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alexandr1967 [171]
4 years ago
6

I don’t know how to start with drawing the diagram for this question.

Mathematics
1 answer:
kogti [31]4 years ago
6 0

Consider right triangles ADB and ADC in the figure, right angle D.

By alternate transversals ABD=63° and ACD=11°.

\tan 63 = \dfrac 8 y

\tan 11 = \dfrac 8{x+y}

y = \dfrac{8}{\tan 63}

x = -y +  \dfrac{8}{\tan 11}

x = \dfrac{8}{\tan 11} -  \dfrac{8}{\tan 63}

x \approx 37.08 \textrm{ meters}

That's in one second, so

Answer: 37 meters per second

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4 years ago
Select the statement that does not correctly use probability to describe an event
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Answer:

D

Step-by-step explanation:

Probability is, by definition, a number between 0 and 1, which can be expressed as a fraction or a percentage. For example, the odds of getting heads if you throw a fair coin are 50%, or ½. The odds of not getting heads are 1-½=½.

If the probability of something happening is 1, it means that that thing will happen for sure. Likewise, if the probability of an event is 0, it means that the event will never happen.

You can therefore easily understand that it doesn't make sense to have a probability greater than 1, as we have in choice D.

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Step-by-step explanation:

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2 years ago
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice th
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Answer:

The equation for the curve is:

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Step-by-step explanation:

We know that for a curve defined as:

y = f(x)

The slope of the curve at the point x is:

y = f'(x)

where f'(x) = df(x)/dx

Here we know that we have a function that passes through the point (0, 7)

We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))

Then we have two equations:

f(0) = 7

f'(x) = 2*f(x)

From the shape of the equation, we can assume than this is an exponential equation like:

f(x) = A*e^{k*x}

Replacing that in the second equation, we get:

k*A*e^{k*x} = 2*A*e^{k*x}

From that equation, we can conclude that k = 2

Then:

f(x) = A*e^{2*x}

Now we can use the first equation:

f(0) = 7

With this, we can find the value of A.

f(0) = 7 =  A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A

Then we can conclude that the equation for the curve is:

f(x) = 7*e^{2*x}

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Answer:

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Step-by-step explanation:

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