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wlad13 [49]
3 years ago
9

I don’t get how to solve this

Mathematics
1 answer:
Annette [7]3 years ago
3 0

<EFD is also shown as e on the diagram.  It is 90 degrees.  <EFG is made up of the same two lines and is equal to 90 degrees (shown by the little box) so <EFD must be equivalent.

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A pyramid has a rectangular base of length (3x + 1)cm and width xcm.
sergey [27]

Answer:

The dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

Step-by-step explanation:

Given

Rectangle Pyramid

Base Length = 3x + 1

Base Width = x

Height = 12

Volume = 96

Required

Dimension of the base of the pyramid

Given that the volume of the pyramid is ⅓ of the base area * the height.

This is represented mathematical as

Volume = ⅓ * base area * height.

Where

Base area = width * length

Base area = (3x + 1) * x

Base area = 3x² + x.

So,

Volume becomes

Volume = ⅓ * (3x² + x) * 12.

Volume = (3x² + x) * 4

Substitute 96 for volume

96 = (3x² + x) * 4

Divide both sides by 4

96/4 = (3x² + x) * 4/4

24 = 3x² + x

Subtract 24 fr both sides

24 - 24 = 3x² + x - 24

0 = 3x² + x - 24

3x² + x - 24 = 0

Expand

3x² + 9x - 8x - 24 = 0

Factorize

3x(x + 3) - 8(x + 3) = 0

(3x - 8)(x + 3) = 0

3x - 8 = 0 or x + 3 = 0

3x = 8 or x = -3

x = 8/3 or x = -3

Recall that

Length = 3x + 1

Width = x

For any of the above expression, x can't be less than 0; so, x = -3 can't be considered.

Substitute x = 8/3

Length = 3x + 1

Length = 3(8/3) + 1

Length = 8 + 1

Length = 9

Width = x

Width = 8/3

Hence, the dimension of the base of the Rectangle Pyramid is Length = 10 and Width = 8/3

7 0
3 years ago
A bus eats 4 people in a row and there are 12 rows how would fit on 2 buses?
BARSIC [14]

Answer:

4 \times 12 \times 2 = 96

96 people in total.

BTW its seats and I think you meant "how many"

6 0
3 years ago
Please can someone help me.
Vladimir79 [104]

Answer:

4

Step-by-step explanation:

7 0
3 years ago
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What is the answer ​
Mandarinka [93]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
What is the value of s in the equation 3 r equals 10 plus 5 s, when r equals 10?
mafiozo [28]

Answer:

S=4

Step-by-step explanation:

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3 years ago
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