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Hitman42 [59]
3 years ago
6

Find the measure of each interior angle​

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

The sum of the measures of the interior angles is (n-2) * 180 where n are the sides.

This is a hexagon so it has 6 sides. If we plug it into the equation, we get:

(6-2) * 180

4 * 180

720

Now that we know the sum, we divide 720/6 and get 120.

Each interior angle is 120.

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Jobisdone [24]

Answer:

62.2° (or 1.1 rad)

Step-by-step explanation:

Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.

Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.

∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°

Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.

α ≈ 90° - 27.82° = 62.18°

or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad

See above for properly rounded values.

4 0
3 years ago
An automatic filling machine in a factory fills bottles of ketchup with a mean of 17.6 oz and a standard deviation of 0.05 oz wi
marin [14]

Answer: 0.0228

Step-by-step explanation:

Given : \text{Mean}=\mu=17.6\ oz

\text{Standard deviation}=\sigma=0.05\ oz

Since , the distribution follows a Normal distribution .

The formula to calculate the z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x=17.5 oz

z=\dfrac{17.5-17.6}{0.05}=-2

The p-value = P(z

Hence, the required probability : 0.0228

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Answer:

The second bubble

Explanation

You need to make your exponents equal the other side so to do this;

Distribute the 3 in the exponent "3(x-2)"

Which is 3x-6

And since multiplying exponents adds them, you need a -6 to make the two equal.

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Wow that's messed up and was she black or white

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