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AVprozaik [17]
3 years ago
10

You double the radius of a sphere. How does this affect the volume?

Mathematics
1 answer:
Afina-wow [57]3 years ago
5 0
The volume of a sphere is defined as:
V=(4*pi*r^3)/3
then, if we double the radius of the sphere (r=2r):
V=(4*pi*(2r)^3)/3
V=(4*pi*(2^3*r^3))/3
V=(4*pi*r^3)/3*8

Then, the answer is that if you double the radius of the sphere, its volume is increased 8 times.
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Kite KLMN has vertices at K(1,3) L(2,4) M(3,3) N(2,0). After the kite is rotated, K' has coordinates (-3,1). Describe the rotati
gregori [183]

The coordinates of L ', M' and N ': (-4,2); (-3.3); (0.2)

<h3>Further explanation </h3>

Transformation is a change in shape or change in location from a building to another build.

A build can be changed in shape or location using transformation

There are several forms of transformation, including translation, dilation, rotation or reflection.

Rotation is a change in the position of an object because it is rotated with certain angles and centers

Generally for rotations with angles of 90 and 180:

  •  center (a, b)

90 °: (x, y) → (-y + a + b, x -a + b)

180 °: (x, y) → (-x + 2a + b, -y + 2b)

  • center (0,0)

90 °: (x, y) → (-y, x)

180 °: (x, y) → (-x, -y)

K (1,3) L (2,4) M (3,3) N (2,0). After the kite is rotated, K 'has coordinates (-3,1)

If we look at coordinates K -> K ' meets the 90 ° rotation rule: (x, y) → (-y, x) with a center of 0.0

so the coordinates of another point

 L (2,4) ---> -4,2

M (3,3) ---> -3,3

N (2.0) ----> 0.2

<h3>Learn more </h3>

Compare a dilation to the other transformations

brainly.com/question/11914738

Point H (2, 5) is reflected across the y-axis

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a dilation of quadrilateral

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3 0
4 years ago
Read 2 more answers
Round to the nearest thousands<br> 3475.6993
Andreyy89

3475.699

°°°°°°°°°°°°°°°

Am I correct?

4 0
3 years ago
AWNSER ASAP!!!!!!! whats the median for 17,25,23,200,14
Ksenya-84 [330]

Answer:23

Step-by-step explanation:

6 0
3 years ago
Write down the first five terms of the geometric sequence with the first term 1 and common ratio r=3
leva [86]
Consider, please, this option:

if a1=1 and r=3, then using a formula aₓ=a₁*rˣ:
1. a1=1;
2. a2=3;
3. a3=9;
4. a4=27;
5. a5=81
8 0
4 years ago
The admission fee at amusement park is $1.50 for children and $4 for adults on a certain day 355 ppl entered the park and the ad
antoniya [11.8K]

Answer:

180 children and 175 adults

Step-by-step explanation:

Let it be that the amount of children who visited the park that day was x, the rest was adults. It means the quantity of adults equals 355-x.

The payment from the children is 1.5*x (because each children payed 1.5 dollars, the amount of money from children is the fee from one child multiplied by the quantity of children). The money earned by the park's owners from adults are equal to the fee from one adult multiplied by the quantity  4* (355-x)= 1420 -4x

If we add the money from chilren and adults we get the summary profit of park (it is equal to 970 dollars)

1.5x+ 1420-4x= 970

1420-2.5x= 970

x=180- children

355-180=175adults

5 0
3 years ago
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