(9,40,41) is a Pythagorean Triple, farther down the list than teachers usually venture.
Answer: D. 41 cm
There's a subset of Pythagorean Triples where the long leg is one less than the hypotenuse,
a^2+b^2 = (b+1)^2
a^2 + b^2 = b^2 + 2b +1
a^2=2b+1
So we get one for every odd number, since the square of an odd number is odd and the square of an even number is even.
b = (a^2 - 1)/2
a=3, b=(3^2-1)/2=4, c=b+1=5
a=5, b=(5^2-1)/2 =12, c = 13
a=7, b=24, c=25
a=9, b=40, c=41
a=11, b=60, c=61
a=13, b=84, c=85
It's good to be able to recognize Pythagorean Triples when we see them.
Otherwise we'd have to work the calculator:
√(9² + 40²) = √1681 = 41
A number 1/10 as great as 7962 would be 796.2
You get this answer by either dividing 7,962 with 10 which gives you 769.2
Or you can multiply 7,962 with 1/10 to get 7,962/10. If you simplify then you get 796 1/5 or 796.2.
Answer:
Therefore
..Equation is used to find mArc MN
Step-by-step explanation:
Given:
Circle O,
Segment MP is a diameter of circle O.
Line segment N O is a radius.
∠NOP = 150°
To Find:
Equation for m Arc MN = ?
Solution:
We know Diameter subtends 180° as it is the half of Circle 360°
∠NOP = 150° ...Given
∴ m(Arc NP) = 150° ......measure of arc is the measure of its central angle
Therefore,
m Arc Diameter = 180°
Addition Property
Substituting the values we get
......As required
Therefore
..Equation is used to find mArc MN
