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MA_775_DIABLO [31]
3 years ago
11

Hal has a steel barrel with a diameter of 6 feet that can be filled to a depth of 4.6 feet with oil. What is the volume of the b

arrel?
Use = 3.14
OA 93.696 cubic feet
OB. 154.116 cubic feet
OC. 129.996 cubic feet
OD 124.2 cubic feet
Mathematics
1 answer:
scoray [572]3 years ago
3 0

Answer:

129.996 cubic feet

Step-by-step explanation:

Assuming that the barrel is a perfect cylinder, we can use the formula to find the volume:

\pi(r)^2(h)

First, we have to find the radius, which is:

D = 2r

So the radius is 3 feet, since it is half of the diameter. Then, we plug in the values.

3.14(3)^2(4.6)

Now, we solve. Exponents are first...

3.14(9)(4.6)

Now multiply left to right.

28.26(4.6)

129.996 cubic feet

Therefore, the barrel can hold 129.996 cubic feet of oil. Hope this helps you!

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the ratio of girls to boys in a grade is 6 to 5. If there are 24 girls in the grade then how many students are there altogether?
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Answer:

39

Step-by-step explanation:

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In the figure below, if angle ZYX measures 23 degrees, then arc XY measures 45 degrees.
ollegr [7]

Answer:

  FALSE

Step-by-step explanation:

Assuming ZY is a tangent, the measure of the arc will be twice the measure of the angle. If the angle ZYX is 23°, the measure of arc YX will be 46°.

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3 years ago
Evaluate [6+3(-2)]-6
bagirrra123 [75]

Answer: -6

Multiply 3 by -2 first =-6 inside brackets

Original 6 inside brackets plus -6 from performing multiplication problem inside the brackets equals 0, so you now have 0 minus the original -6 which equals -6 overall

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3 years ago
4. Name the first five terms of the arithmetic sequence. a1 = -35, d=4​
eduard

Answer:

Step-by-step explanation:

We first have to write the equation for the sequence, then finding the first five terms will be easy. Follow the formatting:

a_n=a_1+d(n-1) and we are given enough info to fill in:

a_n=-35+4(n-1) and

a_n=-35+4n-4 and

a_n=-39+4n or in linear format:

a_n=4n-39 where n is the position of the number in the sequence. We already know the first term is -35.

The second term:

a_2=4(2)-39 so

a_2=8-39 and

a_2=-31

The third term:

a_3=4(3)-39 and

a_3=12-39 so

a_3=-27 and we could go on like this forever, but the nice thing about this is when we know the difference all we have to do is add it to each number to get to the next number.

That means that the fourth term will be -27 + 4 which is -23.

The fifth term then will be -23 + 4 which is -19. You can check yourself by filling in a 5 for n in the equation and solving:

a_5=4(5)-39 and

a_5=20-39 so

a_5=-19

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A group of friends were working on a student film that had a budget of $600. They used $198 of their budget on props. What perce
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Pretty sure it is 33% because 198/600 is 33.
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2 years ago
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