Answer:
Isosceles
Step-by-step explanation:
Numbers starting with a 1 and followed by only 0s (such 10, 100, 1,000,10,000, and so forth) are called powers of ten, and they're easy to represent as "exponents". Powers of ten are the result of multiplying 10 times itself any number of times.
Answer:
b=-5
Step-by-step explanation:
Divide by -9 to eliminate the -9 on -9b
(Since -9b is the same thing as -9 times b we can use the inverse of multiplication which is division to eliminate the -9 from b but we need to do it on both sides to make it balance)
-9b/-9=45/-9
b=-5
9514 1404 393
Answer:
30.25π square inches
Step-by-step explanation:
You can use the formula for area in terms of circumference:
A = C²/(4π)
A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches
_____
You may be expected to find the radius first:
C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches
Then use the area formula:
A = πr² = π(5.5 in)² = 30.25π in²
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
