Answer:
28
Step-by-step explanation:
It can be a one digit no.
_
2C1 = 2 (only two even options available)
It can be a 2 digit no.
_ _
The last digit has to be even for the no. to be even.
2C1 × 4C1 = 8 (2C1 for the last digit, 4C1 for the first)
It can be a 3 digit no.
_ _ _
First digit has to be less than 5 to be less than 500, and the last digit has to be even.
1) 2/4 _ 4
2C1 × 3C1 = 6 (2C1 to choose between 2 and 4, 3C1 for the second digit)
2) 1/3 _ 2/4
2C1 × 3C1 × 2C1 = 12 (2C1 to choose between 1 and 3, 3C1 for the second digit, 2C1 to choose between 2 and 4)
Total = 2 + 8 + (6 + 12)
= 28
Answer:
hello there!!!
tan (theta) = y / x
Substituting values we have:
tan (theta) = (4/5) / (3/5)
Rewriting we have:
tan (theta) = 4/3
Clearing theta:
theta = Atan (4/3)
theta = 53.13 degrees
Step-by-step explanation:
Answer:
x=14
Step-by-step explanation:
x-4=⅓(6x-54)
x-4=2x-18
x+14=2x
x=14
Answer: 1/6
Step-by-step explanation:
5/6 + -2/3
5/6 + -4/6
5 + -4/6 = 1/6
Decimal Form: 0.166667
Answer:
Step-by-step explanation:
slope of line through (6,-1) and (11,2) = (-1 - 2)/(6 - 11) = 3/5
slope of line through (5,-7) and (8,-2) = (-7 - (-2))/(8 - 5) = -5/3
product of the slopes = -1, so the lines are perpendicular.