12×4=48 , 68×12 is a much greater number.
Answer:

Step-by-step explanation:
Move
to the denominator in 
using the negative exponent rule 
Answer:
227750
Step-by-step explanation:
If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.
So, the rate of increase in population is
persons per year.
Now, we have to calculate the population of the town after an additional 5 years.
So, the population in 5 years will increase by (750 × 5) = 3750
Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)
To tessellate a surface using a regular polygon, the interior angle must be a sub-multiple (i.e. factor) of 360 degrees to cover completely the surface.
For a regular three-sided polygon, the interior angle is (180-360/3)=60 °
Since 6*60=360, so a regular three-sided polygon (equilateral triangle) tessellates.
For a regular four-sided polygon, the interior angle is (180-360/4)=90 °
Since 4*90=360, so a regular four-sided polygon (square) tessellates.
For a regular five-sided polygon, the interior angle is (180-360/5)=108 °
Since 360/108=3.33... (not an integer), so a regular five-sided polygon (pentagon) does NOT tessellate.
For a regular six-sided polygon, the interior angle is (180-360/6)=120 °
Since 3*120=360, so a regular six-sided polygon (hexagon) tessellates.
Answers:
- circle
- center
- radius
- chord
- diameter
- secant
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Explanations:
- Consider a campfire and people surrounding it to warm up. The fire itself is the center of the circle, and the people around it are points on the circle's edge. Assume that each person is the same distance away from the fire. Refer to the diagram below.
- We always refer to the circle name by the center point. Think of it being like at the center of the universe, or you could think how the sun is at the center of the solar system. While technically the planets orbit in ellipses and not perfect circles, this idea still could be useful to help remember the naming convention.
- If we go back to the example in part 1, the radius is the distance from the campfire to any given person. The radius is half the diameter.
- This is not to be confused with the spelling "cord" which refers to wiring used in electronics, or in fabric fibers. If we connected any two campers with a segment, then we formed a chord. Refer back to part 1 above. Any diameter is a chord, but not the other way around.
- The diameter is a special type of chord that goes through the center. Note the endpoints of the diameter are on the circle's edge.
- A secant line is basically a chord but we've extended both endpoints off infinitely in both directions. A secant cuts the circle at 2 different points. In contrast, a tangent line touches the circle at exactly one point only.
