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Tom [10]
2 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the base is 8.6 cm and the height of the pyramid is 8.1

cm. Round your answer to the nearest tenth of a cubic centimeter.
Mathematics
1 answer:
Ymorist [56]2 years ago
4 0

Answer:  12.5 CC

Step-by-step explanation:

V=1/3Bh where B is the area of the base and h is the height

The perimeter of the square base is 8.6 so each side is 2.15 and the area of the base is (2.15)^2 or 4.6225

V=1/3(4.6225)(8.1)=12.5cc

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The diameter of the base of the cone measures 8 units. The height measures 6 units. What is the volume of the cone?
Maslowich
V = \pir^2h/3

V = 3.14 x 4^2 x 6/3       (remember r is 1/2 of the diameter)
V = 3.14 x 16 x 2
V = 100.5
3 0
3 years ago
Read 2 more answers
Find the inverse of f(x)=(x−5)/(−4x−2)
uysha [10]

Answer:

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

Step-by-step explanation:

The given rational function is

f(x) =  \frac{x - 5}{ - 4x - 2}

Let

y =  \frac{x - 5}{ - 4x - 2}

Interchange x and y

x=  \frac{y- 5}{ - 4y - 2}

Cross multiply

x( - 4y - 2)= y- 5

Expand

- 4xy   - 2x= y- 5  \\ - 4xy  - y=  2x - 5 \\y( - 4x - 1)=  2x - 5

Solve for y;

y= \frac{  2x - 5}{ - 4x - 1}

or

y= \frac{  5 - 2x }{ 4x  + 1}

Therefore

{f}^{ - 1} (x)= \frac{  5 - 2x }{ 4x  + 1}

7 0
3 years ago
If f(x) = -x^3 + 2x^2 - 3, find f(2).<br><br> A) -19<br> B) -3<br> C) -1<br> D) 5
AfilCa [17]

Answer:

B

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x), that is

f(2) = - (2)³ + 2(2)² - 3 = - 8 +2(4) - 3 = - 8 + 8 - 3 = - 3

7 0
3 years ago
Wat is 5/9-1/3<br> Equal to.
Llana [10]
\frac{5}{9}-\frac{1}{3}=\\\frac{5}{9}-\frac{1}{3}*\frac{3}{3}=\\\frac{5}{9}-\frac{3}{9}=\\\frac{2}{9}
7 0
3 years ago
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A researcher uses an anonymous survey to investigate the television-viewing habits of American adolescents. Based on the set of
umka2103 [35]

Answer:

Option b) Sample                                                            

Step-by-step explanation:

We are given the following in the question:

Survey:

356 surveys on television-viewing habits of American adolescents.

Result:

Average of 3.1 hours per day.

Population and sample:

  • Population is a collection of all the possible observation of individuals or variable of interest.
  • A sample is always a part of the population.
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For the given survey, those who responded to the survey forms a a sample as it is a part of 356 surveys that is a subset of population.

The correct answer is

Option b) Sample

8 0
2 years ago
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