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Semenov [28]
3 years ago
14

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create t

he smaller prism. When the large prism was reduced, the surface area changed by a factor of . . . .

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

16/25 (B)

The complete question related to thus found on brainly (ID: 10153234) is stated below:

The two triangular prisms shown are similar. The dimensions of the larger prism were multiplied by a scale factor of to create the smaller prism.

When the large prism was reduced, the surface area changed by a factor of

A. 64/125

B. 16/25

C. 4/5

D. 10/8

Find attached the diagram

Step-by-step explanation:

In dilation, two figures have same shape but different size.

The triangular prism was dilated to create a new prism.

The larger triangular prism is the original shape

The smaller triangular prism is the new shape

Let the scale factor = p

For larger prism: the length = breadth = height = 10unit

For smaller prism: the length = breadth = height = 8unit

Surface area of smaller triangular prism = p × surface area of larger triangular prism

p = (Surface area of smaller triangular prism)/(surface area of larger triangular prism)

In similar shapes, the ratio of their areas = square of the ratio of their corresponding sides.

Let's take the height of each shape

Ratio of their corresponding sides (height) = 8/10

p = ratio of areas = (8/10)²

p = 64/100

p = 16/25

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Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

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Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = \frac{288}{24} = 12\ units

Total units filled by pipe B in one hour = \frac{288}{36} = 8\ units

Total units filled by pipe C in one hour = \frac{288}{32} = 9\ units

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = 12\times 3 =36\ units

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = \frac{232}{29} = 8\ hours

Total time taken = 4 + 8 = <em>12 hours</em>

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Consider the following system of equations:
Snowcat [4.5K]

The correct answer is: "The y's because the coefficients are the same."

Further explanation:

we always try to eliminate the variable from the system of equations which involves lesser calculations and complexity.

Assuming that Given equations are:

Equation 1: 82x + 2y = 30

Equation 2: 70x + 2y = 24

we can see that the coefficients of x are very large and different. While the coefficients of y are same. We can only subtract the equations to eliminate y.

Hence,

The correct answer is: "The y's because the coefficients are the same."

Keywords: Linear equations, variables

Learn more about linear equations at:

  • brainly.com/question/1859222
  • brainly.com/question/1993757

#LearnwithBrainly

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Which of the g-values satisfy the following inequality?
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Answer:

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Step-by-step explanation:

Given

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Required

All possible values of g

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7 \ge 12 - g

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7 - 12\ge  - g

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(b) and (c) are correct

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