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stiv31 [10]
3 years ago
14

Find all solutions of the equation. 5 sin x − 82√ = 3 sin x − 72√

Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

  • x = arcsin(√20.5 -3√2) +2kπ . . . k any integer
  • x = π - arcsin(√20.5 -3√2) +2kπ . . . k any integer

Step-by-step explanation:

Add √(82) -3sin(x) to both sides to get ...

  2sin(x) = √82 -√72

Now, divide by 2 and find the arcsine:

  sin(x) = (√82 -√72)/2

  x = arcsin((√82 -√72)/2)

Of course, the supplement of this angle is also a solution, along with all the aliases of these angles.

___

In degrees, the solutions are approximately 16.562° and 163.438° and integer multiples of 360° added to these.

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A family will travel 350 miles from their house in order to reach Dallas TX. Which inequality can be used to find all possible v
Brrunno [24]
V = d / t => t = d / V

V ≥ r ; d = 350 => t = d / V ≤ 350 / r

Then, t ≤ 350 / r, which is option C.
8 0
3 years ago
I really need help, please help me
baherus [9]

Answer:

Total amount of money Sabra spends on both clubs = 20.50 + 10m

Amount paid to join the cooking club = $8.50

Monthly payment at the cooking club = $6.25

Payment for m months at the cooking club = 6.25m

Total money paid at the cooking club = 8.50 + 6.25m

Amount paid to join the movie club = $12

Monthly payment at the movie club = $3.75

Payment for m months at the movie club = 3.75m

Total money paid at the movie club = 12 + 3.75m

Total amount of money Sabra spends on both clubs = Total money paid at the cooking club + Total money paid at the movie club

Total amount of money Sabra spends on both clubs = 8.50 + 6.25m + 12 + 3.75m

Total amount of money Sabra spends on both clubs = 20.50 + 10m

Step-by-step explanation:

I deserve to be the brainliest

4 0
2 years ago
10. In ABC, if A and B are acute angles, and sin A= 10/13<br> what is the value of cos A ?
Margarita [4]

Answer:

In triangle AB, A and B are acute angles so. AC and BC are right angles.

Sin A = 10/13

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From pythagorean theorem:

Step-by-step explanation:

5 0
3 years ago
(2x^3-3x^2-19x+30)/(x-3)
NeX [460]

Answer:

2x^3 + 3x - 10

Step-by-step explanation:

4 0
2 years ago
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A survey asks 1200 workers, "has the economy forced you to reduce the amount of vacation you plan to take this year?" Thirty-fiv
san4es73 [151]
If a variable is binomially distributed with n trials and a success probability of p, then the mean = np, variance = np(1–p) and standard deviation = square root of variance.

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5 0
3 years ago
Read 2 more answers
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