Answer:
Side WZ=9
Step-by-step explanation:
Since he two are similar you need to make a ratio of the two parallelograms
The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.
Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.
You can do this since FE is similar to XW, because it is the same shape just bigger.
Next you take the two fractions adn set them equal to each other.
2 6
_ = _
3 x
Now cross multiply (2 timesx and 6 times 3)
It should look like this now
2x=18
Now all you have to do is divide by 2.
The work done in pushing the box is 64000 lb-ft²/s²
<h3>How to calculate the work done by the person?</h3>
Since person pushing a 40 pound box up an incline that is 30 degrees above the horizontal and 100 feet long, the work done, W is
W = mgh where
- m = mass of box = 40 lb,
- g = acceleration due to gravity = 32 ft/s² and
- h = height of incline = LsinФ where
- L = length of incline = 100 ft and
- Ф = angle of incline = 30°
So, W = mgh
W = mgLsinФ
So, substituting the values of the variables into the equation, we have
W = mgLsinФ
W = 40 lb × 32 ft/s² × 100 ftsin30°
W = 1280 lb-ft/s² × 100 ft × 0.5
W = 1280 lb-ft/s² × 50 ft
W = 64000 lb-ft²/s²
So, the work done in pushing the box is 64000 lb-ft²/s²
Learn more about work done here:
brainly.com/question/25970931
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Given:
The vertices of a triangle ABC are A(-2,1), B(-1,4) and C(-4,5).
Triangle ABC is reflected over the x‐axis, reflected over the y‐axis, and rotated 180 degrees.
To find:
The point B'.
Solution:
If a figure reflected over x-axis, then
If a figure reflected over y-axis, then
If a figure rotated 180 degrees about the origin, then
So, the coordinate of point B' are (-1,4).
Therefore, the correct option is A.
Answer:
money owed (in order): $850, $870.40, $891.29, $912.68
Step-by-step explanation:
The formula is
money owed = amount owed the previous week + amount owed previous week × interest rate (in decimal form)
so thats:
money owed = amount owed the previous week + amount owed previous week × 0.024
we can simplify that to:
money owed = amount owed the previous week x (1.024)
after 0 weeks:
$850 (just started, no interest added)
after 1 week:
$870.40
after 2 weeks:
$891.29
after 3 weeks:
$912.68
Answer:
The roots (r) or the Zeros ( other name ) = -11 and -14
Step-by-step explanation:
Post in comments if u need step by step and Ill give to u :)
