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topjm [15]
2 years ago
7

Write expression as a sine or cosine of an angle.cos 94° cos 18° + sin 94° sin 18° ​

Mathematics
1 answer:
MArishka [77]2 years ago
6 0
<h3>Answer:  cos(76)</h3>

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

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

  • cos(94)cos(18) + sin(94)sin(18) = 0.24192
  • cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

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I’d appreciate the help!
Elis [28]

Answer:

\displaystyle 1\frac{119}{250}\:liter

\displaystyle 7,5\:sleps

\displaystyle 37,3\:sleps

Step-by-step explanation:

\displaystyle 1\frac{119}{250} = \frac{1476}{1000}

\displaystyle 1\frac{1}{13} \times 7 = 7\frac{7}{13} ≈ 7,538461538 ≈ 7,5

\displaystyle \frac{41}{1\frac{1}{10}} = 37\frac{3}{11} ≈ 37,3

I am joyous to assist you anytime.

4 0
3 years ago
Jonathan is rolling to dice and needs to roll and 11 to win the game he is playing what is the probability that Jonathan wins th
hjlf

Answer:

1 / 18

Step-by-step explanation:

In a roll of two dice :

Number of faces on a dice = 6

Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36

Total possible outcomes = 36

Required outcome = sum of 11

11 = {(5,6) ; (6, 5)}) = 2 possibilities

Probability = required outcome / Total possible outcomes

P(obtaining a sum of 11) = 2 / 36 = 1/18

5 0
2 years ago
3. Which value is not needed to construct a box plot?
victus00 [196]
The answer is d because
5 0
2 years ago
If a basketball player made 72 out of 85 free throws attempts how many could she make in 200 attempts
DedPeter [7]

Answer:

169

Step-by-step explanation:

Use a proportion:

72/85=x/200

Solve for x

(72)(200)=85x

x=(72)(200)/85

x=169.41≈ 169

She can make 169 of 200 free throws.

6 0
2 years ago
Chloe draws 8 pictures Reggie draws I more picture than Chloe. How many pictures do they draw?
Marat540 [252]
Reggie Would Draw 9 Pictures
And Together They Draw 17
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3 years ago
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