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Ostrovityanka [42]
3 years ago
13

(08.01 HC)

Mathematics
1 answer:
Sloan [31]3 years ago
4 0

Answer:

The volume of pyramid B is 8 times bigger than the volume of pyramid A

Step-by-step explanation:

First we need to find the volume of the pyramid A.

The volume of a pyramid is calculated by:

V = (1/3)*A*h

Where A is the base area and h is the height.

In our case, the base is a square, so the area is 14 * 14 = 196 in. So, the volume is:

Va = (1/3) * 196 * 6 = 392 in3

Now, to compare the volumes, we just need to divide the volume of pyramid B bt the volume of pyramid A:

Vb / Va = 3136 / 392 = 8

So the volume of pyramid B is 8 times bigger than the volume of pyramid A

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What is the inverse matrix that can be used to solve this systems of equations
Gala2k [10]

Step-by-step explanation:

The answer is OPTION C

Find the Inverse of a 3x3 Matrix.

First

Find the Determinant of A(The coefficients of e

Proceed towards finding the CO FACTOR of the 3x3 Matrix.

+. - +

A= [ 1 -1 -1 ]

[ -1 2 3 ]

[ 1 1 4 ]

The determinant of this is 1.

Find the co factor

| 2 3 | |-1 3 | |-1 2 |

| 1. 4. | |1 4 | |1. 1 |

|-1. -1 | |1 -1 | |1 -1

| 1. 4 | |1. 4| |1 1|

|-1. -1 | |1 -1 | |1. -1

|2. 3| |-1. 3| |-1 2|

After Evaluating The Determinant of each 2x 2 Matrix

You'll have

[ 5 7 -3]

[3 5 -2 ]

[-1 -2 1]

Reflect this along the diagonal( Keep 5,5 -2)

Then switching positions of other value

No need of Multiplying by the determinant because its value is 1 from calculation.

After this

Our Inverse Matrix Would be

[ 5 3 -1 ]

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SO

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5 0
3 years ago
Calcylate the volume of this regular solid
MatroZZZ [7]

Answer:

V = 270 cm³

Step-by-step explanation:

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So, plug in all your variables and multiply:

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8 0
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Zigmanuir [339]

We conclude that he drove 176 miles on the highway

<h3>how many highway miles did he drive?</h3>

Here we have the equation:

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Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.

Here we know that:

A = 8 gallons of gas.

c = 45 miles

Replacing that in the above equation, we can find the value of h.

8 =  (1/18)*45 + (1/32)*h

8 - (1/18)*45 = (1/32)*h

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We conclude that he drove 176 miles on the highway

if you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

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