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DENIUS [597]
3 years ago
14

Find the perimeter of A(-3,2), B(6,6), and C(7,-1).Please show work.

Mathematics
1 answer:
Furkat [3]3 years ago
3 0

AB=√{(6+3)²+(6-2)^2}=√(81+16)=√(97)

BC=√((7-6)²+(-1-6)²)=√(50)=5√2

AC=√((7+3)²+(-1-1)²)=2√(26)

Perimeter=AB+BC+AC=√97+5√2+2√(26)

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A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replaceme
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Answer:

The probability is 0.044

Step-by-step explanation:

Step-by-step explanation:

Let p be the probability that the new principal’s performance is approved.

This is obtainable from the survey and it is 8/10 = 0.8

Let q be the probability that the new principal’s performance is disproved.

That will be;

1 - q = 1- 0.8 = 0.2

To calculate the probability that 14 parents names are chosen at random and they all

approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.

That will be;

14C14 * p^14 * q^0

= 1 * 0.8^14 * 0.2^0

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8 0
3 years ago
A submarine dives at a constant speed of 10 m/s at a diving angle measured from the vertical
valina [46]

Answer:

155.3 m

Step-by-step explanation:

<u>We have:</u>

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v = is the speed of the submarine = 10 m/s

t = 1 min

The deep of the front end of the submarine at the end of a 1-minute drive is given by the following ratio:

cos (\theta) = \frac{x}{d}  

<u>Where:</u>

d: is the distance traveled by the submarine in 1 minute

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The distance, d, is:

d = v*t = 10 \frac{m}{s}* 1 min * \frac{60 s}{1 min} = 600 m

Now, the deep is:

cos (75) = \frac{x}{600}  

x = cos(75)*600 = 155.3 m

Therefore, the deep of the front end of the submarine at the end of a 1-minute drive is 155.3 m.

I hope it helps you!

3 0
3 years ago
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Answer:

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4 0
2 years ago
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3 years ago
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Answer:

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Step-by-step explanation:

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