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garri49 [273]
3 years ago
13

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

Mathematics
1 answer:
spin [16.1K]3 years ago
8 0
V = 4/3  pi r^3

r is directly proportional to the diameter

and v is proportional to r^3

so 

v is proportional to d^3

for d tripled 

v  is (3)^3 = 27 times original 


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What is the height of a prism with a volume of 18/35 cubic units and a base area of 2/5 square units?
marta [7]

The formula for volume is

... V = Bh . . . . . where B is the area of the base, and h is the height

You have

... 18/35 = 2/5·h

... 18/35·5/2 = h = 9/7

The height is 9/7 units.

7 0
3 years ago
What is the distance between points a and b
nikitadnepr [17]

Answer:

6

Step-by-step explanation:

I counted

8 0
2 years ago
Read 2 more answers
A class of 28 students has 13 boys and 15 girls. What is the ratio of girls to boys in the class? 15:28 13:15 O 13:28 15:13 Prev
uranmaximum [27]

Answer:\frac{15}{13}

Step-by-step explanation:

Given

There are 28 students in a class out of which

13 are boys so the remaining 15 are girls

Ratio of girls to boys in the class=\frac{15}{13}

8 0
3 years ago
Data may be classified by one of the four levels of measurement. What is the name of the lowest level?
coldgirl [10]

Answer:

Nominal

Step-by-step explanation:

There are four levels of measurement of data listed below in increasing order:

Nominal

Ordinal

Interval

Ratio

The nominal level of measurement is the lowest level that deals with names, categories and labels. It is a qualitative expression of data e.g Colors of eyes, yes or no responses to a survey, and favorite breakfast cereal all deal with the nominal level of measurement.

Data at this level can't be ordered in a meaningful way, and it makes no sense to calculate things such as means and standard deviations.

5 0
3 years ago
A rectangular poster is 3 times as long as it is wide. A rectangular banner is 5 times a long as it is wide. Both the banner and
deff fn [24]

Answer:

The answer to your question is

a) Poster             width = 3 in

                            lenght = 9 in

b) banner

                           width = 2 in

                           lenght = 10 in

Step-by-step explanation:

a) For the poster

   width = x

   lenght = 3x

Perimeter of a rectangle = 2base + 2 height

                                         = 2(x) + 2(3x) = 24

                                         2x + 6x = 24

                                         8x = 24

                                           x = 24/8

                                           x = 3

    width = 3 in

     lenght = 3(3) = 9 in

b) For the banner

    width = y

    lenght = 5y

Perimeter of a banner = 2 base + 2 height

                                        2 (y) + 2(5y) = 24

                                        2y + 10y = 24

                                        12y = 24

                                           y = 24/12

                                           y = 2

     width = 2 in

     lenght = 5(2) = 10 in

7 0
2 years ago
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