- The value of the n is 8.
- There are 7 positive integers between 100 and 200 which are divisible by 14.
<u>Step-by-step explanation:</u>
The sum of first n odd positive integer is n^2. The nth odd number is 2n-1.
i.e. 1 + 3 + ........+ (2n-1) = n^2.
1 + 3 +..........+ (2n-1) = 64
n^2 = 64
n = 8.
The positive integers between 100 and 200 which are divisible by 14 are 112, 126, 140, 154, 168, 182, 196. It is obtained by the multiples of 14 between 100 and 200.
100 = 7 * 14 + 2
200 = 14 * 14 + 4. The answer is 14 - 7 = 7
The seven numbers are
14 * 8 = 112
14 * 9 = 126
14 * 10 = 140
14 * 11 = 154
14 * 12 = 168
14 * 13 = 182
14 * 14 = 196
For this you would want to break this figure up with familar shapes. You can do two triangles and one big rectangle.
First triangle:
(3)(2)(1/2)= 3 feet squared
Second Triangle:
(3)(4)(1/2)= 6 feet squared
Rectangle:
(11)(3)= 33 feet squared
Now you add:
33+3+6= 42 feet squared
So, for this hole you will need 42 feet squared of outdoor carpet
Answer:
A)55
B)110
Step-by-step explanation:500 /11%=55
55*2=110