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3 years ago

In the following triangle theta=60.Find the values of the angles of the angles B and B'

Mathematics

1 answer:

REY [17]3 years ago

7 0

Answer:

∠B` = 109.73°, ∠B = 70.27°

Step-by-step explanation:

∠B + ∠B` = 180°

The Sine Law:

10 / sin B` = 9.2 / sin 60°

10 / sin B` = 9.2 / √3/2

sin B` = 0.94133

B` = sin^(-1) 0.94133

∠B` = 109.73°, ∠B = 70.27°

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Answer:

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2 years ago

Can someone help me with this problem

user100 [1]

Answer:

About 110.6

Step-by-step explanation:

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$\sin 19= \dfrac{36}{x} \\\\x=\dfrac{36}{\sin 19}\approx 110.6$

Hope this helps!

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3 years ago

A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat

Marizza181 [45]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.04$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume that a prior estimation for p would be $\hat p =0.5$ since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25$

And rounded up we have that n=421

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3 years ago

Find the output of the function y = x - 16 if the input is -28.<br> Help please

Serhud [2]

Answer:

-44

Step-by-step explanation:

If the input is -28, that means x = -28, so we plug -28 in for x and solve for y, which is the output:

y = x - 16

y = -28 - 16 = -44

The answer is thus -44.

5 0

3 years ago