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Bumek [7]
3 years ago
15

.

Mathematics
2 answers:
Andre45 [30]3 years ago
5 0

Answer:

The volume is 356 in^3 , which agrees with the second answer option listed.

Step-by-step explanation:

Recall that the volume of a pyramid is the product of the area of its base(B)  times the pyramid's height (h), divided by three:

V=B*\frac{h}{3}

For our case, the area of the base "B" is the area of a square of side = 8 inches. That is the area B is:

B=(8 \,in)^2=64\,in^2

Now we can include this value and the value of the pyramid's height (h=12 in) in the formula for the volume to give the answer:

V=B*\frac{h}{3}=64\,in^2\,\frac{12\,in}{3} =256\,in^3

Mademuasel [1]3 years ago
4 0
The volume is 356 inches
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Elena-2011 [213]

Answer:

x is undefined

Step-by-step explanation:

2 + 6(x - 4) = 3x - 18 + 3x

Open the bracket

2 + 6x - 24 = 3x - 18 + 3x

collect the like terms

6x -3x - 3x = -18 +24 - 2

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x is undefined

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3 years ago
Lacy opened a savings account and deposited $100. The account earns 6% interest compounded monthly if she wants to use the money
Dafna11 [192]

Answer:

Future Value= $112.72

Step-by-step explanation:

Giving the following information:

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FV= PV*(1 + i)^n

FV= 100*(1.005^24)

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5 0
3 years ago
If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?
Nana76 [90]

Answer:

Step-by-step explanation:

(r/s)(x) is the quotien of r(x) = 3x - 1 and s(x) = 2x + 1:

  r            3x - 1

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8 0
3 years ago
Select the number property that will justify the step in the following expression.
Airida [17]
Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication. 
7 0
3 years ago
Read 2 more answers
Need help asap plss.
yanalaym [24]

Answer:

EF = 20 cm

Step-by-step explanation:

Here, we want to find the length of EF

To do this, we use the principle of similar triangles

The similar triangles we are considering here will be ;

FEA and FBD

when two triangles are similar, the ratio of their corresponding sides are equal

Let us calculate DC first

we can use Pythagoras’ theorem here and it is that the square of the hypotenuse equals the sum of the square of the two other sides

Using the triangle EDC

15^2 = 12^2 + DC^2

DC^2 = 225-144

DC^2 = 81

DC = 9

So the entire length of BD is 9 + 12 = 21 cm

Thus, we have it that;

Let EF be x

so DF = 15 + x

Hence;

BD/DF = AE/EF

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21x = 12(15 + x)

21x = 180 + 12x

21x-12x = 180

9x = 180

x = 180/9

x = 20 cm

EF = 20 cm

6 0
3 years ago
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