Answer:
3 acute angles with different measures and 1 right angle and 2 acute angles with same measures
Answer:
The equation is exact
F(x,y) = 3x4/4 - 3xy -y2
Step-by-step explanation:
The step by step explanation and to ascertain the exactness of the differential equation is as shown in the attached file.
20x+5y=120
10x+7.5y=80 multiply this one by 2
___________
20x+5y=120
20x+15y=160 subtract
___________
-10y=-40 divide both sides by -10
____________
y=4
20x+5(4)=120 plug 4 in for y in the first equation
20x+20=120 multiply
20x=100 subtract
x=5 divide to find x
Answer:
18 pints
Step-by-step explanation:
As we can see, three pint of yellow paint was mixed with four pint of red paint. Let x represent the number of yellow paint and let y represent the number of red paint. Therefore, the ratio of the two paints is:
x/y = 3/4
x = (3/4)y
To calculate the number of red paints (x) that is needed to be mixed with 24 pints of yellow paint, we use the equation and substitute y as 24. Hence:
x = (3/4)y
x = (3/4) * 24
x = 18 pints