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joja [24]
3 years ago
11

An average clementine is shaped like a sphere and has a diameter of 3.5 inches. What is the volume of the fruit? Use 3.14 for pi

. Round your answer to the nearest hundredth.
-20.45 cubic inches

- 21.34 cubic inches

- 22.44 cubic inches

- 23.78 cubic inches
Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

the volume is 22.44 cubic inches

mario62 [17]3 years ago
5 0
The formula for the volume of a sphere is 
We know the diameter, but we can easily convert this into the radius by dividing it by 2, since the diameter is twice as long as the radius.
3.5/2 = 1.75
Now we can find the volume.


So, the average volume of a clementine is 22.46 cubic inches
 The closest option you have is 22.44 so if you round it that should be your answer.
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sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project
alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min

So it will take them approximately 51.43 minutes to complete the project together.

8 0
3 years ago
Write the equation of the line y = 3x + 5 when dilated by a scale factor of 2 centered
Nostrana [21]

Answer:

Warm Up: Line y = 3x – 1 is transformed by a dilation with a scale factor of 2 ... Exercise 1- The line y = 3x is dilated by a scale factor of 2 and centered at the origin. ... 5. The line y=--x-2 is graphed to the right. Write the equation of the m=273.

Step-by-step explanation:

8 0
3 years ago
It's 16inches tall and the exact model is 40 feet long
OleMash [197]
Ahh... this is pretty easy!!
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Locomotive is 40 feet.
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Model is 16.
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So?
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Divide 40 by 16!!
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What's that?
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2.5. 
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So your answer choice is 2.5
.
Hope I helped!!
4 0
3 years ago
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Leno4ka [110]

Add a point at (0.-2) then go down 3 and put another point connect the dots thats it

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
You deposit $2200 Into three separate bank accounts for each pay 3% annual interest. How much interest does each account earn af
Hatshy [7]

The formula to find the amount is

A=P(1+r)^n

Here A = amount

P is the principal

r is the rate

n is the number of years

Then to find the interest we subtract principal from amount.

Interest = A - P

Here

P= 2200, r = 3% = 0.03 , n = 6 years

A = 2200 (1+0.03)^6=2626.92

Hence the interest earned = 2626.92-2200 = $426.92

Now if the total of $2200 was deposited in three banks then each account earns \frac{426.92}{3}= 142.31

Each account earns $142.31

5 0
3 years ago
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