The table shows the height of a ball that was dropped from a 380-foot tower. What was the ball's rate of fall during the first 3
2 answers:
<u>Answer:</u>
The correct answer is 60 feet / second.
<u>Step-by-step explanation:</u>
We are given the height of a ball which is falling from a height of 280 feet for 3 seconds.
We are to find the ball's rate of fall during the first 3 seconds.
For that, we will take the difference between the heights and divide it by the time.
Ball's rate = = 60 feet / second
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Answer:
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Step-by-step explanation:
At 1100 ft per second for 18 seconds, the sound travels 19,800 ft, or 3.75 miles farther to my friend's house. The set of points that lie 3.75 miles farther from my friend's house than from my house form a hyperbolic curve. This is illustrated by the blue line in the attached graph. (My house is the red dot on the left; my friend's house is the red dot on the right.)
The lightning occurred somewhere on the blue curve.
___
If the lightning occurred on the line between our houses, it was 1/8 mile from my house and 3 7/8 mile from my friend's house. (That's close!)
_____
The formula for the curve in the graph is the distance formula applied to the set of points (x, y). It equates the difference of distance from the two houses to 3.75 miles. If one were to write the equation of the hyperbola in standard form, the equation would look a little different and a restriction would need to be applied so the formula would describe only one branch of the hyperbola.
Let's say, the amount that each side was increased was "a"
so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long
we know the area is 120, so whatever "a" is, we know that
(5+a)(12+a) = 120
so
use those factors, solve for "a"
so, it was 5 wide and 12 long, now it's 5+a wide and 12+a long
we know the area is 120, so whatever "a" is, we know that
(5+a)(12+a) = 120
so
use those factors, solve for "a"