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Rudiy27
3 years ago
11

Triangle ABC is an oblique triangle. If angle A equals 57°, angle B equals 73°, and AB equals 24 in, what is the length of AC?

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Step-by-step explanation:

\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}

Angle C must = [180 - 73 - 57 ] = [180 - 130] = 50°

And using rhw Law if Sines, we have.....

AB/sin C = AC/sin B → 24/sin(50) = AC/sin(73) → AC = 24*sin(73)/sin(50) = about 29.96 in

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While bowling with friends, Brandy rolls a strike in 57 out of 72 frames. what is the experimental probability that brandy will
gogolik [260]

Answer:

79.17% probability that brandy will roll a strike the first frame of the next game

Step-by-step explanation:

The experimental probability is the probability based on previous outcomes, that is, the number of desired outcomes divided by the number of total outcomes.

While bowling with friends, Brandy rolls a strike in 57 out of 72 frames. What is the experimental probability that brandy will roll a strike the first frame of the next game?  

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Total outcomes:

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Which of the following shows the graph of y=2e^x
MatroZZZ [7]
<h2>Hello!</h2>

The answer is:

The first option shows the graph of the given function.

<h2>Why?</h2>

Since the given function is an exponential function, we are looking for an exponential function graph, with a function that intercepts the y-axis at y equal to 2, or the point (0,2).

So, since we are given just one exponential graph, let's find the y-axis intercept in order to assure that the correct option is the first graph.

The function is:

y=2e^{x}

Finding the y-axis intercept, we need to make "x" equal to 0, so:

y=2e^{0}

We need to remember that any number elevated or powered to 0 is equal to 1, so:

y=2*1=2

We have that the function intercepts the y-axis at y equal to 2, or the point (0,2).

Finding the x-axis intercept, we need to make "y" equal to 0, so:

y=2e^{x}

0=2e^{x}

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Now, since the natural logarithm of "0" does not exist in the real numbers, we can see that there is not x-axis intercept for this function.

Hence, the first option shows the graph of the given function.

Have a nice day!

Note: I have attached a picture for better understanding.

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