In this problem, volume is computed:
volume = ∫(flow rate)·dt
.. = ∫[0, t] (3/10)*sin(2πt/7)·dt
= (3 / 10)*(7 /(2 π))*(-cos (2 π t/7)+1)
= (-21 / (20 π))*(cos (2 π t /7) - 1)
Volume is equal to 21 sin^2 (pit/7) / 10pi is the inhaled air in the lungs at time t
As per the problem
The escalator make a 30° angle with the floor .
The escalator have a vertical height of 36 feet.
Now draw the diagram with the given information, the diagram is attached below
From the diagram,
Horizontal length=AB=d
Distance traveled by the person on the escalator stairs=AC=l
In triangle ABC,
![tan30=\frac{36}{d}\\ \\ \frac{1}{\sqrt{3}} = \frac{36}{d}\\ \\ d=36\sqrt{3} \\](https://tex.z-dn.net/?f=%20tan30%3D%5Cfrac%7B36%7D%7Bd%7D%5C%5C%20%5C%5C%20%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%7D%20%3D%20%20%5Cfrac%7B36%7D%7Bd%7D%5C%5C%20%5C%5C%20d%3D36%5Csqrt%7B3%7D%20%5C%5C%20)
Again in triangle ABC, Using Pythagoras Theorem
![AC^2=AB^2+BC^2\\ \\ l^2=36^2+(36\sqrt{3})^2\\ \\ l=\sqrt{36^2+(36\sqrt{3})^2} \\ \\ l=\sqrt{5184} =72\\](https://tex.z-dn.net/?f=%20AC%5E2%3DAB%5E2%2BBC%5E2%5C%5C%20%5C%5C%20l%5E2%3D36%5E2%2B%2836%5Csqrt%7B3%7D%29%5E2%5C%5C%20%5C%5C%20l%3D%5Csqrt%7B36%5E2%2B%2836%5Csqrt%7B3%7D%29%5E2%7D%20%5C%5C%20%5C%5C%20l%3D%5Csqrt%7B5184%7D%20%3D72%5C%5C%20)
The horizontal length needed is ![36\sqrt{3} ft](https://tex.z-dn.net/?f=%2036%5Csqrt%7B3%7D%20ft%20%20)
The distance a person would travel on the escalator stairs is 72 ft
Answer:
3:123 4:0 5:13.69
Step-by-step explanation:
I hope this helps
In this problem, you are just being asked the distance between the numbers on the number line.
Example:
X=5, A= - 5
Count the spaces in between the 2 numbers... 5 is on the positive side, any number on the right of a number line is a positive number, and any number on the left of a number line is a negative.
so if you count down from positive 5 to 0, you have jest then moved 5 spaces backwards... now move back 5 again into the negative side, now you should have moved a total of 10 spaces coming from positive to negative.
Answer:
4 flights of stairs in 5 minutes
Step-by-step explanation:
8/10 times 5