9514 1404 393
Answer:
(A) -2018
(B) 5/36
Step-by-step explanation:
(A) The rate of change between any pair of terms in an arithmetic sequence is the same:
(a668 -a38)/(668 -38) = (a38 -a13)/(38 -13)
a668/630 = a38/630 +(a38 -a13)/25 . . . . add a38/630 to both sides
a668 = a38 +630/25(a38 -a13) = -128 +25.2(-128 -(-53)) = -128 -1890
a668 = -2018
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(B) The sum of an infinite geometric series is ...
S = a1/(1 -r) . . . . . . for first term a1 and common ratio r
We are given S = 6, a1 = 5, so we can find r to be ...
6 = 5/(1 -r)
1 -r = 5/6
1 -5/6 = r = 1/6
Then the 3rd term is ...
a3 = 5×(1/6)^(3 -1) = 5/36
Answer:
113.04square feet
Step-by-step explanation:
square root of 144 is 12
use it as the dimensions of the plot.
the flower gardens largest possible diameter is 12
so divide 12 by a half
6=radius
3.14 times 6squared
you get 113.04
Answer:
C
Step-by-step explanation:
To be a factor of 16 they need to be numbers that divide into it without remainders.
The correct answer is 120 degrees.
With the bigger triangle you can add all of the angles to get 60 degrees. (35+25)
This leaves you with a 120 degrees angle in the unmarked corner of the triangle. Any horizontal line and any triangle is 180 in total.
So with a 120 degree angle in the corner this leaves us with a 60 angle in the smaller triangle. ( The smaller triangle equals 60 degrees in all corners, it is equalateral ).
X is on a horizontal line and we now know that the one side of the line equals 60 degrees and any horizontal line equals 180 in total, this means that the measure of X is 120, (60+120)
X is 120 :)
Answer: Option 'A' is correct.
Step-by-step explanation :
Since we have given that
Number of medals = 2
Number of runners = 8
We need to find the number of ways to award the medals.
We would use "fundamental theorem of counting" to find the number of ways.
So, number of ways is given by
8 × 7 = 56
Hence, option 'A' is correct.
