Answer:
0.06km
Step-by-step explanation:
15÷1000=0.0015
0.0015×4=0.06
Answer:
d = 6+sqrt(42)=12.4807407
Step-by-step explanation:
h= -d² + 12d + 6
The ball is caught at ground level which means h=0
0 = -d² + 12d + 6
Subtract 6 from each side
-6 = -d^2 +12d
Factor out a - sign
-6 =-(d^2-12d)
Divide by -1
6 = d^2 -12 d
Complete the square
-12/2 = -6 then square it = 36
Add 36 to each side
6+36 = d^2 -12d +36
42 = (d-6)^2
Take the square root of each side
±sqrt(42) = sqrt( (d-6)^2)
±sqrt(42) = (d-6)
Add 6 to each side
6±sqrt(42) = (d-6)+6
6±sqrt(42) = d
d = 6+sqrt(42)=12.4807407
d =6- sqrt(42)=-.480740698
Since the distance cannot be negative
Answer: The director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.
Step-by-step explanation:
Given : The total number of singers auditioning for the school musical.= 12
The director wanted choose first a lead singer and then a stand-in for the lead singer.
We use Permutations here because order of selecting the singers matters.
The number of permutations of selecting r things out of n things = 
Similarly , the number of ways to select 2 singers in an order from 12 singers
Hence, the director can choose first a lead singer and then a stand-in for the lead singer in 132 ways.
Answer:
Correct Answer: The slope would be -0.5.
Step-by-step explanation:
You have to find the change in the y-coordinate and divide it by the change in the x-coordinate.
So it would be (1 - (-4)) = 5 for the change in Y. And it would be (-10 - 0) = -10 for the change in X. So the final slope would be 5 divided by -10, which would result in -0.5.
