470 = 8.75(46 - c) + 11c
470 = 402.5 - 8.75c + 11c
67.5 = 2.25c
30 = c
If c = 30 and Soren worked 30 hours in the office, earning $11 per hour, he earns $330 from his office job. 46 - 30 = 16, which should be the remaining amount of hours Soren worked. 16 * 8.75 = 140. He earned $140 from his cashier job. $330 + $140 = $470.
The correct formula to solve this problem is A. 11c + 8.75(46 - c) = 470
Answer:
The horizontal distance from the plane to the person on the runway is 20408.16 ft.
Step-by-step explanation:
Consider the figure below,
Where AB represent altitude of the plane is 4000 ft above the ground , C represents the runner. The angle of elevation from the runway to the plane is 11.1°
BC is the horizontal distance from the plane to the person on the runway.
We have to find distance BC,
Using trigonometric ratio,
Here, 
,Perpendicular AB = 4000
Solving for BC, we get,
(approx)
(approx)
Thus, the horizontal distance from the plane to the person on the runway is 20408.16 ft
If you're trying to find the missing side of the "triangle" (the distance from the house to where the ladder touches the ground), you would use the pythagorean theorem, a²+b²=c². (c is always hypotenuse)
a²+b²=c²
12²+b²=15²
144+b²=225
b²=81
√b²=√81
b=9
Answer:
57 square feet
Step-by-step explanation:
Split the boxes into two parts.
One box measuring 11.5 ft long and 3 ft wide. (Box A)
The second box measuring 7.5 ft long and 3 ft wide. (Box B)
Area (figure) = Area of box A + Area of box B
Area of box A
3 × 11.5 = 34.5 ft²
Area of box B
3 × 7.5 = 22.5 ft²
Area of figure = 34.5 + 22.5
Area of figure = 57 ft²
