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2 years ago

12. The base of a pyramid is a

Mathematics

2 answers:

NeTakaya2 years ago

7 0

35 cubic inches is right

maks197457 [2]2 years ago

4 0

Answer:

35 cubic inches

Step-by-step explanation:

The volume of a pyramid is $\frac{1}{3} bh$ , where b = base and h = height. To find the area of the base, we multiply 3 by 5 and then divided by 2.

3 × 5 = 15
15 ÷ 2 = 7.5

Next, we multiply 7.5 by 14.

7.5 × 14
105

Lastly, we divide by 3.

105 ÷ 3
35

Therefore, the answer is 35 cubic inches.

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Factor 81z^4 - 16<br> Please answer asap

Oksanka [162]

81x%5E4-16 Start with the given expression.

%289x%5E2%29%5E2-16 Rewrite 81x%5E4 as %289x%5E2%29%5E2.

%289x%5E2%29%5E2-%284%29%5E2 Rewrite 16 as %284%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=9x%5E2 and B=4.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%289x%5E2%29%5E2-%284%29%5E2=%289x%5E2%2B4%29%289x%5E2-4%29 Plug in A=9x%5E2 and B=4.

So this shows us that 81x%5E4-16 factors to %289x%5E2%2B4%29%289x%5E2-4%29.

In other words 81x%5E4-16=%289x%5E2%2B4%29%289x%5E2-4%29.

Now let's factor 9x%5E2-4 further

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

9x%5E2-4 Start with the given expression.

%283x%29%5E2-4 Rewrite 9x%5E2 as %283x%29%5E2.

%283x%29%5E2-%282%29%5E2 Rewrite 4 as %282%29%5E2.

Notice how we have a difference of squares A%5E2-B%5E2 where in this case A=3x and B=2.

So let's use the difference of squares formula A%5E2-B%5E2=%28A%2BB%29%28A-B%29 to factor the expression:

A%5E2-B%5E2=%28A%2BB%29%28A-B%29 Start with the difference of squares formula.

%283x%29%5E2-%282%29%5E2=%283x%2B2%29%283x-2%29 Plug in A=3x and B=2.

So this shows us that 9x%5E2-4 factors to %283x%2B2%29%283x-2%29.

In other words 9x%5E2-4=%283x%2B2%29%283x-2%29.

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

Answer:

So 81x%5E4-16 completely factors to %289x%5E2%2B4%29%283x%2B2%29%283x-2%29

3 0

2 years ago

Henry knows that the circumference of a circle is 18mc006-1.jpg inches. What is the area of the circle?

lesantik [10]

The complete question is:
Henry knows that the circumference of a circle is 18π inches. What is the area of the circle?

Solution:
Circumference (C) of the circle can be written as:

$C=2 \pi r \\ \\ 18 \pi =2 \pi r \\ \\ r=9$

Using this value of radius, we can find the Area(A) of the circle.

$A= \pi r^{2} \\ \\ 
A= \pi (9)^{2} \\ \\ 
A=81 \pi$

Therefore, area of the circle having a circumference of 18π inches will be 81π inches²

5 0

2 years ago

HELPP ASAP I’ll MARK YOu AS brainlister:(!!!

Lorico [155]

Answer:

Step-by-step

edp445

7 0

2 years ago

ΔCDE is reflected over the x-axis. What are the vertices of ΔC'D'E' ?

sattari [20]

Answer:

Step-by-step explanation:

When reflecting over the x-axis:

(x, y) (x, -y)

The y changes signs (+, -)

7 0

1 year ago

The value of an investment is expected to grow by 5% per year.

Elena L [17]

About 14
this is the answer

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2 years ago