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DochEvi [55]
3 years ago
15

Help me out the number inside the triangle is really throwing me off tbh

Mathematics
1 answer:
prisoha [69]3 years ago
6 0

We are given an angle of 60° and a side of 15 cm.

We are given the opposite and is looking for the hypotenuse so we will use the sine ratio to find x.

sin = opp/hyp

hyp = 15 / sin 60

hyp = 17.32...

//

We can also use the tangent ratio to find the adjecent and then use pythagorean to find x.

tan = opp/adj

adj = 15 / tan 60

adj = 8.660.....

8.660....² + 15² = 300²

since the square root of 300 is an irrational number, we have to turn it into a mixed radical.

The answer would be the top one.

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Answer: 1.4

Step-by-step explanation:

To calculate the grade point average you have to sum all the points of each course multiplying the hours and then diveded by the total number of hours she did.

She earned a grade B in her 4 hour topology course, so she has 3*4 points.

In her 11 hour gouvernment course, she earned a grade D, so she has 1*11 points. In the 2 hour biology course she earned a grade D, so she has 1*2 points and in her 3 hours studio art course she had also a grade D, so she has 1*3 points

She has done 3+2+11+4 hours of subjects=20.

The total average is (3*4+1*11+1*2+1*3)/20=28/20=1.4

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The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo
liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

A=P(2)^\frac{t}{24}

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

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800=500(2)^\frac{t}{24}

On simplification we get

\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}

Taking log on both sides we get

\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}

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Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

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\Rightarrow \frac{0.205}{0.301}\cdot 24=t

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8 0
3 years ago
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