Answer:
sin(B) = 4/5
cos(B) = 3/5
tan (B) = 4/3
Step-by-step explanation:
soh cah toa
Answer:
x=3/22 ; y=-9/44
Step-by-step explanation:
1/2x+1/3=4
=>1/2x=4-1/3
=>1/2x=(12-1)/3
=>1/2x=11/3
=>22x=3
=>x=3/22....(1)
then,
3x+2y
2y=-3 . (3/22)
y=-9/44
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:

Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.