Answer:
x=76
Step-by-step explanation:
The two marked angles are alternate angles, which means they're equal.
Step-by-step explanation:
Explanation:
The trick is to know about the basic idea of sequences and series and also knowing how i cycles.
The powers of i will result in either: i, −1, −i, or 1.
We can regroup i+i2+i3+⋯+i258+i259 into these categories.
We know that i=i5=i9 and so on. The same goes for the other powers of i.
So:
i+i2+i3+⋯+i258+i259
=(i+i5+⋯+i257)+(i2+i6+⋯+i258)+(i3+i7+⋯+i259)+(i4+i8+⋯+i256)
We know that within each of these groups, every term is the same, so we are just counting how much of these are repeating.
=65(i)+65(i2)+65(i3)+64(i4)
From here on out, it's pretty simple. You just evaluate the expression:
=65(i)+65(−1)+65(−i)+64(1)
=65i−65−65i+64
=−65+64
=−1
So,
i+i2+i3+⋯+i258+i259=-1
Recall that one whole is 1, or in this case since the denominator is 4, then 4/4 is 1 whole, so the whole lawn is 4/4.
Answer:
x<7
Step-by-step explanation:
4(5−2x)−3x>8x−113
−11x+20>8x−113
−11x+20−8x>8x−113−8x
−19x+20>−113
-20 -20
-19x>-113
/-19 /-19
(flip the sign)
x<7
i can't do the greater than or equal to sign so just remember to add that in :)
Based on my calculations, there are 2,820 seconds in 47 minutes.
