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Nikolay [14]
3 years ago
9

If a cone is 8 feet tall and has a base circumference of 29.516 what is the volume

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

9514 1404 393

Answer:

  184.9 ft³

Step-by-step explanation:

In order to find the volume, we need to know the radius. We can find that from the circumference.

  C = 2πr

  r = C/(2π) = 29.516/(6.28319) ≈ 4.6976 . . . . feet

The volume of the cone is found using the formula ...

  V = 1/3πr²h

  V = 1/3π(4.6976 ft)²(8 ft) ≈ 58.847π ft³

  V ≈ 184.9 ft³ . . . . volume of the cone

_____

The "pi button" is used throughout. If you use 3.14 for pi, your answer may be closer to 185.0 (rounded to tenths).

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A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
4 years ago
A metal shipping container is being used to transport clothes overseas. It will have a volume of 640 cubic feet. If the length o
Lilit [14]

Answer:

C. 128ft

Step-by-step explanation:

it's C because whenever it says and you're supposed to multiply always remember that :) = (which means area ofc) you're finding the so you multiply 16x8 and the you get your answer (: ignore the 640 you just focus on the 16 and 8 ok? 16x8=128! :))

<em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em> </em><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em> </em><em /><em /><em> </em><em /><em /><em /><em /><em /><em> </em><em /><em /><em /><em /><em /><em /><em /><em /><em /><em> </em><em> </em><em>></em><em>:</em><em>(</em>

3 0
3 years ago
Andrew is riding his bike. He biked a distance of 14 miles at a rate of 7 miles per hour. Using the distance formula, d = rt, so
rusak2 [61]

The computation shows that the time taken is 120 minutes.

<h3>How to illustrate the information?</h3>

From the information, Andrew is riding his bike and he biked a distance of 14 miles at a rate of 7 miles per hour.

Therefore, time taken for 14 miles will be:

= 14/7

= 2 hours

= 2 × 60 = 120 minutes

The time taken is 120 minutes.

Learn more about computations on:

brainly.com/question/4658834

#SPJ1

3 0
2 years ago
What GCF can be factored out of the trinomial?
ipn [44]

Answer:

hahahaha bcjapfpcwkcncidj

Step-by-step explanation:

kdbcowkshxiwjs

4 0
3 years ago
Triangle FGH is formed by connecting the midpoints of the side of triangle CDE The lengths of the sides of triangle FGH are show
Vlad1618 [11]

Answer: 36

Step-by-step explanation:

By the triangle midsegment theorem, CE=16, CD=10, and ED=10.

So, the perimeter of triangle CDE is 10+10+16=<u>36</u>

5 0
2 years ago
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