Answer:
l=√261 in
Step-by-step explanation:
l²=(12/2)²+15²
l²=6²+15²
l²=36+225
l²=261
l=√261 in ≈ 16.1555 in
No, they did not eat the same amount. Barry ate less because his sandwich was smaller, so there would be a smaller half. Jonah ate more because his sandwich was bigger, so he would have eaten a bigger half.
Answer:
![\frac{2}{3} \sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B3%7D)
Step-by-step explanation:
We know this triangle has angles 30, 60, and 90 degrees. Triangles with these angles have a special relationship on the sides.
The side opposite to the 90 degree angle is 2 times of x.
The side opposite to the 60 degree angle is
multiplied x.
We know the side opposite to 60 degree angle is 2, so x would be
![\frac{2}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D)
However, we can't have an irrational number in the demoninator so we multiply the fractice by root 3 over root 3:
![\frac{2}{\sqrt{3}} * \frac{\sqrt{3}}{\sqrt{3}}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B%5Csqrt%7B3%7D%7D%20%2A%20%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B%5Csqrt%7B3%7D%7D)
which gives us ![\frac{2}{3} \sqrt{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%20%5Csqrt%7B3%7D)