A school counselor wants to compare the effectiveness of an online SAT preparation program with an in-person SAT preparation cla
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Answer:
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii.
Step-by-step explanation:
Radius of first circle = 9 inches
Area of first circle =
Area of first circle = 9 × 9 × π = 81 π
Now, since the radius is multiplied by 2/3 for from a new circle.
∴ Radius of the second circle =
Area of second circle =
Area of second circle = 6 × 6 × π = 36 π
Now,
∵ = 9 inches and
= 6 inches
The above expression shows that ratios of the areas of the circles are equal to the square of the ratio of their radii. i.e.,
Answer:
k= 1 mile per minute
Step-by-step explanation:
There is a proportional relationship between the time (in minutes) Dave spends riding the train, x, and the distance he travels (in miles), y.
The table representing this information is given below:
The equation of proportionality is given as: y=kx
When x=8, y=8
Substituting we have:
8=8k
Divide both sides by 8
k=1
Therefore, the constant of proportionality, k= 1 mile per minute