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mylen [45]
2 years ago
8

If tan A = 4/3 and sin B = 45/53 and angles A and B are in Quadrant I, find the value of tan(A+B)

Mathematics
1 answer:
lbvjy [14]2 years ago
3 0

Answer:

First, find tan A and tan B.

cosA=35 --> sin2A=1−925=1625 --> cosA=±45

cosA=45 because A is in Quadrant I

tanA=sinAcosA=(45)(53)=43.

sinB=513 --> cos2B=1−25169=144169 --> sinB=±1213.

sinB=1213 because B is in Quadrant I

tanB=sinBcosB=(513)(1312)=512

Apply the trig identity:

tan(A−B)=tanA−tanB1−tanA.tanB

tanA−tanB=43−512=1112

(1−tanA.tanB)=1−2036=1636=49

tan(A−B)=(1112)(94)=3316

kamina op bolte

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Answer:

84 months

Step-by-step explanation:

I × 100 = P × R × T

I = interest = $245

P = principal = $1750

R = rate = 2%

T = time(in years) = ??

245 × 100 = 1750 × 2 × T

24500 = 3500T

24500/3500 = T

7 = T

To convert the time to month:

7 × 12 = 84 months

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3 years ago
A study of the career paths of hotel general managers sent questionnaires to an SRS of 280 hotels belonging to major U.S. hotel
const2013 [10]

Answer and Step-by-step explanation:

we have the following data:

Point estimate = sample mean = \ bar x = 12.39

Population standard deviation = \ sigma = 3.7

Sample size = n = 177

a) the margin of error with a 90% confidence interval

α = 1 - 90%

alpha = 1 - 0.90 = 0.10

alpha / 2 = 0.05

Z \ alpha / 2 = Z0.05 = 1,645

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 1.645 * (3.7 / \ sqrt177)

Outcome:

E = 0.46

b) margin of error with a 99% confidence interval

α = 1-99%

alpha = 1 - 0.99 = 0.01

alpha / 2 = 0.005

Z \ alpha / 2 = Z0.005 = 2,576

Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)

we replace:

E = 2,576 * (3.7 / \ sqrt177)

Outcome:

E = 0.72

c) A larger confidence interval value will increase the margin of error.

6 0
2 years ago
A bakery makes 4 dozen raisin muffins and 8 dozen blueberry muffins. A dozen is 12 muffins.
swat32

Answer:

144

Step-by-step explanation:

8x12 = 96 and 4x12= 48 and 96+48= 144

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Find the measure of the missing angles.<br> 135°<br><br> b =<br> C=
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Answer:

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Step-by-step explanation:

3 0
2 years ago
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A cylinder has a radius of 40 ft and a height of 17 ft. What is the exact surface area of the cylinder?
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we know that

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area of the base=pi*r²

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Perimeter of the base=2*pi*r

Perimeter of the base=2*pi*40

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surface area=4560*pi ft²


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the answer is the option

4560π ft2

8 0
3 years ago
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