Answer:29
so the mini triangle in the corner is a mini model of the entire triangle, all you have to do is take the width or bottom number and find the factor in which it is smaller, then take the height of the smaller triangle and add the factor in which it increases to it. so the factor goes up by 31 1/2--9=22 1/2 and adding the factor in which it increases to the height is 22 1/2+6 1/2=29 because 2 halfs make a whole.
Step-by-step explanation:
mr clean has big brien 0-0
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:
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The sum is 12x3+18x2-10x+8
Answer:
Hand sanitizer=135 bottles
Bar soap=83 bottles
Step-by-step explanation:
Let x represent the hand sanitizer and y the sop.
-Our problem can be expressed as:
#Make x the subject in i then substitute in ii to solve;
Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.
Answer:
7/12
Step-by-step explanation:
