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gayaneshka [121]
3 years ago
5

Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)

Mathematics
2 answers:
jasenka [17]3 years ago
4 0

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).

Ludmilka [50]3 years ago
3 0

You can find the midpoint with the following formula:

\frac{x1+x2}{2}, \frac{y1+y2}{2}

Substitute the corresponding values into the formula.

\frac{(-12)+(-8)}{2}, \frac{(-7)+(-4)}{2}

\frac{-20}{2}, \frac{-11}{2}

-10, -5.5

The coordinates of the midpoint are (-10, -5.5).

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5 0
3 years ago
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John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per
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Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

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Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0
3 years ago
Max has 5 red model cars. One third of his model cars are red. How many model cars does he have?
lara [203]
15. 5 times 3 is 15. 
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3 years ago
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Find the difference: 77/8-31/4
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From the observation deck of a skyscraper, Harper measures a 45^{\circ} ∘ angle of depression to a ship in the harbor below. If
Evgesh-ka [11]

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Data;

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  • Observation deck (adjacent) = 1145 ft
  • horizontal distance (opposite) = x

<h3>Trigonometric Ratios</h3>

Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance

tan\theta = \frac{opposite}{adjacent}

Substitute the values into the equation and solve

tan45 = \frac{x}{1145}\\ x = 1145tan45\\x = 1145ft

The horizontal distance between the base of the skyscraper to the ship is 1145 feet.

Learn more on trigonometric ratio here;

brainly.com/question/4326804

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