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3 years ago

10

One angle of a triangle has a measure of 3 times as large as the smallest. The measurement of the 3rd angle is 40 degrees more t

han that of the smallest..what is the measurement of the largest angle?

1 answer:

MrMuchimi3 years ago

3 0

The largest of the three angles is 84°.

Hope this helps! :)

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Step-by-step explanation:

6x+2y=12

2y=6x-12

y=6x/2- 12/2

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2 years ago

Need help with school

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The film starts at 6.45 pm The film last 102 minutes what time dose the film finish

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1 year ago

If the point (x,square root 3/2) is on the unit circle, what. is x?

galina1969 [7]

Answer:

$x=\pm\frac{1}{2}$

Step-by-step explanation:

On a unit circle, $(x,y)=(\cos\theta,\sin\theta)$ , so $\sin\theta=\frac{\sqrt{3}}{2}$ in this case. If you look at the attached circle, the only time that the y-coordinate is $\frac{\sqrt{3}}{2}$ is when $x=-\frac{1}{2}$ and $x=\frac{1}{2}$ , which correspond to angles of $\theta=\frac{2\pi}{3}$ and $\theta=\frac{\pi}{3}$ respectively

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2 years ago

The time needed to complete a final examination in a particular college course is normallydistributed with a mean of 80 minutes

Artist 52 [7]

Answer:

a) 0.023

b) 0.286

c) 10 students will be unable to complete the exam inthe allotted time.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 80 minutes

Standard Deviation, σ = 10 minutes

We are given that the distribution of time to complete an exam is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(completing the exam in one hour or less)

P(x < 60)

$P( x < 60) = P( z < \displaystyle\frac{60 - 80}{10}) = P(z < -2)$

Calculation the value from standard normal z table, we have,

$P(x < 60) =0.023= 2.3\%$

b) P(complete the exam in more than 60 minutes but less than 75 minutes)

$P(60 \leq x \leq 75) = P(\displaystyle\frac{60 - 80}{10} \leq z \leq \displaystyle\frac{75-80}{10}) = P(-2 \leq z \leq -0.5)\\\\= P(z \leq -0.5) - P(z < -2)\\= 0.309- 0.023 = 0.286= 28.6\%$

c) P(completing the exam in more than 90 minutes)

P(x > 90)

$P( x > 90) = P( z > \displaystyle\frac{90 -80}{10}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 90) = 1 - 0.8413 = 0.1587 = 15.87\%$

15.87% of children of class will require more than 90 minutes to complete the test.

Number of children =

$\dfrac{15.87}{100}\times 60 = 9.52\approx 10$

Approximately, 10 students of class will require more than 90 minutes to complete the test.

4 0

3 years ago