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zhuklara [117]
2 years ago
14

The perimeter of a triangle is 42 inches one side measures 18 inches the shortest side measures x inches the longest side measur

es 1 inch less than four times the length of the shortest find the length of the longest side
Mathematics
1 answer:
Oksana_A [137]2 years ago
4 0
By writing an equation you can easily solve this:

18+ X + 4X - 1 = 42
•we need the answer to 4X-1

1. put the parts that include the X parameter in one side and the integer numbers in one side :
X + 4X = 25
5X= 25
X= 5

2. 4X-1 —> 4x5-1 = 19
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Answer:

Step-by-step explanation:

When the question comes with answer choices, please share them.   In this case it sounds like there were four graphs from which to choose.

f(x) = |x^2 − x − 2| is always zero or greater, due to the absolute value function.

x^2 − x − 2 = 0 factors to (x - 2)(x + 1) = 0, so the zeros of f(x) are {-1, 2}.

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3 years ago
Read 2 more answers
A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons
hammer [34]

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

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(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

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Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x =  7200  - 120x

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C. In a similar way to part B:

y/x = 120  

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(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

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3 years ago
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3 years ago
A jogger runs 140 m due west, then changes direction for the second leg of her run. At the end of the run, she is 374 m away fro
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Answer:

The length of her second displacement = 247.12 m.

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Step-by-step explanation:

As per the question,

From the figure as drawn below,

Let the starting point be O. After running 140 m due west, she reached at point A.

∴ OA = 140 m

And At the end of the run, she is 374 m away from the starting point at an angle of 20° north of west.

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By using the cosine rule in triangle OAP

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After putting the given value, we get

cos 20= \frac{140^{2}+374^{2}-x^{2}}{2\times 140\times 374}

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Hence,the length of her second displacement = 247.12 m.

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By using the cosine rule in triangle OAP, we get

cos \alpha = \frac{OA^{2}+AP^{2}-OP^{2}}{2\times OA\times AP}

After putting the given value, we get

cos \alpha = \frac{140^{2}+247.12^{2}-374^{2}}{2\times 140\times 247.12}

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Answer:

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Step-by-step explanation:

Please find the correct question in the attached file:

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The number of learners with access to working at home on a computer:

= 0.54 \times 300 \\\\=162

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\to margin \ error = \frac{\text{upper limit - lower limit}}{2}\\

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5 0
3 years ago
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