while graphs 4,5,6 are functions.

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3 years ago
Taina, Luther, and Della are tapping a balloon to each other in the air, trying to keep it from touching the ground. The distanc
OLga [1]
<span>a. m∠L=58.1m∠L=58.1, m∠T=88.5m∠T=88.5, m∠D=33.4m∠D=33.4</span>
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3 years ago
Read 2 more answers
|x - 12| = 4<br> please provide an explanation
geniusboy [140]

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

4 0
2 years ago
C. 46.97<br> D. 45.07<br> Math question don't guess Please help
alexandr402 [8]

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= 45.07 to nearest hundredth.

Its D

4 0
3 years ago
Please please please help me with this question<br>which is the correct answer​
Oksi-84 [34.3K]

Answer:

  (a)  (a² +3a -1)(a² -3a -1)

Step-by-step explanation:

The constant term of the product of the factors will be equal to the product of their constants. Since you want that product to be +1, the signs of the factor constants must be the same. That eliminates choices (c) and (d).

__

To tell which of choices (a) and (b) is correct, we can compute the squared term in their product. Let's do it in a generic way, with the constant (±1) being represented by "c".

We want the a² term in the product ...

  (a² +3a +c)(a² -3a +c)

That term will be the result of multiplying both sets of first and last terms, and adding the product of the middle terms:

  (a²·c) +(a²·c) -9a² = a²(2c-9)

So, we want the factor (2c-9) to be -11, which means c=-1, not +1.

The correct factorization of the given expression is ...

  (a² +3a -1)(a² -3a -1) . . . . matches choice A

5 0
3 years ago
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