Step-by-step explanation:
Answer:
1,007,760
Step-by-step explanation:
This is a question that bothers on selection
Using the combination formula
nCr = n!/(n-r)!r!
20C12 = 20!/(20-12)!12!
20C12 = 20!/8!12!
20C12 = 20*19*18*17*16*15*14*13*12!/8!12!
20C12 = 20*19*18*17*16*15*14*13/8!
20C12 = 20*19*18*17*16*15*14*13/8*7*6*5*4*3*2
20C12 = 5,079,110,400/5040
20C12 = 1,007,760
Hence this can be done 1,007,760 different ways
Answer:
it is a negative linear function
the equation for it is y = -3x + 5
the slope is -3
the y-intercept is 5
Answer:
7.38m
Step-by-step explanation:
Assume the center of ferris wheel is 13 m from ground
<span>h = elevation of rider </span>
<span>A = angle of elevation of rider with respect to center of ferris wheel </span>
<span>dA/dt = 2pi/2 = pi rads/min </span>
<span>h = 13sin(A) + 13 </span>
<span>dh/dt = 13cos(A)dA/dt </span>
<span>when h = 18 m </span>
<span>18 = 13sin(A) + 13 </span>
<span>sin(A) = 5/13 </span>
<span>cos(A) = sqrt(1 - (5/13)^2) </span>
<span>cos(A) = 12/13 </span>
<span>dh/dt = 13*12/13*pi </span>
<span>dh/dt = 12pi m/min</span>
