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Allisa [31]
3 years ago
10

The United States Air Force has 19 women for every 81 men enlisted. If a squadron has 750 members, approximately how many are wo

men?
Mathematics
1 answer:
Arisa [49]3 years ago
7 0
Answer:
Approximately the number of men is 203 and number of women is 47.
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A boat sails on a bearing of 77 degrees for 135 miles and then turns and sails 207 miles on a bearing of 192 degrees. Find the d
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Answer:

193.53 miles

Step-by-step explanation:

Please see the diagram for understanding of how the angles were derived,

Applying Alternate Angles, ABO =77 degrees

The bearing from B to C is 192=180+12 degrees

Subtracting 12 from 77, we obtain the angle at B as 65 degrees.

We want to determine the boat's distance from its starting point.

In the diagram, this is the line AC.

Applying Law of Cosines:

b^2=a^2+c^2-2acCosB\\b^2=207^2+135^2-2(207)(135)Cos65^\circ\\b^2=37453.8654\\b=\sqrt{37453.8654} \\b=193.53\: miles

The distance of the boat from its starting point is 193.53 miles (correct to 2 decimal places).

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3 years ago
A group of friends went to lunch, and their bill was $132.50. An 18% gratuity was added to the bill. What was the total amount o
Serggg [28]

Answer:

$156.35

Step-by-step explanation:

we know that

A group of friends went to lunch, and their bill was $132.50

In this problem

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so

using proportion

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Let

x ----> the total amount of the bill

\frac{\$132.50}{100\%}=\frac{x}{118\%}\\\\x=132.50(118)/100\\\\x=\$156.35

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