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3 years ago

Use a calculator to approximate acute angle A to the nearest whole degree sin A=0.6 Measure of angle A =

Mathematics

1 answer:

Bas_tet [7]3 years ago

7 0

Answer:

$m \angle A = 37^{\circ}$

Step-by-step explanation:

Let be $\sin A = 0.6$ , then we must solve for $A$ by means of the following expression:

$A = \sin^{-1} 0.6$ (1)

Since it is an inverse trigonometric function, it can be solved only by numerical methods such as application of infinite series such as Taylor series. This approach is used for current scientific calculators. According to scientific calculator we have the following result:

$A = \sin^{-1} 0.6 \approx 36.87^{\circ} \to 37^{\circ}$

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Savatey [412]

Hi!

i think We can set up a proportion to solve this

\frac{3}{12} \frac{x}{16}

Cross multiply

3 x 16 = 48

48/12 = 4

The answer is 4

Hope this helps! :)

7 0

3 years ago

Let X be a continuous random variable with density functionf(x)={1−|x|0 for −1

BlackZzzverrR [31]

Answer:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

Step-by-step explanation:

For this case we want to find the density function for $Y=X^2$

And we have the following density function for the random variable X:

$f(X) = 1- |X|,-1 \leq X \leq 1$

So we can do this replacing $Y=X^2$

$F_Y (Y \leq y) = P(X^2 \leq y)$

If we apply square root on both sides we got:

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And if we integrate we got this:

$F_Y (y) = [t+ \frac{t^2}{2}] \Big|_{-\sqrt{y}}^0+ [t -\frac{t^2}{2}] \Big|_{0}^{\sqrt{y}}$

And replacing we got:

$F_Y (y) = [0 -(-\sqrt{y} +\frac{y}{2})] + [\sqrt{y} -\frac{y}{2}]$

$F_Y (y) = 2 |\sqrt{y}| -y$

And if we want to find the density function we just need to derivate the pdf like this:

$f_Y (y) =\frac{d}{dy} = 2 \frac{1}{2 |\sqrt{y}|} -1 = \frac{1}{|\sqrt{y}|} -1,0 \leq Y\leq 1$

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4 years ago

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Nimfa-mama [501]

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horsena [70]

Answer:

The chart A is correct

Pareto Chart

Step-by-step explanation:

Given chart is missing (Attached)

Find:

- Which chart represents the correct data.

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Solution:

- Use the given values for each color and compare with the three charts A,B and C given.

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4 years ago

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MA_775_DIABLO [31]

Answer:

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Step-by-step explanation:

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