Answer:
x = 98 mm
Step-by-step explanation:
The angle bisector YT divides the triangle into proportional segments:
VY/VT = KY/KT
Filling in the numbers and multiplying by VT, we have ...
VY/57 = 68/129.2
VY = 57·68/129.2 = 30
Then we can find x from ...
x = VY + YK = 30 +68 = 98 . . . mm
The value of x is 98 mm.
3/5 or 60%.
2/3 hour is 40 minutes, so 1/3 is 20 minutes.
40 minutes have passed and 2/5 of the progress on the floor is complete. In 20 minutes, 1/5 of the work is complete. Add 20 minutes to 40 minutes to get 60 minutes, or an hour.
Because of this, we need to add the progress of 20 minutes and 40 minutes. 1/5+2/5=3/5.
The answer is 4.5 l
To calculate this, we will use the Boyle's law using constant k, pressure P, and volume V:
PV = k
We can forget temperature since it is constant.
We have:
P1V1 = k
P2V2 = k
So, P1V1 = P2V2
P1 = 3 atm
V1 = 1.5 l
P2 = 1 atm
V2 = ?
_____
P1V1 = P2V2
3 atm * 1.5 l = 1 atm * V2
4.5 atm/l = 1 atm * V2
V2 = 4.5 atm l / 1 atm
V2 = 4.5 l
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