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Tpy6a [65]
3 years ago
5

PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!!

Mathematics
1 answer:
Aliun [14]3 years ago
4 0

Answer:

The answer to your question is 4.5

Step-by-step explanation:

Data

hypotenuse = h = 6

angle = α = 42°

adjacent side = DE

Process

Use trigonometric functions to solve this problem

1.- The trigonometric function that relates the adjacent side and the hypotenuse is cosine

Cosα = \frac{adjacent side}{hypotenuse}

Solve for adjacent side = DE

        DE = hypotenuse x cos α

Substitution

        DE = 6 x cos 42

Simplification

         DE = 6(0.74)

Result

         DE = 4.5        

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I need the answer to this question
nekit [7.7K]

9514 1404 393

Answer:

  g(x) = (5x +26)/(x+5)

Step-by-step explanation:

To translate the function right h units and up k units, the transformation is ...

  f(x -h) +k

You want h=-4 (4 units left) and k=-1 (1 unit down). So, the translated function is ...

  f(x+4)-1=\dfrac{6(x+4)+7}{(x+4)+1}-1\\\\=\dfrac{6x+31}{x+5}-1=\dfrac{6x+31-(x+5)}{x+5}\\\\=\dfrac{5x+26}{x+5}

The translated function is ...

  g(x) = (5x +26)/(x+5)

__

The original function is in red with asymptotes shown in orange. The translated function is in purple with the asymptotes shown in blue. You can see that the function has been moved 4 left and 1 down.

6 0
3 years ago
What is the answer to <br><br> 2 1/150-1 6/150
Nat2105 [25]

Answer: -0.106

Step-by-step explanation:

4 0
4 years ago
John ran the 100-m dash with a time of 9.93 sec. If this pace could be maintained for an entire 26-mile marathon, what would his
slega [8]

You can infer from this problem that for every 100 m that John was able to run, it takes him 9.93 seconds. To get how much time is needed for 26 – mile marathon, you need to divide 26 miles by 100 meters. But first, you need to convert 26 miles to meters first.

1 mile = 1,609.34 meters

26 miles = 41,842.84 meters

41,824.84 meters / 100 meters = 418.43 x 9.93 seconds = 4,155 seconds or 69.25 minutes

4 0
3 years ago
Identify the GCF of each expression as 2 or 4.
klemol [59]
The GCF for the first one is 4
The GCF for the second one is 4
The GCF for the third one is 2
The GCF for the fourth one is 4
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8 0
4 years ago
A group of high school athletes has an average GPA of 2.7 with a standard deviation of 0.9. a)Find the percentage of athletes wh
mart [117]

Answer:

a) The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is 3.645.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 2.7, \sigma = 0.9

a)Find the percentage of athletes whose GPA more than 1.665.

This is 1 subtracted by the pvalue of Z when X = 1.665. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.665 - 2.7}{0.9}

Z = -1.15

Z = -1.15 has a pvalue of 0.1251

1 - 0.1251 = 0.8749

The percentage of athletes whose GPA more than 1.665 is 87.49%.

b) John's GPA is more than 85.31 percent of the athletes in the study. Compute his GPA.

His GPA is X when Z has a pvalue of 0.8531. So it is X when Z = 1.05.

Z = \frac{X - \mu}{\sigma}

1.05 = \frac{X - 2.7}{0.9}

X - 2.7 = 1.05*0.9

X = 3.645

John's GPA is 3.645.

8 0
3 years ago
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