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TEA [102]
2 years ago
15

How many unique triangles can be formed with two side lengths of 10 centimeters and one 40° angle?

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
3 0

Answer:

  • Two unique triangles possible

Step-by-step explanation:

Given two sides of 10 cm and one 40° angle

<u>If we use these, we'll get isosceles triangle with:</u>

1. Included 40° angle.

<u>Then the other angles will be same and measure:</u>

  • (180° - 40°)/2 = 70°

2. Adjacent 40° angle. Then one of the angles must be 40° angle as opposite of 10 cm sides.

<u>The remaining angle will measure:</u>

  • 180° - 2*40° = 100°

There no more unique triangles possible, so the answer is two.

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Answer:

fge or fgc

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5 0
3 years ago
Read 2 more answers
In a binomial experiment with 45 trials, the probability of more than 25 success can be approximated by What is the probability
Pani-rosa [81]

Answer:

0.6 is the probability of success of a single trial of the experiment

Complete Problem Statement:

In a binomial experiment with 45 trials, the probability of more than 25 successes can be approximated by P(Z>\frac{(25-27)}{3.29})

What is the probability of success of a single trial of this experiment?

Options:

  • 0.07
  • 0.56
  • 0.79
  • 0.6

Step-by-step explanation:

So to solve this, we need to use the binomial distribution. When using an approximation of a binomially distributed variable through normal distribution , we get:

\mu =\frac{np}{\sigma}=\sqrt{np(1-p)}

now,

Z=\frac{X-\mu}{\sigma}

so,

by comparing with P(Z>\frac{(25-27)}{3.29}), we get:

μ=np=27

\sigma=\sqrt{np(1-p)} =3.29

put np=27

we get:

\sigma=\sqrt{27(1-p)} =3.29

take square on both sides:

10.8241=27-27p

27p=27-10.8241

p=0.6

Which is the probability of success of a single trial of the experiment

5 0
3 years ago
PLEASE HELP THIS IS DUE!!!
Rashid [163]

Answer:

432

Step-by-step explanation:

b x h (base x height)

the base is 27 yards and the height is 16.

27 x 16 = 432

5 0
3 years ago
The image represents a rectangular patio that has a length equal to 4 feet more than the width. What is the perimeter of the pat
IrinaK [193]

Answer:

  4w+8 feet

Step-by-step explanation:

The perimeter of a rectangle is the sum of the lengths of its sides. Since opposite sides are identical in length, it can be computed as double the sum of adjacent side lengths. Here, the lengths are in feet.

  P = 2(L+W)

  P = 2((w+4) +w)

  P = 4w +8

The perimeter of the patio is 4w+8 feet.

4 0
2 years ago
What does a trillion look like in numbers?
mixer [17]
100000000
8 zeroes in a trillion
4 0
3 years ago
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