Determine whether the relationship between the two quantities is proportional. Explain.
2 answers:
Answer:
Option B. No, because the graph of the line connecting the ordered pairs does no pass through the origin.
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line<u><em> and the line passes through the origin</em></u>
step 1
Connect the ordered pairs of the graph
The y-intercept is the point (0,20)
see the attached figure
That means, that the line not passes through the origin
therefore
The relationship between the two quantities is not proportional
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Answer:
C
Step-by-step explanation:
Given
V = πr²h
Isolate h by dividing both sides by πr²
= h → C
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Data;
- Angle = 45 degree
- Observation deck (adjacent) = 1145 ft
- horizontal distance (opposite) = x
Using trigonometric ratios, we have the value of adjacent and angle, we can easily use tangent of the angle to find the horizontal distance
Substitute the values into the equation and solve
The horizontal distance between the base of the skyscraper to the ship is 1145 feet.
Learn more on trigonometric ratio here;