5x+14y+8 is the simplified answer
Formula for the area of a circle:
A = πr² [A = area r = radius]
The radius is 
(half) the diameter. Since the diameter = 10cm, the radius = 5cm.
You know:
r = 5cm Substitute/plug this into the equation
A = πr²
A = π(5)²
A = 25π -> A = 25(3.14)
A = 78.5cm²
I)
Every 8.th voter gets a button:
so a sequence of the voters who receive a button is:
8, 16, 24, 32, .... that is 8*1, 8*2, 8*3, 8*4, .... in general: 8k for some integer k
ii)
Every 10.th voter gets a sticker, so the voters who receive stickers are the :
10, 20, 30, 40, .... voters that is 10*1, 10*2, 10*3, 10*4... in general 10t
for some integer t
iii) what we are looking for is the first number which is 8k and 10t at the same time.
8k=2*2*2k,
10t=2*5t
Thus this number must be divisible by 2*2*2*5*{some positive integer}
the smallest number is when the positive integer is 1, thus the number is
2*2*2*5=8*5=40
Answer: g. the 40th
Answer:
BF=16
Step-by-step explanation:
To find BF, (I will be calling it x) you need to use the equation
CF/FB=CE/EA Substitute
FB=x
24/x=18/12 cross multiply
18x=288 divide both sides by 18
x=16
FB=16
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Answer:
P(S=k) = (1/35)k
8/21
Step-by-step explanation:
P(S=k) is proportional to k
P(S=k) = ck
Total probability is 1
k = 2,3.... 8
Sum of all probabilities =
2c + 3c + 4c + 5c + 6c + 7c + 8c = 1
35c = 1
c = 1/35
P(S=k) = (1/35)k, where k = 2,3,...8
P(1&1):
P(S=2) = 2/35
P(2&2):
P(S=4)/3 = (1/3)(4/35) = 4/105
Because for S=4: (1,3) (2,2) (3,1) and all are equally likely
P(3&3):
P(S=6)/3 = (1/3)(6/35) = 2/35
Because for S=6: (2,4) (3,3) (4,2)
P(4&4):
P(S=8) = 8/35
P(getting doubles = 2/35 + 4/105 + 2/35 + 8/35 = 40/105 = 8/21
