Answer:
5.75 feet is the same as 5 ft 9 inches (because 12 in = 1 ft and 0.75 * 12 = 9 so its 9 in). 7 ft 10 in - 5 ft 9 in = 2 ft 1 in.
A=10ft because A is 8ft so round that to the nearest ten your answer is 10ft
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 17.16 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 17.16 is 100%, so we can write it down as 17.16 = 100%.
4. We know, that x is 62.4% of the output value, so we can write it down as x=62.4%
5. Now we have two simple questions:
1) 17.16 = 100%
2) x=62.4%
Where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
17.16÷x=100%÷62.4%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 62.4% of 17.16
17.16÷x=100/62.4%
(17.16÷x)×x=(100÷62.4%)×x
17.16=1.60256410256×x
(1.60256410256) to get x
17.16÷1.60256410256=x
10.70784=x
x=10.70784
Now we have:
62.4% of 17.16=10.70784
So 10.70784 is your answer
Hope this helps :)
Answer:
about 2.9° north of east
Step-by-step explanation:
If we orient the directions so north is in the +y direction and east is in the +x direction, the car is traveling 13 km at an angle of -45°, then 16 km at an angle of +40°. We can add these vectors by adding their components in the x- and y-directions.
13(cos(-45°), sin(-45°)) ≈ (9.19239, -9.19239)
16(cos(40°), sin(40°)) ≈ (12.25671, 10.28460)
The sum of these vectors is then ...
= (21.44910, 1.09221)
and the resultant angle is ...
arctan(1.09221/21.44910) ≈ 2.915° . . . . measured north of east
The resultant direction is about 2.9° north of east.
