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Ksju [112]
3 years ago
7

An architect designs a diagonal path across a rectangular patio. The path is 29 meters long. The width of the patio is x meters,

and the length of the path is 5 meters more than the width.
Which equation can be used to find the dimensions of the patio?

0.5(x)(x + 5) = 29
0.5(x)(x + 5) = 841
x2 + (x + 5)2 = 29
x2 + (x + 5)2 = 841
Mathematics
1 answer:
Murljashka [212]3 years ago
7 0

The sides and diagonal of a rectangle form a right triangle. The Pythagorean theorem can be used to relate the dimensions of that triangle. The legs are x and x+5; the hypotenuse is 29. We know 29²=841, so the Pythagorean theorem tells you

... x² + (x+5)² = 841 . . . . . matches the last choice

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Mary saw a bottle of shampoo that cost $7.75 and a bottle of conditioner that cost $5.90.
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Answer:

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Step-by-step explanation:

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A cereal manufacturer is concerned that the boxes of cereal not be under filled or overfilled.
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Answer:

Step-by-step explanation:

given that

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Sample mean = 12.58

Sample std deviation = 0.25

Sample size = 31

Sample std error = \sqrt{\frac{0.25}{\sqrt{31} } } \\=0.0449

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Margin of error = 1.697*0.0449\\=0.07620

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4 0
4 years ago
The graph of f(x) = |x| is reflected across the y-axis and translated to the left 5 units. Which statement about the domain and
aksik [14]

Both the domain and range of the transformed function are the same as those of the parent function.

Option A is the correct answer.

The complete question is

Both the domain and range of the transformed function are the same as those of the parent function.

Neither the domain nor the range of the transformed function are the same as those of the parent function.

The range but not the domain of the transformed function is the same as that of the parent function.

The domain but not the range of the transformed function is the same as that of the parent function

<h3>What is a function ?</h3>

A function is a mathematical statement which defines relationship between a dependent variable and an independent variable.

It is given that

f(x) = |x|

The graph is plotted

When the graph is is reflected across the y-axis and translated to the left 5 units.

When reflected across y axis , g(x) = |-x| = |x|

When translated 5 units to the left , g(x) = |x+5|

Both the graph is plotted and attached with the answer

The domain is the any value that can be an input in the function

domain for both the function is {x≥0}

The range is the value of the function that exists at any given time {y≥0}

From the option given

Both the domain and range of the transformed function are the same as those of the parent function.

Option A is the correct answer.

To know more about Function

brainly.com/question/12431044

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What is the value of b 2 - 4ac for the following equation? 2x 2 3x = -1 0 1 17
sweet-ann [11.9K]
For 2x^2 + 3x = -1 => 2x^2 + 3x + 1 = 0 => a = 2, b = 3, c = 1
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