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Svetlanka [38]
2 years ago
5

It's a trigonometry question.

Mathematics
1 answer:
gtnhenbr [62]2 years ago
5 0

The length of the hypotenuse x will be equal to x=89.72 cm.

<h3>What is trigonometry?</h3>

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The base is = 54 cm

Angle just opposite the base is =37

So the angle with the base will be =180-90-37=53

So by applying the cosine formula for the right-angled triangle:-

Cos Ф=(B)/(H)

Cos 53=(54)(x)

x=(54)(Cos53)

x=889.72 cm

Hence the length of the hypotenuse x will be equal to x=89.72 cm.

To know more about trigonometry follow

brainly.com/question/24349828

#SPJ1

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George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of
Softa [21]

The amount of George's income that is subject to withholding is <u>$75,000</u>, which excludes the alimony income.

<h3>What is alimony income?</h3>

Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.

<h3>What are the incomes subject to withholding?</h3>

The incomes subject to withholding include the following:

  • Regular
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<h3>Data and Calculations:</h3>

Wages income = $50,000

Gambling winning = $20,000

Alimony income = $10,000

Dividend income = $5,000

Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)

Thus, George's income that is subject to withholding is <u>$75,000</u>, excluding the alimony income.

Learn more about withholding tax at brainly.com/question/26781826

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6 0
1 year ago
There were three quizzes for the week. The first quiz was worth twice as much as the second quiz. The third quiz was 10 points l
iren2701 [21]
X+y+z=70
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3 years ago
Question 1
arlik [135]

Answer:

30

Step-by-step explanation:

This problem can be done without the Distance Formula (which is a way to find the distance between any two points in the plane).

The attached image shows the points and segments joining them.

PQ = 5 because the points are on the same horizontal line, and you can count spaces between them (or subtract x-coordinates: 4 - (-1) = 5).

PR = 12 because the points are on the same vertical line; count spaces or subtract y-coordinates, 7 - (-5) = 12.

The triangle is a right triangle, so the Pythagorean Theorem can be used to find the length of the hypotenuse.

(\text{leg})^2+(\text{leg})^2=(\text{hypotenuse})^2

(QR)^2=5^2+12^2=25+144=169\\QR=\sqrt{169}=13

The perimeter of the triangle is 5 + 12 + 13 = 30

6 0
3 years ago
4.) Order the following decimals from greatest to least.<br> 15.9<br> 9.5<br> 1.95<br> 9.15<br> 1.59
olya-2409 [2.1K]
1.59, 1.95, 9.15, 9.5, 15.9
3 0
3 years ago
Please Help there are 3 questions.
Nina [5.8K]

Answer:

1) There are 15 in it, which means we need to find the 8th. The 8th is 6, which means the median is 6. We then need to find the other quartiles.

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2)113

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