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emmasim [6.3K]
3 years ago
14

What happens to the volume of a sphere when its diameter is doubled?

Mathematics
2 answers:
pochemuha3 years ago
5 0
To determine the effect of changing the diameter of a sphere to its volume, we would need to know the formula for the volume of a sphere which is V = 4πr³/3 where r is half of the diameter. As you can see, there is a direct relationship.

r1 = d1/2
r2 = d2/2 = 2d1/2 = d1

V2/V1 = (4πd1³/3) / (4π(d1/2)³/3)
V2/V1 = 8

Therefore, the volume of the sphere would be 8 times the original volume.
____ [38]3 years ago
4 0

Answer:

The Volume is 8 times greater

Step-by-step explanation:

You might be interested in
A.45<br> B.30<br> C.90<br> D.180<br> E.40<br> F.55<br> G.130<br> H.50
brilliants [131]

Answer:

m<4=40

Step-by-step explanation:

Supplementary angles form 180 degrees

m<3 is vertical to the 50 degree angle which is equal.

so. m<3=50

m<5=90

90+50=140

180-140=40

m<4=40

4 0
3 years ago
Ox=20
nexus9112 [7]

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

<h3>How to form a linear equation</h3>

Let the time taken to play basketball be "x"

Let the time taken to play volleyball be "y"

According to the information given, Eric plays basketball and volleyball for a total of 95 minutes every day, then;

x + y = 95

If he plays basketball for 25 minutes long, then;

x = 25

The pair of linear equations that represents the statement are:

x  + y = 95
x = 25

The time it takes Eric to play volleyball every day is expressed as:

y = 95 - x

y = 95 - 25

y = 70 minutes

No, it is not possible for Eric to have spent 35 minutes playing basketball if he plays for a total of exactly 95

Learn more on linear equations here: brainly.com/question/14323743

3 0
3 years ago
1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2)
satela [25.4K]

Answer:

1st: 3*root6 + 5

2nd: 35*root2 + 115

3rd: 24*root2 - 20*root6 + 15*root3 - 18

4th: 17*root6 - 38

5th: 13*root10 - 42

Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

(a + b) * (c + d) = ac + ad + bc + bd

So simplifying each expression, we have:

1st.

(2 root 2 + root 3 ) ( 2 root 3 - root 2)

= 4*root6 - 2*2 + 2*3 - root6

= 3*root6 - 4 + 9

= 3*root6 + 5

2nd.

(root 5 + 2 root 10) (3 root 5 + root 10)

= 3 * 5 + root50 + 6*root50 + 2*10

= 15 + 5*root2 + 30*root2 + 100

= 35*root2 + 115

3rd.

(4 root 6 - 3 root 3) (2 root 3 - 5)

= 8*root18 - 20*root6 - 6*3 + 15root3

= 24*root2 - 20*root6 + 15*root3 - 18

4rd.

(6 root 3 - 5 root 2 ) (2 root 2 - root 3)

= 12*root6 - 6*3 - 10*2 + 5*root6

= 17*root6 - 18 - 20

= 17*root6 - 38

5th.

(root 10 - 3 ) ( 4 - 3 root 10)

= 4*root10 - 3*10 - 12 + 9*root10

= 13*root10 - 30 - 12

= 13*root10 - 42

8 0
3 years ago
Find the equation for the trend line through the points (0, 11) and (100, 33). Then use it to predict the number of baskets Romy
sleet_krkn [62]

Answer:

28 baskets

Step-by-step explanation:

The equation for a linear trend line is given by:

y = mx + b, where y and x are variables, m is the slope of the line and b is the y intercept (that is value of y when x is zero).

The equation of a line passing through two points (x_1,y_1)\ and\ (x_2,y_2) is:

y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

y represent the number of baskets made and x represents the time take. Given that the line passes through the points  (0, 11) and (100, 33), hence:

y-11=\frac{33-11}{100-0}(x-0)\\\\y-11=\frac{11}{50}x\\\\y=  \frac{11}{50}x+11

The number of baskets Romy would make after practicing for 80 minutes (x = 80) is:

y=\frac{11}{50}x+11\\\\y=\frac{11}{50}(80)+11  \\\\y=17.6+11\\\\y=28.6\\\\Therefore\ y\ =\ 28\ baskets

5 0
3 years ago
Crystal earns $5.50 per hour mowing lawns.how much does crystal earn if she works 3 hours and 45 minutes
Deffense [45]
Your question does not make sense unless you can estimate but the answer would be 20.625

Work:
You have to multiply 5.50 to 3.75 because 45 is 75 percent of 60
3 0
3 years ago
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