Answer:
The combination 9 mm, 6mm, 5mm will not form a triangle.
9 +6 = 15 > 5
6+5= 11 < 9
9+5 =14 > 6
Explanation :
because the side length of triangle does not obey triangle inequality theorem.
The triangle inequality theorem:
The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Answer:
A) I) 49 teams
II)63 teams
B) 28 teams
Step-by-step explanation:
A) a team of 5 boys and 6 Girls
=7C5+ 8C6
= 21+28
= 49 teams
a team of 6 boys and 5 girls
= 7C6 + 8C5
= 7+56
= 63 teams
B) one girl is kept constant already and a guy has injury
Girls remaining to choose from 7
Boys remaining to choose from 6
= 1 +7C5 + 6C5
= 1+21+6
= 28 teams
$27.79. First multiply the percentage as a decimal out of 100. Subtract that number from the original amount. Do the same thing with the number you got from subtracting(multiply by percentage then subtract from starting amount(the new one)) you end up with $27.79
Answer:
y = -3.5x - 12
Step-by-step explanation:
Find the slope with rise over run: (y2 - y1) / (x2 - x1)
Plug in the points:
(9 + 5) / (-6 + 2)
14/-4
= -3.5
Then, plug this and a point into the equation y = mx + b to find b:
y = mx + b
9 = -3.5(-6) + b
9 = 21 + b
-12 = b
Then, plug this and the slope into the equation again:
y = mx + b
y = -3.5x - 12 will be the equation
265.22 or 265 2/10 or 265 1/5
