A=pR^2-2pr^2, since R=15 and r=7.5
A=225p-112.5p
A=112.5p
A≈353.25 ft^2
Answer:
Below.
Step-by-step explanation:
7P4
= 7! / (7-4)!
= 7*6*5*4*3*2*1 / ( 3*2*1)
= 7*6*5*4
= 840.
12C5
= 12! / (12-5)! 5!
= 12*11*10*9*8*7*6*5*4*3*2*1 / ( 7*6*5*4*3*2*1 * 5*4*3*2*1)
= 12*11*10*9*8 / 5*4*3*2*1
= 792.
Answer:
The final position of the ball is on the 16 yard line.
Step-by-step explanation:
The final position of the ball after the fourth play is given by the initial position, in this case the 27-yard line, followed by a succession of sums and subtractions depending on the outcome of each play. For gains we sum and for losses we subtract. So we have:
final position = 27 + 6 - 12 + 2 -7
final position = 27 - 11
final position = 16
The final position of the ball is on the 16 yard line.
Answer:
1. A rotation of 90°.
2. A reflection in the y-axis.
4. A translation of 3 units to the left.
Answer:
Constant of proportionality = 30
Example: r = 6, V = 5
Step-by-step explanation:
Inverse proportion: V*r = constant
Given r=3, V=10, constant = V*r = 30
Example:
r = 6, V = 30/6 = 5