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trasher [3.6K]
2 years ago
8

Find each measurement indicated. Round your answer to the nearest tenth.

Mathematics
1 answer:
Ksivusya [100]2 years ago
7 0

The measure of the angle B is 30 degree after applying the sin law of triangle.

<h3>What is the triangle?</h3>

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle shown in the picture:

We can apply the sin law of the triangle to find the angle B

\rm \dfrac{28}{sin91} =\dfrac{14}{sinB}

SinB = 0.499

B  = 29.99 ≈ 30 degree

Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ1

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Answer:

The sample size is n = 2

Step-by-step explanation:

From the question we are told that

   The margin of error is  E =4.266

    The standard deviation is  \sigma = 2.539

From the question we are told the confidence level is  99% , hence the level of significance is    

      \alpha = (100 - 99 ) \%

=>   \alpha = 0.01

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  2.58

Generally the sample size is mathematically represented as  

   n = [\frac{Z_{\frac{\alpha }{2} } *  \sigma }{E} ] ^2

=>  n = [\frac{2.58  *  2.539  }{4.266} ] ^2

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6 0
3 years ago
How do you solve this problem <br> 7= ln(x+5)
Gnesinka [82]
Answer:

x = 1091.63315843
<span>
Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.

e^7 = x + 5

Solving</span>:

e = 2.71828182846

Natural logarithms are logarithms to the base of the constant 'e'.

e^7 = x + 5    ( simplify e^7 )

<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.

1091.63315843 = x


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Answer:

It lies between 5 and 6

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