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Mekhanik [1.2K]
3 years ago
11

If Sin x = -¼, where π < x < 3π∕2 , find the value of Cos 2x

Mathematics
1 answer:
Sliva [168]3 years ago
5 0

Answer: 7/8

Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.

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How many liters of a 20% alcohol solution must be mixed with 60 liters of a 90% solution to get a 30% solution?
Alex17521 [72]
You would need to add 360L of the 20% ethanol solution. 
7 0
3 years ago
Marsha sees an airplane flying overhead. The spot on the ground that is directly under the plane is 3,600 feet from Marsha's hou
Rudiy27

The elevation of the plane is 3600 ft

Let

  • h = elevation of plane,
  • d = distance from Marsha's house to spot on ground below plane = 3600 feet and
  • Ф = angle of elevation of plane = 45°

From the triangle, we have the trigonometric ratio

tanФ = h/D

<h3>Elevation of the plane</h3>

Making h subject of the formula, we have

h = DtanФ

substituting the values of the variables into the equation, we have

h = DtanФ

h = 3600 ft × tan45°

h = 3600 ft × 1

h = 3600 ft

So, the elevation of the plane is 3600 ft

Learn more about elevation of the plane here:

brainly.com/question/26380084

7 0
2 years ago
Use Synthetic substitution to find f(3) and f(-4) for f(x)=x^4-8x-11
brilliants [131]

Answer:

46 and 277

Step-by-step explanation:

Given

f(x) = x^{4} - 8x - 11 ← substitute x = 3, x = - 4 into f(x)

f(3) = 3^{4} - 8(3) - 11 = 81 - 24 - 11 = 81 - 35 = 46

f(- 4) = (-4)^{4} - 8(- 4) - 11 = 256 + 32 - 11 = 288 - 11 = 277

4 0
3 years ago
The largest prime factor of thirty-five is _____. 7 5 9 11
vichka [17]

Answer:

7

Step-by-step explanation:

Since 9 and 11 do not factor 35, they are not the answer.

5 is a factor of 35, but not the largest. So, the answer is 7.

7 0
3 years ago
Read 2 more answers
Ratio equivalent to 1:3
Margaret [11]

2:6

3:9

4:12

These are all equivilant

4 0
3 years ago
Read 2 more answers
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