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romanna [79]
2 years ago
8

Evaluate. Write your answer in simplified, rationalized form. Do not round.

Mathematics
1 answer:
borishaifa [10]2 years ago
3 0

Answer:

  cos(45°) = (√2)/2

Step-by-step explanation:

The cosine of 45° is the x-coordinate of the point on the unit circle where the line y=x intersects it. That is, it is the positive solution to the equation ...

  x^2 +x^2 = 1

  x^2 = 1/2 = 2/4 . . . . . collect terms, divide by 2, express the fraction with a square denominator

  x = √(2/4) . . . . . . take the square root

  x = (√2)/2 . . . . . simplify

The cosine of 45° is (√2)/2.

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What is the answer. Please dont send me ‘links’. I seriously need help.
Agata [3.3K]

<u>Answer:</u>

Total Volume of composite figure = 635.2 cm³

<u>Steps:</u>

  • 1.

CV = h×3.14×(d/2)²

CV = 5×3.14(8/2)²

CV = 5×3.14(4)²

CV = 5×3.14×16

CV = 5×50.24

CV = 251.2 cm³

  • 2.

RV = h×w×l

RV = 4×8×12

RV = 4×96

RV = 384 cm³

  • 3.

TV = CV + RV

TV = 251.2 + 384

TV = 635.2 cm³

3 0
2 years ago
Ten subjects are being studied to test the effectiveness of itch relief for three types of medication: A, B, and C. Using a 10-p
yan [13]

Answer: Choice C

They should be blocked by pain resistance so the subjects are as similar as possible.

============================================================

Explanation:

The process of blocking in statistics is where we group up people in blocks, and each block is determined by a characteristic of some sort. In this case, we're grouping people up by pain resistance level. Those very resistant to pain will be in one group, while those who easily feel pain will be in another block, and so on. It might be effective to have a pain scale and sort people by that.

Blocking is done so that we eliminate unwanted variability. We are testing the effectiveness of the itching cream, so all we care about is if the itch reduces or not. We aren't worried about the levels of pain. However, it says that "Previous studies have shown the effects of treatment may vary based on a subject's pain resistance". So we group up the people by pain tolerance to help eliminate the variability of pain tolerance levels.

This is why choice C is the final answer.

-------------

Extra info:

  • Choice A is false because a person's name doesn't have anything to do with if the treatment works or not.
  • Choice B is false because we weren't given any info to indicate it being true. It may be true, but we simply don't have enough info to confirm it.
  • Choice C is false for similar reasons as choice B.
6 0
2 years ago
Read 2 more answers
Tyler’s family is using a shipping trailer that is 5 feet tall, 4 feet wide, and 12 feet long to load boxes of apples in. Each b
kogti [31]
Hello.

To get the volume 5184 in3 you can use the dimension 18in x 24in x 12in.

First, you should draw a picture of your shipping container. It is a rectangular prism that is 5 by 12 by 4.

Next, let's look at the boxes of apples that will go into the box. The volume has to be 5184 in^3. If we divide it by 12 and 12, the answer is 3. Therefore, we could make a box that is 1 foot by 1 foot by 3 feet. 

Those boxes would be stack on the base without any left over space. Now, just figure out how many would go on the next rows. They would be able to stand up and down.

Have a nice day.
3 0
3 years ago
Read 2 more answers
What is the scale factor of triangle ABC to triangle XYZ?
Alex

9514 1404 393

Answer:

  C.  6

Step-by-step explanation:

XY/AB = 30/5 = 6

Triangle ABC is scaled by a factor of 6 to make triangle XYZ.

5 0
3 years ago
Three friends want to meet at a place that is the same distance from each of their houses. They draw a map and measure the appro
murzikaleks [220]

Answer:the answer is B

Step-by-step explanation:Bisect each of the angles with vertices at their houses

3 0
3 years ago
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