1.87741935484 to be exact
Answer:
1. 0.75 cm to 1 km
4. 0.3 mm to 40 m
Step-by-step explanation:
we have the scale
<u><em>Verify each case</em></u>
case 1) 0.75 cm to 1 km
therefore
The scale is equivalent to the given value
case 2) 1 cm to 12 km
therefore
The scale is not equivalent to the given value
case 3) 6 mm to 2 km
Remember that
1 cm= 10 mm
1 mm=0.1 cm
we have
therefore
The scale is not equivalent to the given value
case 4) 0.3 mm to 40 m
Remember that
1 cm= 10 mm -----> 1 mm=0.1 cm
1 km=1,000 m ----> 1 m=0.001 km
we have
therefore
The scale is equivalent to the given value
case 4) 1 inch to 7.62 km
Remember that
1 in= 2.54 cm
we have
therefore
The scale is not equivalent to the given value
Answer:
Step-by-step explanation:
1) we know that
Sally can paint the wall in 54 minutes
so
The 100% of the wall ------> she can paint in 54 minutes
by proportion
calculate how much is the percent of the work in 36 minutes
That means
Sally in 36 minutes can paint the 66.67% of the wall
2) Sally and Ethan work together, they can paint the wall in 36 minutes
so
Ethan in 36 minutes can paint (100%-66.67%)=33.33%
by proportion
Calculate how much time does it take for Ethan to paint the wall by herself
The largest number that 8c could be is -15
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region: