1) 4
2) 3520
3) 3.8
4) 84
5) 15840
6) 9
7) 2
8) 24
9) 1.25
Answer:
6 liters.
Step-by-step explanation:
So we have a glass, a jar, and a pitcher and together, they hold 54 liters.
We are told that the jar has the same volume as 3 glasses and the pitcher has the same volume as 5 glasses. In other words, let g denote glasses, j denote jars, and p denote pitchers:
Since jar is the same as 3 glasses, this means that j=3g. And since the pitcher is the same as 5 glasses, this means that p=5g. Substitute:
Combine like terms:
Divide both sides by 9. The left cancels:
Therefore, the volume of the glass is 6 liters.
Answer:
Step-by-step explanation:
Phil is going to store to buy a hat and a coat.
Let $x represent the cost of the cos of the hat. The coat cost 3 times as much as the hat. It means that the cost of the coat will be 3×x = $3x
His mom tells him that he cannot spend more than $120. Assuming he spends exactly $120. It means that
3x + x = 120
4x = 120
x = 120/ 4 = 30
The hat costs $30
The coat costs 30×3 = $90
The most he can spend on a coat is $90 since he cannot spend more than $120
Answer:
.6601
Step-by-step explanation:
to find u, which we assume is an angle of course, we can take arctan of both sides. so arctan(-7.721) = -1.4420. this angle is in quadrant 4, but it is not in the range. In this instance you just go around the circle again, or add 2pi, which gets us 4.8412. You can check and you get the same answer if you take the tangent of either.
So now we have a number in the appropriate range in the appropriate quadrant. That means we have the correct angle. The question asks what is sine of that angle cut in half. so sin(4.8412/2), which gets you your answer. let em know if something didn't make sense.
