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DedPeter [7]
3 years ago
8

The area of a rectangular wall of a barn is 108 square feet. Its length is 12 feet longer than the width. Find the length and wi

dth of the wall of the barn.
Mathematics
1 answer:
forsale [732]3 years ago
8 0
Area = Width x Length
Area = 108
Square root of 108 = 10.4

108/ 9 = 12      ...12 is not 12 larger than 9
108/ 6 = 18      ...18 is 12 larger than 6

108 = 6 x 18

Width = 6
Length = 18
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Step-by-step explanation:

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3 years ago
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How many integers between 2020 and 2400 have four distinct digits arranged in increasing order?
malfutka [58]

Answer:  E=15

There are 15 integers between 2020 and 2400 which have four distinct digits arranged in increasing order.

Step-by-step explanation:

This can be obtained by after a simple counting of number from 2020 and 2400 as follows:

The first set of integers are:

2345, 2346, 2347, 2348, and 2349.

Therefore, there are 6 integers in first set.

The second set of integers are:

2356, 2357, 2358, and 2359.

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The third set of integers are:

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Therefore, there are 3 integers in third set.

The fourth set of integers are:

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Therefore, there are 2 integers in fourth set.

The fifth and the last set of integer is:

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Therefore, there is only 1 integers in fifth set.

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Total number of integers = 6 + 4 + 3 + 2 + 1 = 15

Therefore, there are 15 integers between 2020 and 2400 which have four distinct digits arranged in increasing order.

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3 years ago
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Enlarge the triangle by scale factor of -1/3
Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

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From the graph, the coordinates of the triangle are:

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B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

(x,y) \to (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)

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B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

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C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

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See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

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2 years ago
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The answer should be 49.91
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A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What is the measure of exteri
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Yo sup??

we know that the sum of all the angles of a triangle is 180

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