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Soloha48 [4]
2 years ago
7

Find the area of the sector. The central angle is given in radians. Round your answer

Mathematics
1 answer:
Ivan2 years ago
4 0

Answer:

method 2 use the radians sector area formula

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In triangleABC, angle B= 90 degrees, cos(C)=15/17 and AB = 16 what is the measure of Angle A, Angle C and angle AC
Sergeeva-Olga [200]

Answer:

m∠C=28°, m∠A=62°, AC=34.1 units

Step-by-step explanation:

Given In ΔABC, m∠B = 90°, , and AB = 16 units. we have to find m∠A, m∠C, and AC.

As,  cos(C)={15}/{17}

⇒ angle C=cos^{-1}(\frac{15}{17})=28.07^{\circ}\sim28^{\circ}

By angle sum property of triangle,

m∠A+m∠B+m∠C=180°

⇒ m∠A+90°+28°=180°

⇒ m∠A=62°

Now, we have to find the length of AC

sin 28^{\circ}=\frac{AB}{AC}

⇒ AC=\frac{16}{sin 28^{\circ}}=34.1units

The length of AC is 34.1 units

3 0
3 years ago
The chart below summarizes Ralph's annual expenses for the upcoming year. Based on the information in the graph, approximately w
kenny6666 [7]

Answer:

The Federal taxes of total budget is 30%

C is correct.

Step-by-step explanation:

The chart below summarizes Ralph's annual expenses for the upcoming year.

We need to find the percentage for federal taxes.

First we find total annual budget from chart. We will add all the taxes.

Total annual budget = Federal taxes + State tax + Housing +  Food + Medical +  

                                     Transportation + Recreation

Total Annual Budget = 18380 + 3448 + 15000 + 4880 + 6652 + 4332 + 3500 +

                                       3260 + 1750

                                  =  61202

Total Annual Budget = $61,202

           Federal Taxes =  $18,380

Now, we will find the percentage of federal taxes.

            % of federal taxes =\dfrac{18380}{61202}\times 100

                                           =30.03\approx 30\%

Hence, The Federal taxes of total budget is 30%

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Step-by-step explanation:

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He earned 110287.3536 dollars

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5pm to 5 am how many hours
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12 hours

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