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Ghella [55]
3 years ago
12

What is the angle, in radians, of arcsin(1/2)

Mathematics
1 answer:
ki77a [65]3 years ago
6 0
\frac{\pi}{6}

When you are asked what is the sin of π/6, or 30 degrees, you would look at the special triangle (30-60-90) to see that sin, or opposite over hypotenuse, of π/6 is 1/2.  Arcsin, or csc, will present you with the ratio, 1/2, and ask for the angle.  It's essentially working the question backwards.
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<img src="https://tex.z-dn.net/?f=7x%20%2B%202%20%3D%202" id="TexFormula1" title="7x + 2 = 2" alt="7x + 2 = 2" align="absmiddle"
Anastaziya [24]
Easy.

7x + 2 = 2

7x = 2 - 2

7x = 0

x = 0 / 7

x = 0

Verify this by putting x = 0 ...

7 ( 0 ) + 2 = 2

0 + 2 = 2

2 = 2

Hence, "0" is the final answer.

Hope helps ........
4 0
3 years ago
PLEASE HELP PLEASE PLEASE
sp2606 [1]

Answer:

14.8

Step-by-step explanation:

By the Pythagorean theorem, ...

... x² = 7² + 13² = 218

... x = √218 ≈ 14.7648 ≈ 14.8

4 0
3 years ago
Read 2 more answers
The combined mass of a dog and a cat is 24kg. The dog is three times as heavy as the cat. Find the mass
MrRa [10]

Answer:

Cat = 6kg

Dog = 18kg

Step-by-step explanation:

Total mass combine = 24 g

dog = 3 x c

cat = c

the cat is 6kg and the dog is 18kg

8 0
3 years ago
The cake recepi calls for 3 cups of sugar to every 2 cups of flour. if i use 9 cups of sugar how many cups of flour will i need?
scZoUnD [109]

Answer: 6cups of flour

Step-by-step explanation:

3cups of sugar to 2cups of flour

9cups of sugar to xcups of flour

Let sugar rep s

Flour rep f

So we have;

3s=2f

9s= xf

Cross multiply

3s×xf=2f×9s

Xf=2f×9s/3s

Xf=6f

Therefore, 9cups of sugar will be to 6cups of flour

7 0
3 years ago
A study showed that 14 of 180 publicly traded business services companies failed a test for compliance with Sarbanes-Oxley requi
Vika [28.1K]

Answer:

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 180, \pi = \frac{14}{180} = 0.0778

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 - 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.0387

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.0778 + 1.96\sqrt{\frac{0.0778*0.9222}{180}} = 0.1169

The 95% confidence interval for the overall noncompliance proportion is (0.0387, 0.1169).

4 0
3 years ago
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