Because the triangle is only rotated, AB and A'B' would be equal. 8 in.
The expression is:
Why?
From the statement we know that the spaceship travels 3 times faster each minute that it traveled during the minute before, it can be expressed using an exponential function, its base will be the starting speed (during the first minute).
The expression will be:
Have a nice day!
Step-by-step explanation:
65 + (y + 9) = 180 ---------- Sum of angles on a
straight line
y + 65 + 9 = 180
y + 74 = 180
y = 180 - 74 = 106
6x + 7 = y + 9 ----------- Alternate angles
But y = 106,
6x + 7 = 106 + 9
6x = 115 - 7
x = 108/6 = 18
Answer:
there are 4725 different ways to pick the 11 players
Step-by-step explanation:
assuming that a player can only play from its position and not from the other 2 , then each defensive position is independent from the others , and since the order each player is chosen is not relevant we have that:
total combinations = possible combinations of linemen * possible combinations of linebackers * possible combinations of defensive backs = combinations of 5 linemen from 7 * combinations of 4 linebackers from 6 * combinations of 2 defensive backs from 6 = [ 7!/(5!*(7-5)!] * [ 6!/(4!*(6-4)!] * [ 6!/(2!*(6-2)!] = 7!/(2!*5!)*[ 6!/(4!*2!)]² = 4725 combinations
thus there are 4725 different ways to pick the 11 players
