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antiseptic1488 [7]
3 years ago
15

The complement of 17% is

Mathematics
2 answers:
ikadub [295]3 years ago
6 0
38% :)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
Allushta [10]3 years ago
5 0

Answer:

73%.

Step-by-step explanation:

Let x be the complement of 17%.

We are asked to find the complement of 17%.

We know that two angles are complementary when they add up-to 90 degrees. So we can set an equation as:

17\%+x=90\%

17\%-17\%+x=90\%-17\%

17\%-17\%+x=73\%

Therefore, the complement of 17% is 73%.

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Gallons of water are leaked in one year is 94.253 gallons

<h3><u><em>Solution:</em></u></h3>

Given that leaky faucet drips 356,755 mL of water over the course of the year

There are approximately 3,785 mL in 1 gallon.

To find: gallons of water are leaked in one year

From given information,

Amount of water leaked in one year in ml = 356,755 mL

Also given in question that,

<h3>1 gallon = 3785 ml</h3>

1 \text{ ml} = \frac{1}{3785} \text{ gallons}

<em><u>Now we can convert 356,755 mL to gallons</u></em>

356,755 \text{ ml} = \frac{1}{3785} \times 356755 \text{ gallons}\\\\356,755 \text{ ml} = 94.253 \text{ gallons}

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If rain is falling at a rate of 1/4 inch per hour, how much rain would you expect after 6 hours?
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The equations of the perpendicular lines are: y = 1/2x + 6, y = 15, y = -x - 2, y = 6x + 3 and y = 1/3x - 4

<h3>How to determine the equations?</h3>

When a linear equation is represented as:

Ax + By = C

The slope (m) is:

m = -A/B

When the linear equation is represented as:

y = mx + c

The slope is m

A line perpendicular to a linear equation that has a slope of m would have a slope of -1/m

Using the above highlights, the equations of the lines are:

<u>6. y = -2x + 5; (2, 7)</u>

The slope is:

m = -2

The perpendicular slope is:

n = 1/2

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/2(x - 2) + 7

Evaluate

y = 1/2x - 1 + 7

This gives

y = 1/2x + 6

<u>7. y = -5; (11, 15)</u>

The slope is:

m = 0

The perpendicular slope is:

n = 1/0 = undefined

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 15

<u>8. Graph ; (-12, 10)</u>

The slope is:

m = (y2 - y1)/(x2 - x1)

Using the points on the graph, we have:

m = (2 - 3)/(3 - 4)

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The perpendicular slope is:

n = -1

The equation of the perpendicular line is:

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y = -1(x + 12) + 10

y = -x - 12 + 10

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y = -x - 2

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The slope is:

m = -1/6

The perpendicular slope is:

n = 6

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 6(x + 2) - 9

Evaluate

y = 6x + 12 - 9

This gives

y = 6x + 3

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The slope is:

m = -6/2

m = -3

The perpendicular slope is:

n = 1/3

The equation of the perpendicular line is:

y = n(x - x1) + y1

This gives

y = 1/3(x - 12) + 0

Evaluate

y = 1/3x - 4

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