Given expression is 35, 36, 37, 38...
First term a = 35
Common difference d = 36-35 = 1
Nth term of arithmetic sequence is:
To find the 100th term, substitute n = 100
Correct option is B
First, find common denominators. The smallest common denominator is 12. Multiply 4 to numerator and denominator for -9/3 to get it over 12
(-9/3)(4/4) = -36/12
- 5/12 - (-36/12)
Simplify. Note that when there are two negatives, it becomes a positive
- (-36/12) = + 36/12
-5/12 + 36/12 = 31/12
31/12 is your improper fraction answer.
Simplify. Change it into mixed fraction.
31/12 = 2 7/12
2 7/12 is your mixed fraction answer.
hope this helps
Answer:
d
Step-by-step explanation:
The length of the last side is 13.416, I am not sure what you need to round your numbers to but you can round it to whatever you teacher wants.
Work shown in picture
Convert decimal to fraction
a^2+(21/10)^2=2.9
Use exponent rules
a^2+441/100=2.9
Move constant to the right
a^2=2.9-441/100
Calculate
a^2=-151/100
This equation has no solution.