Answer:
33 ft
Step-by-step explanation:
The image in a mirror is as far behind the reflecting surface as the actual object is in front. When working reflection problems such as this one, it is convenient to mirror the geometry in the line of reflection. This puts the target point at the same distance from the left edge of the room, but 8 feet beyond the reflecting wall. A straight line from the source to the target image will intersect the wall at the appropriate point.
Essentially, we want to know where a line between a point at coordinates (6, 12) and a point at coordinates (45, 38) will intersect the wall at y=30.
The 2-point form of the equation for the line is ...
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
For the points listed above, this is ...
y = (38 -12)/(45 -6)(x -6) +12 = 26/39(x -6) +12
y = 2/3x +8
The value of x that gives y=30 is ...
30 = 2/3x +8 . . . . . substitute 30 for y
22 = 2/3x . . . . . . . . subtract 8
(3/2)·22 = x = 33 . . . . multiply by 3/2
Zack should shoot at a point 33 feet along the wall in order to hit Patrick.
_____
In short, Zack should aim at Patrick's reflection in the wall.
[Rewritten and Fixed]
Joint relative frequency is the ratio of the frequency in a certain category and the total number of data points in that category.
$7.25 per hour.
$198.65 divided by 27.4=7.25
To check your work do 7.25x27.4 it should equal 198.65 (it does).
Answer:
yes
Step-by-step explanation:
x+3>8
-3
x>5
Decimals are no fun. It might be a good idea to get rid of the decimals as a first step.
Notice that the smallest decimal value is in the THOUSANDTHS PLACE. So if we multiply both sides by 1000, that should do the trick.
1000( 0.007x + 0.03 ) = 1000( 0.1 )
With each term, we'll move the decimal 3 places.
That's what it means to multiply by 1000.
7x + 30 = 100
From that point the problem becomes quite a bit easier.
Subtract 30,
7x = 70
Divide by 7 as a final step,
x = 10
Hope that helps :)