Answer:
c
Step-by-step explanation:
the ratio is 2/8.
2/8 = 1/4.
a)
8/20 = 2/5 is NOT equal to 1/4.
b)
12/45 = 4/15 is NOT equal to 1/4
c)
6/24 = 1/4 perfect
d)
2/40 = 1/20 is NOT equal to 1/4
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
Answer:
x=4
Step-by-step explanation:
9=1/4 (6x+12)
Multiply each side by 4
4*9 =4*1/4 (6x+12)
36 = (6x+12)
Subtract 12 from each side
36-12 = 6x+12-12
24 = 6x
Divide each side by 6
24/6 = 6x/6
4 =x
Answer: option c. 60.4 feet.
Make a right triangle where,
Hypotenuse = distance from her hands to the kite
Opposed leg = Height of the kite - holding height = 35 feet - 3 feet = 32 feet
Adjacent leg = horizontal distance from the point directly below the kite to Kendra's hand.
Angles: elevation angle from her hands = depression angle from the kite = 32°.
Relations: sin (32°) = opposed leg / hypotenuse =>
hypotenuse = opposed leg / sin (32) = 32 feet / sin(32) = 60.4 feet
