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Dvinal [7]
3 years ago
11

Given cos x=0.4762,find the degree measure of x.round your answer to the nearest tenth

Mathematics
1 answer:
alex41 [277]3 years ago
5 0

If you have a calculator, you can use the inverse cos " cos⁻¹ " key. Many upper level books write that as Arccos so as not to confuse you with a negative exponent. We do that because if you take the cosine of any angle, and then the inverse cosine of any angle, it leads you back to the original angle. Think of it as a big "UNDO" button.

To one decimal place, that result is 61.6 degrees.

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If BC = 7 and CD = 24, find AC.
vodomira [7]

Answer:

  2√42 ≈ 12.961

Step-by-step explanation:

All of the right triangles are similar, so ...

  short leg/long leg = BC/AC = AC/CD

  AC² = BC·CD = 7·24 = 168

  AC = √168 = 2√42

3 0
3 years ago
Javier's employer pays for 43% of his annual health insurance premium. javier pays the remaining balance by having it deducted f
mihalych1998 [28]
<span>Let us start with the percentage of premium paid by Javier. Since the employer pays 43%, the remaining 57% (100-43) is paid by Javier. Now let us find out how much is deducted from his paychecks during the year. In one month, $157.38 x 2 = $314 .76 is deducted by the employer. So in 12 months, the amount equal to 57% of the health premium will be $314.76 x 12 = $3777.12. If $ 3777.12 is 57% of a certain number, to find the number, multiply $3777.12 with the reciprocal of the fraction. (57/100) So the unknown number = $3777.12 * 100/57 = $6626.53 Javier's total annual health premium, therefore, is $6626.53</span>
8 0
3 years ago
Read 2 more answers
a bus is leaving the bus station at 5:45 p.m. and it takes 2 days 6 hours 30 minutes to reach a destination if the bus leaves on
Fudgin [204]

Answer:

Monday, at 12:15 AM

Step-by-step explanation:

Do this question in parts. First, add 2 days to Friday to get Sunday at 5:45 PM. Then, add 6 hours to 5:45 to get 11:45 PM. Finally, add 30 minutes to 11:45 PM. That takes you to 12:15, and since you passed midnight, Sunday is now Monday. That means the bus arrives Monday, at 12:15 AM.

8 0
3 years ago
A bicycle store costs ​$2700 per month to operate. The store pays an average of ​$65 per bike. The average selling price of each
vladimir2022 [97]

Answer:$90

Step-by-step explanation:

how much they sell for $95 minus how much they cost $65 equals $30 then divid how much rent is $2700 by the $30 equals $90

or

$95-$65=$30

$2700÷$30=90

7 0
3 years ago
Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.
allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

8 0
2 years ago
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