Answer:
![\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%283%5Csqrt%7B2%7D%20%2B%5Csqrt%7B14%7D%29%3D6%2B2%5Csqrt%7B7%7D)
Step-by-step explanation:
Given : ![\sqrt{2} (3\sqrt{2} +\sqrt{14})](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%283%5Csqrt%7B2%7D%20%2B%5Csqrt%7B14%7D%29)
Solution:
![\sqrt{2} (3\sqrt{2} +\sqrt{14})](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%283%5Csqrt%7B2%7D%20%2B%5Csqrt%7B14%7D%29)
![3*2+\sqrt{28})](https://tex.z-dn.net/?f=3%2A2%2B%5Csqrt%7B28%7D%29)
![6+2\sqrt{7}](https://tex.z-dn.net/?f=6%2B2%5Csqrt%7B7%7D)
Thus , ![\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B2%7D%20%283%5Csqrt%7B2%7D%20%2B%5Csqrt%7B14%7D%29%3D6%2B2%5Csqrt%7B7%7D)
Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14
Answer:
2 sqrt(19)
Step-by-step explanation:
We know that the angle between the two hands
360 /12 *2 = 60 degrees
We divide by 12 because there are 12 number and multiply by 2 because there are 2 number between 10 and 12
This is a triangle where we know 2 sides and the angle between them.
We can use the law of cosines to determine the third side
c^2 = a^2 + b^2 -2abcosC
Where C is the angle between sides a and b
a =4 and b = 10 C = 60 and we are looking for side c
c^2 = 4^2 + 10^2 -2*4*10 cos60
c^2 =16+100 - 80cos 60
c^2 = 76
Take the square root of each side
sqrt(c^2) = sqrt(76)
c = sqrt(76)
c =sqrt(4) sqrt(19)
c =2 sqrt(19)
Answer:
just copy and paste it into cymath it's an math app that works on any equation so I recommend
Step-by-step explanation:
sorry I don't know if that helped but that's the luck.
<h2>Solution (1) :</h2>
∠<em>y</em><em> </em>and ∠<em>x</em> are alternate interior angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (2) :</h2>
∠y and ∠x are alternate interior angles . Both of these angles will have an equal angle measure when they lie on two parallel lines with a transversal .
<h2>Solution (3) :</h2>
∠y and ∠x vertically opposite angles . Both of these angles will be equal in measure when on two parallel lines with a transversal .
<h2>Solution (4) :</h2>
∠y and ∠x are adjacent angles as well as a linear pair . These angles will sum up to form 180° .
Answer:
-7
Step-by-step explanation: