Soultion:
x=4
step by step
(4+6)(4+2)=60
If it’s going 110mph, and the question if asking how many mph will it go for half an hour. Simply just take 110 divided by 2.
Which gives u 55
Answer:
decreasing at 390 miles per hour
Step-by-step explanation:
Airplane A's distance in miles to the airport can be written as ...
a = 30 -250t . . . . . where t is in hours
Likewise, airplane B's distance to the airport can be written as ...
b = 40 -300t
The distance (d) between the airplanes can be found using the Pythagorean theorem:
d^2 = a^2 + b^2
Differentiating with respect to time, we have ...
2d·d' = 2a·a' +2b·b'
d' = (a·a' +b·b')/d
__
To find a numerical value of this, we need to find the values of its variables at t=0.
a = 30 -250·0 = 30
a' = -250
b = 40 -300·0 = 40
b' = -300
d = √(a²+b²) = √(900+1600) = 50
Then ...
d' = (30(-250) +40(-300))/50 = -19500/50 = -390
The distance between the airplanes is decreasing at 390 miles per hour.
Answer: The height of the water in the tank is 1.178 inches
Step-by-step explanation:
Since water flows at the rate of 6000 cubic inches per minute into a cylindrical tank, then after 5 minutes, "x" cubic inches of water must have flowed into the tank. To find x:
1minute -------- 6000 cubic inches
5 minutes ------- ?
Therefore, 5/1 × 6000 = 30,000 cubic inches (this is the volume of water that must have flown into the cylindrical tank.
Since π = 22/7
Radius = diameter/2 = 180/2 = 90inches
Height of the tank = 72 inches, then applying the formula for the volume of a cylinder(π×r×r×h):
22/7 × 90×90×72
12830400/7 = 1832914.29 cubic inches (This is the natural capacity of the tank).
It if after 5 minutes and 3000 cubic inches of water have flown into the cylindrical tank, then the height of the water in the tank =
(In this case, π =22/7, r=90, h= ?)
22/7 × 90×90×h = 30,000
178200/7 = 30,000
178200h = 210000
h = 210000/178200
h = 1.178 inches
1. Very possibly the 2nd choice. All the others are rational. An irrational number has an infinite, non-repeating decimal portion.
2. √1/169 = (√1)/169 = 1/169. Perhaps you mean √(1/169).
. . . . corresponds to the 3rd choice
3. Square root both sides.
.. x = ±√98 ≈ 9.9, -9.9 . . . . . corresponds to the 3rd choice