3m^2+2p^2-15
3(3)^2+2(10)^2-15
3(9)+2(100)-15
21+200-15
206
Refer to the figure shown below.
We shall review each of the three given measurements and decide what type of triangle we have.
Measurement a.
a=3, b=4, c=5.
For a right triangle, c² = a² + b² (Pythagorean theorem)
a² + b² = 3² + 4² = 9 + 16 = 25
c² = 5² = 25
Answer:
This is a right triangle, because c² = a² + b².
Measurement b.
a=5, b=6, c=7.
For an acute triangle, c² < a² + b².
a² + b² = 5² + 6² = 25 + 36 = 61
c² = 7² = 49
Answer:
This is an acute triangle, because c² < a² + b².
Measurement c.
a=8, b=9, c=12.
For an obtuse triangle, c² > a² + b².
a² + b² = 8² + 9² = 64 + 81 = 145
c² = 12² = 144
Answer:
This is an acute triangle because c² < a² + b².
One less than twice a number is seventeen.
Numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9
probability that <span>both numbers are greater than 6 if the same number can be chosen twice.
3</span>² / 9² = 9/81 or 1/9
<span>the probability that both numbers are less than 7 if the same number can be chosen twice
6</span>² / 9² = 36/81 or 4/9
<span>the probability that both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice
3/9 * 2/8 = 6/72 or 1/12
</span><span>the probability that both numbers are even numbers if the same numbers cannot be chosen twice
4/9 * 3/9 = 12/81 or 4/27</span>