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tatuchka [14]
3 years ago
10

What is the exact volume of a sphere that has a radius of 8.4 in.?

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0
V = 4/3 * pi * r^3

V = 4/3 * pi * 8.4^3

Simplify exponent:

V = 4/3 * pi * 592.704

Multiply:

<span>V = 790.272pi</span>
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Would the scale factor 4.2 enlarge,reduce,or preserve
Juli2301 [7.4K]

Hey there! I'm happy to help!

Let's look at what scale factors would be able to enlarge, reduce, and preserve first. We will use the point (1,1) as an example.

ENLARGE

When we talk about scale factors, both of our numbers of the ordered pair will be multiplied by that number. To make it bigger, we will multiply it by anything larger than a one, we could have a scale factor such as 2, 100, 579395. etc.!

Dilation of 2

(1,1)⇒(2,2)

REDUCE

To reduce our ordered pair, our scale factor must be a number greater than zero but less than one because it cannot switch quadrants, which is what would happen if we used negative numbers. Our reduced number must be greater than zero. We can use 1/2, 1/4, 1/100, 0.67 etc.

Dilation of 1/2

(1,1)⇒(0.5,0.5)

PRESERVE

What would we multiply an ordered pair by to make it stay the same? One of course! This is the only number that will keep it the same!

Dilation of 1

(1,1)⇒(1,1)

Now, let's think of any scale factor as X and see what rules it has to follow to be enlarging, reducing, or preserving.

ENLARGING SCALE FACTOR: X>1

REDUCING SCALE FACTOR: 0<X<1

PRESERVING SCALE FACTOR: X=1

So, where does 4.2 fall? Well, as you can see, 4.2 is greater than one, so this scale factor would make our point larger.

Therefore, 4.2 would enlarge.

I hope that this helps! Have a wonderful day!

8 0
3 years ago
PLEASE HELP ASAP 35 PTS
salantis [7]

Answer:

B


Step-by-step explanation:


4 0
3 years ago
If one letter is chosen at random from the word refuse what is the probability that the letter chosen will be an e
mrs_skeptik [129]

Answer: 1/3

Step-by-step explanation: The probability is given by the number of times the event could happen (in this case get an "e"), over the number of all the possibilities (in this case, the six letters of the word)

Therefore, probability \frac{letter_e}{all letter}=\frac{2}{6} =\frac{1}{3}

5 0
2 years ago
(4x + 2), (2x +3), and (x-2)
Lena [83]
The answer is 7x-3 if you add like terms which are 4x, 2x, and x then take 2, 3, -2 and subtract from each other
4 0
2 years ago
Read 2 more answers
Cement pillars for a porch or 2 feet wide, 2 feet thick, and 8 feet tall, there are six pillars in all what is the total volume
PolarNik [594]
(8)(2)(2)=32
32(6)=192
Final answer: 192ft^3
3 0
3 years ago
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