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Mariulka [41]
3 years ago
9

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.

Mathematics
2 answers:
torisob [31]3 years ago
4 0

Answer:

The answer to your question is ST = 7.2

Step-by-step explanation:

Data

angle = 56°

hypotenuse = ST = ?

adjacent side = TU = 4

Process

Use trigonometric functions to solve this problem. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

                 cos α = \frac{adjacent side}{hypotenuse}

Solve for hypotenuse

                 hypotenuse = \frac{adjacent side}{cos \alpha }

Substitution

                 hypotenuse = \frac{4}{cos 56}

Simplification and result

                 hypotenuse = 7.15

dangina [55]3 years ago
3 0

Answer:

Step-by-step explanation:

Triangle STU is a right angle triangle.

From the given right angle triangle

ST represents the hypotenuse of the right angle triangle.

With ∠T as the reference angle,

TU represents the adjacent side of the right angle triangle.

SU represents the opposite side of the right angle triangle.

To determine ST, we would apply the Cosine trigonometric ratio

Cos θ = adjacent side/hypotenuse. Therefore,

Cos 56 = 4/ST

0.5592 = 4/ST

ST = 4/0.5592

ST = 7.2 to the nearest tenth

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Yakvenalex [24]

Answer:

  AH = 1 or 4

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Step-by-step explanation:

An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...

  AH/BH = BH/CH

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The problem statement tells us AH + CH = AC = 5, so we can write

  AH·(5 -AH) = BH²

  AH·(5 -AH) = 2² = 4

This gives us the quadratic ...

  AH² -5AH +4 = 0 . . . . in standard form

  (AH -4)(AH -1) = 0 . . . . factored

This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.

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If a cubic foot of stone weighs 150 lb and a cubic foot of iron weighs 480 lb, what fraction of the second weight is the first o
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saw5 [17]
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Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $10,
Andreyy89

Answer:

1) the planning value for the population standard deviation is 10,000

2)

a) Margin of error E = 500, n = 1536.64 ≈ 1537

b) Margin of error E = 200, n = 9604

c) Margin of error E = 100, n = 38416

3)

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

Step-by-step explanation:

Given the data in the question;

1) Planning Value for the population standard deviation will be;

⇒ ( 50,000 - 10,000 ) / 4

= 40,000 / 4

σ = 10,000

Hence, the planning value for the population standard deviation is 10,000

2) how large a sample should be taken if the desired margin of error is;

we know that, n = [ (z_{\alpha /2 × σ ) / E ]²

given that confidence level = 95%, so z_{\alpha /2  = 1.96

Now,

a) Margin of error E = 500

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 500 ]²

n = [ 19600 / 500 ]²

n = 1536.64 ≈ 1537

b) Margin of error E = 200

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 200 ]²

n = [ 19600 / 200 ]²

n = 9604

c)  Margin of error E = 100

n = [ (z_{\alpha /2 × σ ) / E ]²

n = [ ( 1.96 × 10000 ) / 100 ]²

n = [ 19600 / 100 ]²

n = 38416

3) Would you recommend trying to obtain the $100 margin of error?

As we can see, sample size corresponding to margin of error of $100 is too large and may not be feasible.

Hence, I will not recommend trying to obtain the $100 margin of error in the present case.

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