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melomori [17]
3 years ago
5

If the radius of a sphere is halved, what happens to the volume of the sphere? Use your algebra skills to develop a formula for

the volume of the reduced sphere, V', in terms of V.
Mathematics
2 answers:
valkas [14]3 years ago
4 0
Since V = (4/3) * pi * R^3

If R is halved, V' will reduce by a ratio of (1/2)^3 = 1/8

So V' = (1/8)V
vlada-n [284]3 years ago
3 0

Answer:

Step-by-step explanation:

Given that the radius of a sphere originally r is halved.  We have to find the new volume of the sphere.

Volume of the sphere = \frac{4}{3} \pi r^3

When radius is halved new radius = r/2

Hence volume of the reduced sphere

=\frac{4}{3}\pi (\frac{r}{2} )^3=\frac{1}{8} \frac{4}{3}\pi r}^3\\=\frac{1}{8} V

Volume becomes 1/8 times of the original volume.

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Thе іmagе оf (-2, 5) is (1, 1).
dem82 [27]

Answer:

  (6, -2)

Step-by-step explanation:

To get to x=1 from x=-2, you must add 3 to the x-coordinate. Only one answer choice has an x-coordinate that is 3 more than that of the given point:

  3 + 3 = 6

The image point is (6, -2).

_____

<em>Check</em>

To get from a y-coordinate of 5 to an image point y-coordinate of 1, you must subtract 4. If you subtract 4 from the y-coordinate of (3, 2), you get 2-4 = -2, the y-coordinate in the chosen answer above.

8 0
3 years ago
Each week, Robbie earns $x mowing lawns and receives $15 as his allowance. To find how much he will earn in total over 3 weeks,
IRISSAK [1]
Since there are three variables and three constants you add like terms.

3(x+15) = 3x + 40
4 0
3 years ago
Read 2 more answers
a standard deck of cards missing the queen of hearts in the 2 of clubs what is the probability of pulling either an ace or a spa
Butoxors [25]
<h3>Answer:  8/25</h3>

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

Explanation:

In a standard deck, there are 52 cards.

If this deck is missing the queen of hearts and 2 of clubs, then we really have 52-2 = 50 cards in the deck.

There are 4 aces and 13 spades. Those values add to 4+13 = 17, but we need to subtract off 1 to account for the ace of spades counted twice. We have 17-1 = 16 cards that are either an ace, a spade, or both.

Or you can think of it like saying 13 spades + 1 ace of hearts + 1 ace of diamonds + 1 ace of clubs = 16 cards total.

-----------------

The event space has A = 16 cards in it, while the sample space has B = 50 cards.

The probability we're after is A/B = 16/50 = 8/25

5 0
2 years ago
Find the Diameter of the Circle with the following equation. Round to the nearest tenth.
Radda [10]

The diameter of the circle is 11.8 units

<h3>How to determine the diameter of the circle?</h3>

The circle equation is given as:

(x - 2)^2 + (y + 6)^2 = 35

A circle equation is represented as:

(x - a)^2 + (y - b)^2 = r^2

Where

Diameter = 2r

By comparing both equations, we have

r^2 = 35

Take the square root of both sides

r = 5.9

Multiply by 2

2r = 11.8

Hence, the diameter of the circle is 11.8 units

Read more about circle equation at:

brainly.com/question/10618691

#SPJ1

3 0
2 years ago
There are two pints in one quart and four quarts in one gallon. How many pints are there in 2 1/2 gallons of milk?
melomori [17]

Answer: 20 pints.

2 p = 1 q.

10 q = 2 1/2 g.

2 x 10 = 20 p.

Hope this helps.

6 0
3 years ago
Read 2 more answers
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