Answer:
Please check the explanation.
Step-by-step explanation:
We know the equation
y = kx
k = y/x
where k is the proportionality constant
so,
First ratio can be calculated as
Miles = 45
Hours = 3/4
The ratio = 45 / (3/4)
= (45 × 4) / 3
= 180/3
= 60
Thus, the proportionality constant = 60
Thus, the remaining ratios can be calculated as:
The Pair (135, Hours)
135/Hours = 60
Hours = 135 / 60
= 27/12
= 9/4
= 2.25
Thus, the pair is (135, 2.25)
The Pair (Miles, 3)
Miles/3 = 60
Miles = 60×3
= 180
The Pair (90, Hours)
90/Hours = 60
Hours = 90 / 60
= 3/2
= 1.5
Thus, the complete table:
Miles 45 135 180 90
Hours 3/4 9/4 3 3/2
Verification:
Miles / Hour = 45/(3/4) = 60
Miles / Hour = 135 / 2.25 = 60
Miles / Hour = 180 / 3 = 60
Miles / Hour = 90 / 1.5 = 60
She has 4 choices. draw the tree diagram like this:
cheese,tomato
cheese,lettuce
cheese,ham
tomato,cheese
tomato,lettuce
tomato,ham
lettuce,cheese
lettuce,tomato
lettuce,ham
ham,cheese
ham,tomato
ham,lettuce
if you still dont understand look up on google images tree diagram
comment back if you have any questions, im always online
The train will have been traveling for 4 hours
train A=45,90,135, 180
train B=0,60,120,180
Answer:
0.
Step-by-step explanation:
The angle whose sine is 5/12 = 22.62 degrees and in Quadrant II it is
180 - 22.62 degrees
The angle whose tan is (5/12) = 22.62.
So we can write α as 180 - α and β as α.
sin (α+β) = sin ( 180 - α = α) = sin 180
= 0.
