.35 as a percentage would be 35%.
.35 = 35 / 100 as a fraction
<span>If two lines are parallel, they do not intersect -- this one is true. the definition of parallel lines prevents these lines from crossing one another, because at that point they would no longer be parallel. parallel lines never touch.
If two lines do not intersect, then they are parallel -- not necessarily. skew lines are the exception here. you probably won't touch on it at your current level of math, but lines exist in higher dimensions than the second (third dimension, fourth dimension, etc) that prevent this from being necessarily true. if your class is ONLY related to two-dimensional geometry and your teacher doesn't want you to consider higher dimensions, then there's no reason to use this answer; the statement would be true.
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Answer:
karen walked a total of 12 and 1/30 miles.
Step-by-step explanation:
5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9. So the answer in 9 yards
Answer:
A) Radius: 3.44 cm.
Height: 6.88 cm.
B) Radius: 2.73 cm.
Height: 10.92 cm.
Step-by-step explanation:
We have to solve a optimization problem with constraints. The surface area has to be minimized, restrained to a fixed volumen.
a) We can express the volume of the soda can as:
This is the constraint.
The function we want to minimize is the surface, and it can be expressed as:
To solve this, we can express h in function of r:
And replace it in the surface equation
To optimize the function, we derive and equal to zero
The radius that minimizes the surface is r=3.44 cm.
The height is then
The height that minimizes the surface is h=6.88 cm.
b) The new equation for the real surface is:
We derive and equal to zero
The radius that minimizes the real surface is r=2.73 cm.
The height is then
The height that minimizes the real surface is h=10.92 cm.