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pychu [463]
3 years ago
9

Find n (write in simplest radical form)

Mathematics
1 answer:
iragen [17]3 years ago
7 0
This is a special right triangle called a 30-60-90 triangle. It has a special property the relates the ratio of side lengths. That ratio is 1:\sqrt{3}:2

What does this mean? If you know the shortest side of a 30-60-90 triangle, you can find the longer leg by multiplying it by \sqrt{3}, and you can find the hypotenuse by multiplying the short leg by 2.

In the picture, note that the short leg of the triangle has a length of 9. Therefore, the long leg(or n) is simply 9\sqrt{3}
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Find the solution of given expression <br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B6%20%5Ctimes%20216%7D%20" id="TexFo
Morgarella [4.7K]
6x216 multiply them and u get 1296 then calculate the square root and your answer is 36
5 0
3 years ago
Read 2 more answers
suppose Q is the midpoint of PR. use the information to find the missing value. PQ equals 3x + 14 and QR equals 7X - 10; find X.
NARA [144]

Answer:

x=6

Step-by-step explanation:

A midpoint is the middle point of a line segment, therefore it is equal distances from both ends of the segment.

This means that PQ and QR have the same length. So all we have to do is set each value equal to each other, and then solve for X.

3x+14=7x-10\\3x+24=7x\\24-4x\\x=6

4 0
3 years ago
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Help me you guys I will apprecaite
stepladder [879]
I think your answer would be 14 if this is what it’s asking for
Because 6/6 makes 1 so 13+1 is 14
6 0
3 years ago
What is the nth term of this sequence?
lions [1.4K]

Answer:

D, you simply just add 1.3 each time.

4 0
2 years ago
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

On substituting the values in the formula we get

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}

using \log\frac{m}{n}=\log m-\log n

And \log a^m=m\log a

\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2

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

\Rightarrow 0.903-0.698=\frac{t}{24}0.301

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

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

\Rightarrow t=16.34

8 0
3 years ago
Read 2 more answers
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