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love history [14]
3 years ago
13

A sawdust pile has a base diameter of 35 feet when it’s height is 30 feet, find the volume of the pile when it is at 50 feet tal

l
Mathematics
1 answer:
ladessa [460]3 years ago
7 0

Answer:

The volume of the sawdust pile is 16041.7 feet.

Step-by-step explanation:

The sawdust pile formed is in the form of a cone.

The volume of a cone is:

V=\frac{1}{3}\ \pi r^{2}\ h

The information provided is:

<em>r</em> = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet

<em>h</em> = height = 50 feet

Compute the volume of the sawdust pile as follows:

V=\frac{1}{3}\ \pi r^{2}\ h

   =\frac{1}{3}\times \frac{22}{7}\times (\frac{35}{2})^{2}\times 50\\\\=16041.6667\\\\\approx 16041.7\ \text{feet}

Thus, the volume of the sawdust pile is 16041.7 feet.

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Which of the following equations describes the line shown below? Check all<br> that apply.
kondaur [170]

Answer:

B and C

Step-by-step explanation:

Slope: 4-(-1)/-3-(-1)

Slope: 5/-2

Slope:-5/2

Point Slope form: y+1=-5/2(x+1)

Point Slope form: y-4=-5/2(x+3)

Correct answers are B and C

7 0
3 years ago
Suppose that in a certain county 37% of voters are registered as Democrats, 29% as Republicans, 7% as Green party, and the rest
Fantom [35]

Answer:

0.66

Step-by-step explanation:

GIVEN: Suppose that in a certain county 37\% of voters are registered as Democrats, 29\% as Republicans, 7\% as Green party, and the rest are considered Independents. You conduct a poll by calling registered voters in the county at random.

TO FIND: Probability that the first call will be to either a Democrat or a Republican.

SOLUTION:

Lets total population of county be 100x.

voters registered as Democrats =37\%=\frac{37}{100}\times100x

                                                     =37x

voters registered as Republicans =29\%=\frac{29}{100}\times100x

                                                       =29x

voters registered as Green party =7\%=\frac{7}{100}\times100x

                                                       =7x

Probability that first call will be to Democrats P(A)=\frac{\text{total democrats}}{\text{total voters}}

                                                                                    =\frac{37x}{100x}=0.37

Probability that first call will be to Republican P(B)=\frac{\text{total republicans}}{\text{total voters}}

                                                                                     =\frac{29x}{100x}=0.29

probability that the first call will be to either a Democrat or a Republican

=P(A)+P(B)

=0.37+0.29

=0.66

Hence the probability that the first call will be to either a Democrat or a Republican is 0.66

6 0
3 years ago
Find the quotient of <br><br> -85^2-27n+76 / -17n-19
bagirrra123 [75]
<u><em>Answer:</em></u>
5n-4

<u><em>Explanation:</em></u>
<u>The given expression is:</u>
\frac{-85n^2-27n+76}{-17n-19}

<u>1- Take the negative as a common factor from both the numerator and the denominator. This will give us:</u>
\frac{-(85n^2+27n-76)}{-(17n+19)}

<u>2- Cancel out the negative sign (common factor) from the numerator and denominator. This will give us:</u>
\frac{(85n^2+27n-76)}{(17n+19)}

<u>3- Factor the numerator. This wil give:</u>
\frac{(5n-4)(17n+19)}{(17n+19)}

<u>4- Finally, cancel out the (17n+19) which common in both numerator and denominator. This will give us the final expression:</u>
5n-4

Hope this helps :)
6 0
3 years ago
Use complete sentences to describe the relationship between the two sets A and B If A CB.
ehidna [41]

Answer:

Step-by-step explanation:

6 0
3 years ago
What is a force described by
Dima020 [189]

Answer:

a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).

Step-by-step explanation:

4 0
3 years ago
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