Answer:
Answer
5.0/5
23
Let's find the unit rate stemming from $18 for 4 games:
$18
------------- = $4.50/game
4 games
Let's do the same for $27 for 6 games:
$27
------- = $4.50/game (same as before)
6 g
Thus, the const. of prop. is $4.50/game, and the cost function is
C(x) = ($4.50/game)x, where x is the # of games played.
First we need the equivalence between cups and pints to solve this question, the equivalence is:
1 cup is 0.5 pint
So we can use a rule of three simple, direct proportion to solve the problem, we change the fraction 1/4 = 0.25 to ease calculations:
1 cup ----> 0.5 pint
0.25 cup ---> x
x = (0.25)(0.5)/1
x = 0.125
Therefore 1/4 cups is equivalent to 0.125 pints
Answer:
- sin(θ) = (-2√13)/13
- cos(θ) = (3√13)/13
- tan(θ) = -2/3
- sec(θ) = (√13)/3
- csc(θ) = (-√13)/2
- cot(θ) = -3/2
Step-by-step explanation:
The distance of the point from the origin is ...
r = √(3² +(-2)²) = √13
We know that ...
x = r·cos(θ) ⇒ cos(θ) = x/r = 3/√13 = (3√13)/13
y = r·sin(θ) ⇒ sin(θ) = y/r = -2/√13 = (-2√13)/13
tan(θ) = sin(θ)/cos(θ) = -2/3
sec(θ) = 1/cos(θ) = (√13)/3
csc(θ) = 1/sin(θ) = (-√13)/2
cot(θ) = 1/tan(θ) = -3/2
