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Nataly [62]
3 years ago
5

What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Answer:

30

Step-by-step explanation:

\sin^{-1}(\theta) is going to output a number in between \frac{-\pi}{2} and \frac{\pi}{2}.

Luckily you are looking for \theta in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering \sin^{-1}(\frac{1}{2}) in your calculator.

You may also use the unit circle.  sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

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3 years ago
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maxonik [38]

Answer:

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Step-by-step explanation:

We have (4x+5)=3(x+5)

4x+5=3x+15

x=10.

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3 0
3 years ago
Read 2 more answers
Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution. How many liters of eac
lesantik [10]

Answer:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

Step-by-step explanation:

Let us represent:

The number of liters for :

Acid solution a = x

Acid solution b = y

Suppose a chemist combines a 25% acid solution and a 50% acid solution to make 40 L of 45% acid solution.

x + y = 40 ...... Equation 1

x = 40 - y

25% × x + 50% × y = 45% × 40

0.25x + 0.5y = 18...... Equation 2

We substitute, 40 - y for x in Equation 2

0.25(40 - y)+ 0.5y = 18

10 - 0.25y + 0.5y = 18

- 0.25y + 0.5y = 18 - 10

0.25y = 8

y = 8/0.25

y = 32 Liters

Solving for x

x = 40 - y

x = 40 - 32

x = 8 Liters.

Hence:

The number of liters for :

Acid solution a = x = 8 liters

Acid solution b = y = 32 liters

5 0
3 years ago
Solve for x.<br> -x/3=2<br><br> x= -6<br> x= -1<br> x = 6
LenKa [72]

Answer:

x = -6

Step-by-step explanation:

Solve for x:

-x/3 = 2

Multiply both sides of -x/3 = 2 by -3:

(-3 (-x))/3 = -3×2

-3×(-1)/3 = (-3 (-1))/3:

(-3 (-1))/3 x = -3×2

(-3)/3 = (3 (-1))/3 = -1:

--1 x = -3×2

(-1)^2 = 1:

x = -3×2

-3×2 = -6:

Answer:  x = -6

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3 years ago
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erma4kov [3.2K]

Answer:

y = 3/4x + 2

Step-by-step explanation:

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3 0
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