Answer: Option C)1 over 15 minus 1 over x equals 1 over 20
Explanation:
Since, Micah can fill a box with books in 15 minutes.
Therefore, the work done by Micah in one minute= 1/15
Also, Sydney takes the books out puts them on a shelf.
And the times taken by Micah when Sydney is also taking the books outside from the self= 20 minutes
Therefore, the work done by Micah in one minute when Sydney taking books out of the box= 1/20
Let Sydney alone takes x minutes to take books outsides the shelf.
Then, work done by Sydney in one minute=1/x
Thus, the work done by Sydney( by taking books out of the box)= the work done by Micah - work done by Micah and Sydney simultaneously= 1/15-1/20
⇒1/x=1/15-1/20
⇒1/15-1/20=1/x
⇒1/15-1/x=1/20 is the required expression.
Therefore, Option C is correct.
Answer:
direct distance = 65,644.07 feet
horizontal distance = 65,154.77 feet
Step-by-step explanation:
The angle of depression is the angle that the airplane does with the horizontal plane.
So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.
In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:
tangent(7) = 8000 / hd
hd = 8000 / tangent(7) = 65,154.77 feet
In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:
sine(7) = 8000 / d
d = 8000 / sine(7) = 65,644.07 feet
(3, -2) satisfies both equations. 3-2=1, and -3-2=-5.
Answer:
The team won 32 games.
Step-by-step explanation:
x = games won
y = games lost
z = total games = 40
x = 4y <em>Won 4 times as many games as it lost</em>
x + y = 40 <em>Games won + games lost = Total games played</em>
4y + y = 40 <em>Sub 4y in for x, as established previously</em>
5y = 40
y = 8
x = 4y
x = 4(8)
x = 32
The team won 32 games.
