For a better understanding of the answer please find the diagram in the attachment.
As can be clearly seen from the diagram that the distance, "d" (shown in dark blue) of 100 feet which is covered on the sloped/inclined road is actually making an angle of only 30 degrees with the force of 200 pounds which is being applied on the road. That angle of 30 degrees is what matters.
So, the force, F=200 pounds
distance, d=100 feet
And the angle between the force, F and the distance, d is: ![\theta=30^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D30%5E%7B%5Ccirc%7D)
Therefore, as per formula, the work, W, done will be:
![W=F\times d\times cos(\theta)](https://tex.z-dn.net/?f=W%3DF%5Ctimes%20d%5Ctimes%20cos%28%5Ctheta%29)
This, when applied to the question we have will give us:
![W=200\times 100\times cos(30^{\circ})\approx17320.51 lb-ft](https://tex.z-dn.net/?f=W%3D200%5Ctimes%20100%5Ctimes%20cos%2830%5E%7B%5Ccirc%7D%29%5Capprox17320.51%20lb-ft)
Answer:
I think A sorry if wrong
Step-by-step explanation:
have a good day
Answer:
The age of the mother is 42 years, while the age of the girl is 7 years.
Step-by-step explanation:
Given that 1/6 of the age of a mother is the age of her daughter, to determine the age of the mother if the difference of their age is 35, the following calculations must be performed:
6 - 1/6 = 5/6
5/6 = 35
35/5 = 7
7 + 35 = 42 = 7 x 6
7 = 7 x 1
Therefore, the age of the mother is 42 years, while the age of the girl is 7 years.
Answer:
24 days
Step-by-step explanation:
the information we have is:
Farmers Days
20 ⇒ 36
30 ⇒ x
the table describes that 20 farmers harvest the fruits in 36 days, and the x represents the quantity of days that will take 30 farmers to harvest the fruits.
since the amount of farmers and the amount of days are <u>inversely proportional</u> (if we have more farmers they will need less days, and the other way around) we use the inverse rule of three to solve this problem: multiply the quantities at the top of the table (20 and 36) and divide the result by the remaining amount (30).
we get the following:
x = 20 * 36 / 30
x = 720 / 30
x = 24
It will take 24 days for the 30 farmers to harvest the same amount of fruit
Because a beach volleyball is a sphere, so the volume formula is V= 4pi r^3/r
so the answer would be <span>24,429.024 </span>