Answer:
57.3°
Step-by-step explanation:
A 25 feet ladder leans against a building.
The ladder's base is 13.5 feet from the building.
The ladder, the wall of the building and the ground form a right-angled triangle of:
Hypotenuse = 25 feet
Base = 13.5 feet
We are to find the angle of elevation which the ladder makes with the ground (or rather the angle created by hypotenuse and base)
Let's say the angle = X°
According to a trigonometric equation;
cos X° = adjacent side ÷ hypotenuse = 
= 0.54
= 57.5=3° (Answer rounded up to nearest one decimal place).
∴ The angle of elevation = 57.3°
Answer:
Step-by-step explanation:
Cut the figure into two shapes.
4 x 3 = 12.
6 x 14 = 84.
12 + 84 = 96
You can use a scale factor of 2 to dilate the original and get the final. I got this answer by doing:
y x 6 = 6y (y represents the original rectangle, 6y represents the second rectangle)
then, 6y x 1/3 = 2y (2y represents the final rectangle)
If you compare the original rectangle (y) to the final (2y), you see that the final is 2 times the original, therefore the scale factor is 2
To find this, you have to find the specific cost of each service.
40% fixed costs: 400000 x 0.4 = 160000$
30% fuel: 400000 x 0.3 = 120000$
20% finance: 400000 x 0.2 = 80000$
and 10% maintenance: 400000 x 0.1 = 40000$
So the price was originally $1.50 (for fuel). This means that 120000$ was spent on fuel. Doing the math, it's 120000/1.50 = <span>80000 liters of fuel. So at the new price, the cost of all 80k liters would be 80000 x 1.60 = 128000. That's a 8000 increase in price, so the total cost is now $408000.</span>
