Answer:
12,376.
Step-by-step explanation:
The order in which they are chosen does not matter so this is a combination NOT a permutation.
That is 17C11
= 17! / (11! 6!)
= (17*16*15*14*13*12) / (6*5*4*3*2*1)
= 12376.
These sides will form a triangle because the longest side (302) is less than the sum of the other 2 sides. http://www.1728.org/trianinq.htm
Using Heron's formula, we first have to determine the semi-perimeter of the triangle. (perimeter divided by 2)(240 + 121 + 302) / 2 = 331.50 = semi-perimeter (s)
Now, to use Heron's formula:area = square root (s • (s - a) • (s - b) • (s - c))area = square root (331.5 • (331.5 - a) • (331.5 - b) • (331.5 - c))area = square root (331.5 • (331.5 - 240) • (331.5 - 121) • (331.5 - 302))area = square root (331.5 • (331.5 - 240) • (331.5 - 121) • (331.5 - 302))area = square root (331.5 • (91.50) • (210.5) • (29.5))area = square root ( 188,355,689.44 )area = 13,724.27
Heron's formula is named after Hero of Alexendria, a Greek Engineer and Mathematician in 10 - 70 AD. You can use this formula to find the area of a triangle using the 3 side lengths.
Therefore, you do not have to rely on the formula for area that uses base and height. The picture below illustrates the general fro mu la where S represents the semi-perimeter of the triangle ,
Answer:
Answer ? = 9
Step-by-step explanation:
the commutative property of addition just means that when adding (say counting numbers) you can reverse the order. It won't matter how you do the addition. For example
5 + 9 = 9 + 5
Some number systems don't like that very much. So the number you put in for the question mark is 9.
Answer:
Step-by-step explanation: