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2 years ago

Find m∠B. Put the answer below. m∠B =

Mathematics

1 answer:

kkurt [141]2 years ago

8 0

$\huge\underline{Answer -}$

we know that

$tan\:θ \:= \frac{perpendicular}{base}\\$

thus in the question ,

$\tan(B) = \frac{perpendicular}{base} \\ \\ \tan(B) = \frac{\cancel{24} \sqrt{3} }{\cancel{24}} = \sqrt{3} \\ \\ \tan(60) = \sqrt{3}$

therefore , m∠B = 60°

hope helpful~

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Answer:

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Step-by-step explanation:

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3 years ago

A private and a public university are located in the same city. For the private university, 1038 alumni were surveyed and 647 sa

Snezhnost [94]

Answer:

The difference in the sample proportions is not statistically significant at 0.05 significance level.

Step-by-step explanation:

Significance level is missing, it is α=0.05

Let p(public) be the proportion of alumni of the public university who attended at least one class reunion

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Hypotheses are:

$H_{0}$ : p(public) = p(private)

$H_{a}$ : p(public) ≠ p(private)

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z= $\frac{p1-p2}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}}$ where

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p2 is the sample proportion of private university students who attended at least one class reunion ( $\frac{647}{1038}=0.623$ )

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n2 is the sample size of the students from private university (1038)

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4 years ago

Read 2 more answers

is vector v with an initial point of (-5,22) and a terminal point of (20,60) equal to vector u with an intintal point of (50,120

marta [7]

Answer:

Yes, vectors u and v are equal.

Step-by-step explanation:

We need to check whether vectors u and v are equal or not.

If the initial point is $(x_1,y_1)$ and terminal point is $(x_2,y_2)$ , then the vector is

$Vector=(x_2-x_1)i+(y_2-y_1)j$

Vector v with an initial point of (-5,22) and a terminal point of (20,60).

$\overrightarrow v=(20-(-5))i+(60-22)j$

$\overrightarrow v=25i+38j$ ..... (1)

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$\overrightarrow u=(75-50)i+(158-120)j$

$\overrightarrow u=25i+38j$ .... (2)

From (1) and (2) we get

$\overrightarrow u=\overrightarrow v$

Therefore, vectors u and v are equal.

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