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3 years ago

Which unit of measurement would be appropriate for the volume of a sphere with a radius of 2 meters

1 answer:

3 0

The volume of a sphere is found with the following formula:

$V = \frac{4}{3}\pi r^3$

The radius is raised to a power of 3. Since the radius is 2 meters, this means that the volume would be measured in cubic meters.

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An ice-cream store sold 70 sundaes. The ratio of

elixir [45]

Answer:

30 strawberry sundaes.

Step-by-step explanation:

We know there is a total of 70 sundaes.

3 sundaes will be strawberry.

4 sundaes will be choclate.

When you add 3 and 4 together, you get 7. This is your total ratio.

So 3/7 of the sundaes are strawberry.

And 4/7 of sundaes are choclate.

We know there is a total of 70 sundaes.

The total ratio we figured out is 7.

If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.

This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.

3*10=30

4*10=40

So there are 30 strawberry sundaes and 40 choclate sundaes.

We need to find the strawberry sundae amount, so the answer is 30.

Hope this helps!

3 0

3 years ago

xz_007 [3.2K]

Answer:

$Center = \boxed{1}, \: \boxed{ - 2} \: ; \: Radius = \boxed{3}$

Step-by-step explanation:

${x}^{2} + {y}^{2} - 2x + 4y - 4 = 0 \\ \\ ({x}^{2} - 2x + 1 - 1) + ( {y}^{2} + 4y + 4 - 4) - 4 = 0 \\ \\ ( {x}^{2} - 2x + 1) + ( {y}^{2} + 4y + 4) - 9 = 0 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = 9 \\ \\ {(x - 1)}^{2} + {(y + 2)}^{2} = {3}^{2} \\ \\ equating \: it \: with \\ \\ {(x - h)}^{2} + {(y - k)}^{2} = {r}^{2} \\ \\ h = 1 \\ k = - 2 \\ r = 3 \\ \\ center = \boxed{1} \: \boxed{ - 2} \: \: radius = \boxed{3}$

3 0

3 years ago

A new pencil is 19 centimeters long. Levi uses it for a month. The pencil now measures 8 centimeters.

pogonyaev

Answer:

11 cm

Step-by-step explanation:

Given:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

Question asked:

The pencil is centimeters shorter now than when it was new = ?

Solution:

Length of new pencil = 19 cm

Length of pencil after using a month = 8 cm

The pencil is centimeters shorter now than when it was new = 19 cm - 8 cm

= 11 cm

Length of pencil has been used during a month = 11 cm

8 0

3 years ago

Which are the solutions of x2 = –13x – 4?

kobusy [5.1K]

x2 = -13x - 4=

2x = -13x - 4=

2x+13x=-13x-4+13x

15x=-4

x=4/15

i hope this is correct

7 0

3 years ago

Based o the sample results what percent of the opulation prefers reading a hard copy i fht e digital copy is 4, the hard copy is

Lisa [10]

Based on the sample results of the population the percentage of population that prefers reading a hard copy i fht e digital copy is 4, the hard copy is 21 and n equas 25 is 84%

Step-by-step explanation:

From the above question we know that .

Total number of population, n = 25

Number of people who prefer to read a digital copy = 4

Number of people who prefer to read a hard copy = 21

As per the question we need to find out the percentage of population who prefer to read hard copy.

So we use the formula

Percent of population preferring hard copy = Hard copy/Total*100

Percent of population that prefers hard copy = 21/25*100

Percent of population that prefers hard copy = 0.84 × 100 = 84%

So , the percent of population who prefers to read a hard copy are about 84%.

3 0

3 years ago