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USPshnik [31]
3 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1

ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

9514 1404 393

Answer:

  9.2 ft³

Step-by-step explanation:

The side length of the square base is 1/4 of the perimeter, so is ...

  s = P/4 = (7.4 ft)/4 = 1.85 ft

The area of the base is the square of this, or ...

  A = s² = (1.85 ft)² = 3.4225 ft²

The volume of the pyramid is given by ...

  V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²

The volume of the pyramid is about 9.2 cubic feet.

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Tresset [83]
What’s the numbers/ list ?
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Which set of documents do you need to correct a mistake on a filed tax return?
dsp73

Answer:

Plato: C. 1040X, original return, and any supporting forms.

6 0
3 years ago
How many ways can 4 candy bars be chosen from a store that sells 30 candy bars (combination)
Morgarella [4.7K]

Answer:

Using the combination formula:

Number of combination of r object chosen from the total object i.e n is given by:

\frac{n!}{r! \cdot (n-r)!}

As per the statement:

4 candy bars be chosen from a store that sells 30 candy bars

Number of candy bars chosen from a store that sells 30 candy bars(r)= 4

and

Total candy bars(n) = 30

then substitute in the given formula we have;

\frac{30!}{4! \cdot (30-4)!}

⇒\frac{30!}{4! \cdot (26)!}

⇒\frac{30 \cdot 29 \cdot 28 \cdot 27 \cdot 26!}{1 \cdot 2 \cdot 3 \cdot 4 \cdot (26)!}

Simplify:

⇒\frac{657720}{24} = 27,405

therefore, 27,405  ways can 4 candy bars be chosen from a store that sells 30 candy bars

3 0
3 years ago
Read 2 more answers
30 POINTS!!!!!!!! JoeNah, DeKobian and Evan wrote equations to calculate the amount of money in a savings account after one year
castortr0y [4]

Answer:

See the explanation for the answer to this question

Step-by-step explanation:

Let

B ---> the balance of money saved.

M ---> the amount invested in dollars

JoeNah's Equation

M=$100

B=1.5(100)=\$150

Dekobian's Equation

M=$100

B=100+0.05(100)=\$105

Evan's Equation

M=$100

B=M(1+0.05)

Substitute

B=100(1+0.05)=\$105

Dekobian's equation and Evan's equation are correct! :)

JoeNah's equation is wrong. :(

Hope this helps you!

Have a good evening!

4 0
3 years ago
The volume of a prism is the product of its height and area of its base, V = Bh. A rectangular prism has a volume of 16y4 + 16y3
Zepler [3.9K]

Answer:

We have a prism with a volume of 16y⁴ + 16y³ + 48y² cubic units.

Its volume is equal to the area of its base times its height.

Of course, for those to be the base area and height of this prism, they would have to multiply to 16y⁴ + 16y³ + 48y² cubic units.

Let's test each of these answers to see which gives us the correct volume.

--------------------------------------------------------------------------------------------------

a base area of 4y square units and height of 4y² + 4y + 12 units

We find the volume by multiplying the base area by the height...

4y(4y² + 4y + 12)

Distribute the 4y to each term inside the parentheses.

16y³ + 16y² + 48y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 8y² square units and height of y² + 2y + 4 units

We find the volume by multiplying the base area by the height...

8y²(y² + 2y + 4)

Distribute the 8y² to each term inside the parentheses.

8y⁴ + 16y³ + 32y²

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 12y square units and height of 4y² + 4y + 36 units

We find the volume by multiplying the base area by the height...

12y(4y² + 4y + 36)

Distribute the 12y to each term inside the parentheses.

48y³ + 48y² + 432y

This is not the right volume, so these can not be dimensions of our prism.

--------------------------------------------------------------------------------------------------

a base area of 16y² square units and height of y² + y + 3 units

We find the volume by multiplying the base area by the height...

16y²(y² + y + 3)

Distribute the 16y² to each term inside the parentheses.

16y⁴ + 16y³ + 48y²

The volume fits, so these could be the base area and height of our prism.

--------------------------------------------------------------------------------------------------

D. a base area of 16y² square units and height of y² + y + 3 units

--------------------------------------------------------------------------------------------------

Step-by-step explanation:

7 0
3 years ago
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