Answer: ![\frac{7\sqrt{2}}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Csqrt%7B2%7D%7D%7B2%7D)
Step-by-step explanation:
![\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}](https://tex.z-dn.net/?f=%5Csin%2045%5E%7B%5Ccirc%7D%3D%5Cfrac%7B7%7D%7By%7D%5C%5C%5C%5C%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cfrac%7B7%7D%7By%7D%5C%5C%5C%5Cy%3D%5Cfrac%7B7%7D%7B%5Csqrt%7B2%7D%7D%3D%5Cboxed%7B%5Cfrac%7B7%5Csqrt%7B2%7D%7D%7B2%7D%7D)
The Answer Is <span>factor by grouping</span>
Answer:
hypotenuse:15
Step-by-step explanation:
Pythagorean Theorem is a^2 + b^2 = c^2
"a" and "b" are the legs, "c" is the hypotenuse
9^2 + 12^2 = 225
hypotenuse = 15
Answer:
16 friends
Step-by-step explanation:
Right at the beginning, you can take the 2 chocolates Jack was left with out of the 50 chocolates Jack had at the beginning. That equals 48 chocolate bars, so we know that Jack gave his friends a total if 48 chocolates
![50 - 2 = 48](https://tex.z-dn.net/?f=50%20-%202%20%3D%2048)
Now that you have the number 48, you are really close to the answer.
If you know that he gave each if his friends 3 chocolates, you can make that into an equation and put it into a calculator. That would look like this:
![48 \div 3 = 16](https://tex.z-dn.net/?f=48%20%5Cdiv%203%20%3D%2016)
The reason you do 48 ÷ 3 is because Jack divided his 48 chocolates into groups of 3 to give to each of the other kids.
You get the answer 16, which means the answer is 16 kids at his friend's birthday party.