Answer:
![d = \sqrt{109}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B109%7D)
Step-by-step explanation:
Use the <u>distance formula</u>.
![\text{The distance between two points } (x_1, y_1) \text{ and } (x_2, y_2) \text{ is given by the formula:}\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20distance%20between%20two%20points%20%7D%20%28x_1%2C%20y_1%29%20%5Ctext%7B%20and%20%7D%20%28x_2%2C%20y_2%29%20%5Ctext%7B%20is%20given%20by%20the%20formula%3A%7D%5C%5Cd%20%3D%20%5Csqrt%7B%28x_2%20-%20x_1%29%5E2%20%2B%20%28y_2%20-%20y_1%29%5E2%7D)
Your points are (-4, 11) and (6, 8).
![d = \sqrt{(-4 - 6)^2 + (11 - 8)^2}\\\\d = \sqrt{(-10)^2 + (3)^2}\\\\d = \sqrt{100 + 9}\\\\d = \sqrt{109}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28-4%20-%206%29%5E2%20%2B%20%2811%20-%208%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B%28-10%29%5E2%20%2B%20%283%29%5E2%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B100%20%2B%209%7D%5C%5C%5C%5Cd%20%3D%20%5Csqrt%7B109%7D)
The answer is $281.65
<span>5 2/3 = 5 + 2/3 = 15/3 + 2/3 = 17/3
</span><span>9 1/3 = 9 + 1/3 = 27/3 + 1/3 = 28/3
</span><span>8 3/5 = 8 + 3/5 = 40/5 + 3/5 = 43/5
</span><span>9 2/5 = 9 + 2/5 = 45/5 + 2/5 = 47/5
The total number of hours is:
</span><span>5 2/3 + 9 1/3 + 8 3/5 + 9 2/5 + 9 =
17/3 + 28/3 + 43/5 + 47/5 + 9 =
45/3 + 90/5 + 9 =
15 + 18 + 9 =
42
</span>The hours of overtime are: 42 - 40 = 2
So, he earns $6.55 per hour for each 40 hours:
40h * 6.55$/h = $262
Overtime price is:
1 1/2 * $6.55 = (1 + 1/2) * $6.55 = (2/2 + 1/2) * $6.55 = 3/2 * $6.55 = $9.825 per hour
Two hours are overtime, so for those two hours he earned:
2h * 9.825$/h = $19.65
The total earn for 42 hours is:
$262 + $19.65 = $281.65
Answer:
UUHH FIRST SHOW US THE PIC SO WE CAN FIGURE IT OUT