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2 years ago

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There are 13,000 students attending a private college. There are 5,850evening students. What percent of all students are the eve

ning students?
Evening students are __% of all the college's students.

1 answer:

faust18 [17]2 years ago

4 0

Answer:

20%

Step-by-step explanation:

Because that is not all the school

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Question in picture<br><br>A) 16/63<br><br>B)-16/63<br><br>C) 63/16<br><br>D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago

A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.

alisha [4.7K]

To find this answer, we should subtract 2 1/2 from 3 1/4. The simplest way to do this is to turn them into improper fractions, found the least common denominator, and subtract the numerators.

3 1/4=13/4
2 1/2=5/2

The least common multiple is 4, so we should multiply the numerator and denominator of 5/2 by 2.

5/2=10/4

Now we can just subtract the numerators.

13/4-10/4=3/4

Using the math above, we can see that it saves D. 3/4 hours.

3 0

3 years ago

Read 2 more answers

NEED HELP GIVING BRAINLIEST

Pie

For this case we have by definition, that the equation of a line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cutoff point with the y axis

We need two points through which the line passes to find the slope:

$(0, -4)\\(1,0)$

We found the slope:

$m = \frac {y2-y1} {x2-x1}\\m = \frac {0 - (- 4)} {1-0} = \frac {4} {1} = 4$

So, the equation is of the form:

$y = 4x + b$

We substitute a point to find "b":

$-4 = 4 (0) + b\\-4 = b$

Finally, the equation is:

$y = 4x-4$

Answer:

Option D

4 0

3 years ago

Can someone help me

algol13

Answer:

Step-by-step explanation:

A would be your answer.

3 0

3 years ago

Read 2 more answers

Select the statement that describes this expression: 5 x 3 − (2 x 4) + 5.

Mashcka [7]

Answer:

It would be subtract the product of 2 and 4 from the product of 5 and 3, then add 5 because it’s parenthesis then you would multiply/devide then add/subtract whatever comes first

Step-by-step explanation:

5x3 - (2x4) + 5

5x3 - 8 + 5

15 - 8 + 5

7 + 5

12

(Hice los cálculos aquí en caso de que lo necesitaras)

3 0

3 years ago