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2 years ago

I need help finding the missing side length with the answer in radicals in the simplest form.

Mathematics

1 answer:

AlekseyPX2 years ago

4 0

Answer:

Step-by-step explanation:

There’s nothing hard with this

You need to know special right triangles

This is a 30,60, 90 triangle

We automatically know becuase theres. Right angle (90) and a 60 degree angle

now the formula is the smallest side is (n) {I’m using N becuase theres already an X) or in this case, 6

The hypotenuse, the one directly above the 2nd biggest side, or the diagnoal side is 2n or (12). Now we know what X is in this situation which is 12. So that narrows it to 2 answers

Now the side on the bottom of the hypotenuse, the second biggest side is used in the formula N $\sqrt{3}$ . So we know what N is in the beginning, 6 so we just plug that in and well get C. Attached is a photo on q 30, 60, 90 special right triangle

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3 years ago

In the right triangle shown, A= 30° and AB = 8.

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Answer:

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Step-by-step explanation:

The picture of the question in the attached figure

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2 years ago

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111.

M is 20% less than N means

M is 100-20=80% of N

M=0.80 N

M/N = 0.8 = 4/5

Ratio: 4/5

112.

When we know a, the average, and n, how many numbers there are, we know the sum s, because a=s/n so s=na.

So the sum of our six numbers is 6(3.5)=21 so the sum of the seven numbers is 21+4.2=25.2 so the average is 25.2/7 = 3.6

Answer: 3.6

113.

|2p + 4 | < 3

At p=-2 the absolute value is zero. As p gets more negative the absolute value argument (inside part) gets negative and the absolute value gets bigger, more positive. Eventually the inside will be exactly -3, when

2p +4 = -3

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p = -7/2 = -3 1/2

So p=-4 will make the inequality false, and p=-3 is the smallest integer that makes the inequality true.

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114.

The distance from the origin is given by the Pythagorean Theorem and this one is a 3/4/5 right triangle:

$d = \sqrt{(-.3)^2 + (-.4)^2}=.5$

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3 years ago

Construct the 95% confidence interval for the population mean using the appropriate distributions. a. A random sample of 50 peop

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Answer: 95% confidence interval would be (26.01,29.39).

Step-by-step explanation:

Since we have given that

n = 50

Mean = 27.7

Standard deviation = 6.12

We need to construct 95% confidence interval for the population.

so, z = 1.96

So, it becomes,

$\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=27.7\pm 1.96\times \dfrac{6.12}{\sqrt{50}}\\\\=27.7 \pm 1.69\\\\=(27.7-1.69,27.7+1.69)\\\\=(26.01,29.39)$

Hence, 95% confidence interval would be (26.01,29.39).

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