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Daniel [21]
3 years ago
12

The moon forms a right triangle with the Earth and the Sun during one of its phases, as shown below:

Mathematics
1 answer:
Anastasy [175]3 years ago
7 0

Answer:

The distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x

Step-by-step explanation:

Let

EM -----> the distance between the Earth and the Moon.

y -----> the distance between the Sun and the Moon.

we know that

In the right triangle of the figure

The sine of angle x is equal to divide the opposite side to angle x (distance between the Earth and the Moon.) by the hypotenuse ( distance between the Sun and the Moon)

so

sin(x)=EM/y

Solve for EM

EM=(y)sin(x)

therefore

The distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x

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Please answer this question for brainliest!
Sati [7]

Answer:

Rectangle C is not similar to the other 2

Step-by-step explanation:

3*2=6

1*2=2


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3 years ago
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shusha [124]

Answer:

x = -3

Step-by-step explanation:

y\geq -\frac{2}{3} x-3\\
y\leq 3x+8

-\frac{2}{3} x-3=3x+8

Add 2/3 x to both sides:  -3=\frac{11}{3}x+8

Subtract 8 from both sides: -11=\frac{11}{3}x

Multiply both sides by 3:  -33=11x

Divide both sides by 11:  x=-3

Therefore, point of intersection between both lines is at point (-3, -1)

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2 years ago
A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

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3 years ago
Griffin says the birds height above and the fish’s depth below sea level are opposites. Is this possible? Explain.
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2 years ago
If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am. What was the beginning temperature at 5:00 am if the temper
arlik [135]

If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am.  the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.

<h3>Beginning temperature</h3>

Dropped in temperature=7.t

Number of hours= 5:00 am to 9:00 am=4 hours

Temperature at 9:00 am=-10.f

Hence:

Beginning temperature can be calculated as:

Beginning temperature=(4× 7) + (-10)

Beginning temperature=28 + (-10)

Beginning temperature= 18.f

Check:

Since  temperature dropped by 7.f each hour from 5:00 am to 9:00 am

which implies that temperature  7.f dropped for 4 hours.

Hence:

18-7-7-7-7=-10.f

Therefore If the temperature dropped by 7.f each hour from 5:00 am to 9:00 am.  the beginning temperature at 5:00 am if the temperature at 9:00 am was -10.f is 18.f.

Learn more about Beginning temperature here:brainly.com/question/24746268

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