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2 years ago

11. Sum of angle measures: 180°

Mathematics

1 answer:

shusha [124]2 years ago

7 0

Answer:

$given \: tha \: sum \: is = 180 \\ then \\ n + 4n + 40 = 180 \\ 5n + 40 = 180 \\ 5n = 180 - 40 \\ 5n = 140 \\ n = \frac{140}{5} = 28 \\ n = 28 \\ thank \: you$

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A private opinion poll is conducted for a politician to determine what proportion of the population favors adding more national

Ksju [112]

Answer:

n≅376

So sample size is 376.

Step-by-step explanation:

The formula we are going to use is:

$n=pq(\frac{z_{\alpha/2}}{E})^{2}$

where:

n is the sample size

p is the probability of favor

q is the probability of not in favor

E is the Margin of error

z is the distribution

α=1-0.98=0.02

α/2=0.01

From cumulative standard Normal Distribution

$z_{\alpha/2}=2.326$

p is taken 0.5 for least biased estimate, q=1-p=0.5

$n=0.5*0.5(\frac{2.326}{0.06})^{2}\\n=375.71$

n≅376

So sample size is 376

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3 years ago

Help me please How many solutions does the equation x -4 = 12 - 2x have? Explain. - ? .

MA_775_DIABLO [31]

Answer: one solution.

Step-by-step explanation:

$\dfrac{2}{3} x-4=12-2x\\\\\dfrac{2}{3} x+2x=12+4\\\\2\dfrac{2}{3} x=16\\\\\dfrac{8}{3} x=16\\\\8x=16 \cdot 3\\\\8x=48\\\\x=\dfrac{48}{8} =6$

This equation has one solution: x = 6.

8 0

3 years ago

Т.N лежи на отсечката AB, така, че AN:NB=7:4, AN=22,4dm. Дължината на отсечката AB

Lubov Fominskaja [6]

Yes um can you translate that?

7 0

2 years ago

Jack owns a small restaurant called Best Burgers. For one week, he collected sales data on the type of side order served with ea

Marta_Voda [28]

I do not know if I am correct but I would say 90 pounds of French fries.

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3 years ago

Read 2 more answers

Number 10Please just show the math and not the sentence explanations, I just want to use this problem as an example :)

Morgarella [4.7K]

Explanation

We are given the following right-angled triangle:

We are required to determine the indicated angle in the given figure.

This is achieved thus:

According to the image, we have:

$\begin{gathered} Opposite=9 \\ Adjacent=21 \end{gathered}$

Therefore, we have:

$\begin{gathered} \tan\theta=\frac{opposite}{adjacent} \\ \tan\theta=\frac{9}{21} \\ \theta=\tan^{-1}(\frac{9}{21}) \\ \theta\approx23\degree \end{gathered}$

Hence, the answer is:

$23\degree$

4 0

1 year ago