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3 years ago

A parachutist falls at a speed of about 12 miles per hour. Find this speed in feet per second

Mathematics

1 answer:

padilas [110]3 years ago

6 0

So in 1 hour, the parachutist will fall 12 miles or
12 mi/1hour

convert
1 hour=60 mins
1 min=60 seconds
1 hour=60 times 60 seconds=360 seconds
12 miles per 360 seconds

convert miles to feet
5280 feet per mile
12 miles times 5280=63360 feet

63360/360
do the math and simplify
63360/360=6336/36=176

176 feet per second

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Graph a triangle (STU) and reflect it over the y-axis to create triangle ST'U'.

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The line segment from S to the y-axis equals the line segment from S' to the y-axis. Similarly, the line segment from T to the y-axis equals the line segment from T' to the y-axis

See attachment for $\triangle STU$ and $\triangle S'T'U'$

In order to solve this question, I will make the following assumptions.

Assume that the coordinates of $\triangle STU$ are

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Refer to attachment for illustrations

(1) Reflect $\triangle STU$ over y-axis and describe the transformation

To reflect $\triangle STU$ across the y-axis, the following rule must be followed

$(x,y) \to (-x,y)$

This means that:

$S = (4,5) \to S' = (-4,5)$

$T = (5,9) \to T' = (-5,9)$

$U=(3,8) \to U'=(-3,8)$

The description of the transformation is as follows:

Notice that the signs of the x-coordinates $\triangle STU$ and $\triangle S'T'U'$ of both triangles are different.

In other words, if the x-coordinate of one is positive, then the other will have a negative x-coordinate; and vice versa.

(2) Compare the segments and the line of reflection

To reflect across the y-axis means that the reflecting line is the y-axis, itself.

The distance between a point to the y-axis is the absolute value of the x-coordinate.

So, the distance between S and the y-axis is:

$S = |4| = 4$

The distance between S' and the y-axis is:

$S' = |-4| = 4$

We can conclude that the two line segments are equal.

This is the same for other point T and T' because of the formula used above.

From T and T' to the y-axis is:

$T =|5| =5$

$T' =|-5| =5$

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