Answer:
7 girls can go in the first place, 6 in the second, etc.
7! ways is the number of ways to arrange the girls.
likewise the boys can be arranged in 7! ways
The total number of ways becomes 7! * 7!
7! * 7! = 25,401 600 ways
Answer:
36.89°
Step-by-step explanation:
tan x = 15/20=3/4
x = 36.89
Answer:
$478
Step-by-step explanation:
After 20 years, William will have a total of $3,513.94
After 20 years, Nolan will have a total of $3,991.93
Difference = $478
William:
2300[1 + (.02125 ÷ 4)]^4 · 20
2300 · (1 + .0053125)^80
2300(1.5278)
$3,513.94
Nolan:
2300[1 + (.0275 ÷ 12)]^12 · 20
2300 · (1 + .0023)^240
2300(1.7356)
$3,991.93
Answer:
The angle is
.
Step-by-step explanation:
The building is 35 feet tall, and the rope is 400 feet long.Applying the trigonometric function, we have;
Sin θ = 
The height of the building represents the opposite side, while the length of the rope represents the hypotenuse. Thus;
Sin θ = 
Sin θ = 0.0875
θ =
0.0875
= 
The angle made by the rope with respect to the ground is approximately
.