Answer:
![6\sqrt{6}](https://tex.z-dn.net/?f=6%5Csqrt%7B6%7D)
Step-by-step explanation:
![\sqrt{216}](https://tex.z-dn.net/?f=%5Csqrt%7B216%7D)
factorise 216
![\sqrt{2*2*2*3*3*3}](https://tex.z-dn.net/?f=%5Csqrt%7B2%2A2%2A2%2A3%2A3%2A3%7D)
since it is square root (meaning it has index to) pair up the number
![2*3\sqrt{2*3](https://tex.z-dn.net/?f=2%2A3%5Csqrt%7B2%2A3)
![6\sqrt{6}](https://tex.z-dn.net/?f=6%5Csqrt%7B6%7D)
Answer:
589 books in total
Step-by-step explanation:
fiction books= 381
non-fiction= 381-47= 271
total amount of books(ficton books and non-fiction books together)= 589 books in total
Use the Pythagorean theorem. The equation for this right triangle would be a^2+b^2=c^2. Since you have one leg and the hypotenuse, you can plug these into the equation. It would be 7^2+b^2=12^2. Do the exponents. You will get 49+b^2=144. You need to get b by itself so subtract each side by 49. You get the equation b^2=95. Square root each side to get b=9.746. This rounds to 9.7. So the answer is A. Hope this helps! ;)
The value of the given variable x in the missing angles is; x = 12°
<h3>How to find alternate Angles?</h3>
Alternate angles are defined as the angles that occur on opposite sides of the transversal line and as such have the same size. There are two different types of alternate angles namely alternate interior angles as well as alternate exterior angles.
Now, from the question, we can see that ∠4 and ∠6 suit the definition of alternate angles and as such we can say that they are both congruent.
Since ∠4 = (8x + 4)° and ∠6 = (6x + 28)°, then we can say that;
(8x + 4)° = (6x + 28)°
Rearranging this gives us;
8x - 6x = 28 - 4
2x = 24
x = 24/2
x = 12°
Read more about Alternate Angles at; brainly.com/question/24839702
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