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mixas84 [53]
3 years ago
6

Mr. Tully gave a math test to his class. The highest score was 100 and the lowest score was 72. What is the range of the data?

Mathematics
1 answer:
Nana76 [90]3 years ago
5 0
38 im sure!!!!!!!!!!!



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I would really appreciate help with the following, along with work shown so I can understand how these were solved.
Alja [10]

First, you have to know the double angle formula:

sin 2A  =  2 sin A cos A

cos 2A  =  cos² A − sin² A  =  2 cos² A − 1  =  1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)


Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.


For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2)  =  (1 − cos B) / sin B<span>  =  sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>


For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste. 

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

cscx=8 or cscx=-1

You may not have the csc button on your calculator. Recall that csc is 1/sin, so sinx=1/8 or sinx=-1, so x is either 7.18 or 270 degrees



6 0
3 years ago
Does someone know how to do this​
Sveta_85 [38]

Answer:

us

Step-by-step explanation:

(B)

  1. b
  2. b
  3. b
  4. b
  5. b
  6. b
  7. b
  8. b
  9. b
  10. b
  11. b
  12. bbbbbbbbbbbbbb
8 0
3 years ago
Help I'm not sure if this is the answer?<br><br> (This question is about trigonometric ratios)
dem82 [27]

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.

3 0
2 years ago
Heellppppppp pLLSsssssssssss
Nonamiya [84]
It is b I'm pretty sure
3 0
3 years ago
Read 2 more answers
In a dog show, there will be a gold and silver medal awarded.There are 6 finalists. In how many ways can the 2 medals be awarded
svp [43]

Answer:

(6)(5) =

Step-by-step explanation:

30

3 0
3 years ago
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