For an angle Θ with the point (5, -12) on its terminating side, what is the value of cosine

Answers

Answer 1

Answer: We have to find the value of cosine for an angle with point ( 5, - 12 ) on its terminating side. First we have to find the hypotenuse ( Adjacent = 5, Opposite = 12 ) : c^2 = 5^2 + 12^2 = 25 + 144 = 169; c = sqrt(169 ), c = 13. Cosine for an angle = Adjacent / Hypotenuse = 5 / 13 = 0.385. Answer: The value of cosine is 5/13 or 0.385.

Answer 2

Answer:

Answer:

5/13

Step-by-step explanation:

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Consider that I have 4 sections of Stat 200. Section 001 has 40 students, section 002 has 40 students, section 003 has 30 students, and section 004 has 40, for a total of 150 students. I'd like to do a satisfaction survey with a sample size of 30, but I suspect that the section may change students' satisfaction with the course. a. Which sampling techniques could I use to ensure I get a representative sample from each section? (Check the two best answers!) A. Systematic Sampling B. Cluster Sampling C. Simple Random Sampling D. Stratified Sampling

Answers

Answer:

B. Cluster Sampling

D. Stratified Sampling

Step-by-step explanation:

B. Cluster Sampling: In cluster sampling, you divide your population (in this case, the students) into clusters (the sections) and randomly select some of those clusters for your sample. This method allows you to ensure representation from each section. You would randomly select a few sections (clusters) and survey all the students within those selected sections.

D. Stratified Sampling: In stratified sampling, you divide your population into subgroups (strata) based on certain characteristics (in this case, sections). Then, you randomly select samples from each subgroup in proportion to their size in the population. This ensures that each section is represented according to its proportion in the total population.

These methods will help you obtain a representative sample from each section while accounting for the different sizes of the sections in your Stat 200 course.

Explain the answer for -10=m+-15

Answers

Add 15 to each side to combine the like terms (-10 and -15)
5=m
Rewrite
m=5

50 POINTS !!!!
HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

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Answer: 5.50

Step-by-step explanation:

1.50 + 1.00 = 2.50 . 8.00 - 2.50 = 5.50

I need help pls help me

Answers

Answer:

12.21

step-by-step explanation:

70.81-58.6=12.21

Which of the points plotted below satisfy the equation in the box?

Check all that apply.

Answers

(-1,-4), (0,0), (2,8)

The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(3) = 27?A. A cube with a volume of 3 cubic feet has side lengths of 27 feet.
B. A cube with side lengths of 3 feet has a volume of 27 cubic feet.
C. 3 sides of the cube have a total length of 27 feet.
D. 3 of these cubes will have a total volume of 27 cubic feet.

Answers

we know that

The volume of a cube is equal to

$V(s)=s^(3)$

where

s is the length side of the cube

In this problem we have

$s= 3\ ft$

The volume is equal to

$V(3)=3^(3)=27\ ft^(3)$

therefore

the answer is the option B

A cube with side lengths of 3 feet has a volume of 27 cubic feet

I think the correct answer from the choices listed above is option B. The best interpretation of the function given as v(3) = 27 would be a cube with side lengths of 3 feet has a volume of 27 cubic feet. Hope this answers the question. Have a nice day.

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