Answer:
Expose both of left side and right side.
For example: on the left side: 2(x+6) = 2x + 6.
Answer:
arcsin(sin(40 radians)) =
0.840704497 rad
Step-by-step explanation:
Answer:
x + y = 170
Step-by-step explanation:
360 = 110 + x + y + 80
x + y = 360 - 110 - 80
x + y = 170
To understand this, take scissors and look at the angles how they change when you change the angle... there are always just TWO different angles and each of the angle has its exact counterpart on the opposite side. Now look again at this illustration and you will get it!
Another information, sum of all the angles inside of any rectangle is always 360 degrees!
Answer:
The number of gallons of 20% alcohol solution is 12 and the number of gallons of 60% alcohol solution is 4
Step-by-step explanation:
Let
x ----> the number of gallons of 20% alcohol solution
y ----> the number of gallons of 60% alcohol solution
we know that
20%=20/100=0.20
60%=60/100=0.60
30%=30/100=0.30
x+y=16
x=16-y ------> equation A
0.20x+0.60y=16(0.30) ------> equation B
Solve by substitution
Substitute equation A in equation B and solve for y
0.20(16-y)+0.60y=16(0.30)
3.2-0.20y+0.60y=4.8
0.40y=4.8-3.2
0.40y=1.6
y=4 gal
Find the value of x
x=16-y
x=16-4=12 gal
therefore
The number of gallons of 20% alcohol solution is 12 and the number of gallons of 60% alcohol solution is 4