Answer:
C) 6 feet
Step-by-step explanation:
set up a proportion of height/shadow = height/shadow
30/10 = h/2
cross-multiply:
10h = 60
h = 6
Your answer would be B and C
Answer:
y=-1/3x-6.. .. .. .. .. ..
For number 1 A: 2,8 B: 1,3 C: 6,6 D: 4,0 E: 8,2 for number 2 A: 7,9 B: 9,7 C: 0,6 D: 3,8 E: 7,5
You can get the tens digit of any number <em>n</em> by computing the quotient
(<em>n</em> (mod 100)) / 10
and ignoring the remainder.
Taking the given sum (mod 100) gives
7! + 8! + … + 2006! ≡ 7! + 8! + 9! (mod 100)
since the last 1997 terms (i.e. 10! up to 2006!) in the sum are multiples of 100. That is,
• every term beyond 100! is obviously a multiple of 100
• every term beyond 25! contains a factor of both 4 and 25
• every term beyond 10! contains two factors each of both 2 and 5 (i.e. every factorial term contains 4, 5, and 10)
The remaining sum is easy to compute by hand:
7! + 8! + 9! = 7! (1 + 8 + 8 × 9) = 5040 × 81 = 408,240
so the tens digit is 4.
