Help me !!! Why we have to divide this x=7/tan46 pls help me !!!

Mathematics

1 answer:

Drupady [299]2 years ago

7 0

Answer:

Therefore, x = 6.76 units

Step-by-step explanation:

Consider a Right angle Triangle Δ ABC at angle C = 90°

AB = Hypotenuse

AC = 7

BC = x

∠ B = 46°

To Find :

x = ?

Solution:

In Right angle Triangle Δ ABC Tangent Identity is given by

$\tan B = \frac{\textrm{side opposite to angle B}}{\textrm{side adjacent to angle B}}$

Substituting the given values in it we get

$\tan 46 = \frac{AC}{BC}\\ \\\tan 46 =\frac{7}{x} \\\\\therefore x =\frac{7}{\tan 46}\\\\\therefore x = \frac{7}{1.035}\\ \\\therefore x =6.759\\\\\therefore x =6.76\ units$

Therefore, x = 6.76 units

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The dwarves of the Grey Mountains wish to conduct a survey of their pick-axes in order to construct a 99% confidence interval ab

Dmitry_Shevchenko [17]

Answer:

The minimum sample size needed is 125.

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.

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In which

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

The margin of error is:

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For this problem, we have that:

$\pi = 0.25$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

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This minimum sample size is n.

n is found when $M = 0.1$