Answer:
3297909536
Step-by-step explanation:
83848*39332 = 3297909536
37.5 hours a week divided by the 5 days =7.5 hours a day
$15.75 per hour multiplied by 7.5 hours per day=$118.125
Answer:
Part 1) ![y=3\ units](https://tex.z-dn.net/?f=y%3D3%5C%20units)
Part 2) The length of the hypotenuse is 6 units
Step-by-step explanation:
Part 1) we know that
In the right triangle of the figure
----> by SOH (opposite side divided by the hypotenuse)
solve for y
![y=sin(60^o)2\sqrt{3}](https://tex.z-dn.net/?f=y%3Dsin%2860%5Eo%292%5Csqrt%7B3%7D)
Remember that
![sin(60^o)=\frac{\sqrt{3}}{2}](https://tex.z-dn.net/?f=sin%2860%5Eo%29%3D%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D)
substitute
![y=(\frac{\sqrt{3}}{2})2\sqrt{3}](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%292%5Csqrt%7B3%7D)
![y=3\ units](https://tex.z-dn.net/?f=y%3D3%5C%20units)
Part 2)
Let
h ----> the length of the hypotenuse
we know that
In the right triangle of the figure
----> by SOH (opposite side divided by the hypotenuse)
![h=\frac{3\sqrt{2}}{sin(45^o)}](https://tex.z-dn.net/?f=h%3D%5Cfrac%7B3%5Csqrt%7B2%7D%7D%7Bsin%2845%5Eo%29%7D)
Remember that
![sin(45^o)=\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=sin%2845%5Eo%29%3D%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
substitute
![h=3\sqrt{2}:\frac{\sqrt{2}}{2}](https://tex.z-dn.net/?f=h%3D3%5Csqrt%7B2%7D%3A%5Cfrac%7B%5Csqrt%7B2%7D%7D%7B2%7D)
![h=6\ units](https://tex.z-dn.net/?f=h%3D6%5C%20units)
Answer:
x=3
Step-by-step explanation:
![3x-2=7\\\\3x+2=+2\\\\\\\\frac{3x}{3}=\frac{9}{3}\\\\\\x=3](https://tex.z-dn.net/?f=3x-2%3D7%5C%5C%5C%5C3x%2B2%3D%2B2%5C%5C%5C%5C%5C%5C%5C%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B9%7D%7B3%7D%5C%5C%5C%5C%5C%5Cx%3D3)
Answer:
(x,y)=(2,-1)
Step-by-step explanation:
![2(4 + \frac{2}{y} ) + 3 \div y = 1](https://tex.z-dn.net/?f=2%284%20%2B%20%20%5Cfrac%7B2%7D%7By%7D%20%29%20%2B%203%20%5Cdiv%20y%20%3D%201)
![y = - 1](https://tex.z-dn.net/?f=y%20%3D%20%20-%201)
![x = 4 + \frac{2}{ - 1}](https://tex.z-dn.net/?f=x%20%3D%204%20%2B%20%20%5Cfrac%7B2%7D%7B%20-%201%7D%20)
![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
then verify