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Allisa [31]
3 years ago
12

A sphere has a radius of 15 m. If the radius is divided by 5, what is the effect on the surface area? HELP PLEASE!!

Mathematics
2 answers:
Yakvenalex [24]3 years ago
8 0

i got 3 and the teacher said it was right

eduard3 years ago
8 0

Answer:

The surface area is divided by 25.

Step-by-step explanation:

The radius of a sphere is given as 15 m.

To obtain the surface area of the original sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(15)2=(4)(225)π=900π

The surface area of the original sphere is 900π m2.

To find the radius of the new sphere divide the radius of the original sphere by 5.

r=155=3

The radius of the new sphere is 3 m.

To obtain the surface area of the new sphere, substitute the radius length into the formula for the surface area of a sphere, S=4πr2.

S=4π(3)2=(4)(9)π=36π

The surface area is 36π m2.

Notice that 900π=25(36π). The surface area of the second sphere is 52=25 times less than the original surface area. The surface area of a sphere changes by the square of the factor that the radius changes.

Therefore, the surface area is divided by 25.

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almond37 [142]

Answer:

32

Step-by-step explanation:

8 0
3 years ago
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The tickets for a dance recital cost $5.00 for adults and $2.00 for children. If the total number of tickets sold was 295 and th
dem82 [27]
To solve, you would need to make two equations and substitute one in for the other. Let a = # of adults, and c = # of children

5a + 2c = 1,220
a + c = 295

a + c = 295
-c         -c
a = 295 - c

5(295 - c) + 2c = 1,220
1,475 - 5c + 2c = 1,220
1,475 - 3c = 1,220

1,475 - 3c = 1,220
-1,475           -1,475
-3c = -255

-3c/-3 = -255/-3
c = 85

a + c = 295
a + 85 = 295
     -85    -85
a = 210

210 adults attended the dance recital

Hope this helps!
6 0
3 years ago
Suppose that the dollar cost of producing x radios is c(x) = 400 + 20x - 0.2x 2. Find the marginal cost when 30 radios are produ
My name is Ann [436]
C(x) = 400 + 20x - 0.2x²

c(30) = 400 + 20(30) - 0.2(30)²

= 400 + 600 - 0.2(900)
= 1000 - 180
= 820

It costs $820 when 30 radios are produced. 

Marginal cost is how much it would cost to make one MORE of the same product so now we find how much it costs to produce 31 radios and compare the two. 

c(31) = 400 + 20(31) - 0.2(31)²

= 400 + 620 - 0.2(961)
= 1020 - 192.2
= 827.8 or ≈828.

Now we find the difference which means we subtract the two. 

828 - 820 = 8. 

Your marginal cost is $8. 

To compare we can also do 29 radios. 

c(29) = 400 + 20(29) - 0.2(29)² = 811.8 or ≈812

820 - 812 = 8. 
7 0
3 years ago
At noise pollution cellular,plan A is $30.00 per month and $5.00 for every gigabyte of data . Plan B is $50.00 per month and $2.
Romashka-Z-Leto [24]
Let x be the number of gigabyte of data used.

Plan A:
Total cost = 30 + 5x

Plan B:
Total cost = 50 + 2x

Irfan will use between 5 to 8 gb of data per month.

When x = 5
Plan A = 30 + 5(5) = $55
When x = 8,
Plan A = 30 + 5(8) = $70

When x =5,
Plan B = 50 + 2(5) = $60
When x = 8,
Plan B = 50 + 2(8) = $68

He is probably better off using Plan A. Plan A is a cheaper option up to 7gb of data. He should only swap to Plan B if he consistently use 8gb or more data per month.

8 0
3 years ago
Please please help me out with this!!!!!!!
bixtya [17]

Answer:

when x= -7

h(-7) = (-7)^2 -5

= (-1)^2*(7)^2-5

= 1*49-5

= 49-5

=44

Therefore , h(-7)=5

8 0
4 years ago
Read 2 more answers
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