Answer:
x=0, yes.
Step-by-step explanation:
3x+8=5x+8
5x-3x+8=8
2x+8=8
2x=8-8
2x=0
x=0/2
x=0
Answer:
30
Step-by-step explanation:
A triangle has a total degree of 180. We already have 150(from the 60 and the right angle) 180-150 is 30
Answer:
We can use a trick here. Let's look at the first few exponents of i to realize this:
i^0 = 1
i^1 = i
i^2= -1
i^3 = -i
i^4 = 1
i^5 = i
i^6 = -1
i^7 = -i
we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.
Step-by-step explanation:
Answer:
b) 200 square inches
Step-by-step explanation:
Area of a pentagon: A = 1/2 * 5(side)(apothem).
- side: b = 10in
- apothem: a = 8 in
A = 1/2 * 5(side)(apothem).
A = 1/2 * 5(10)(8).
A = 1/2 * 5(80).
A = 1/2 * 400
A = 200 square inches
A= P(1 + r) n (n to the power of)
<span>A= final balance </span>
<span>P= initial quantity </span>
<span>n= number of compounding periods </span>
<span>r= percentage interest rate </span>
<span>P= $200 </span>
<span>n= 9 years </span>
<span>r= 5%= 0.05 </span>
<span>=$200 (1 + 0.05)9 (power of) </span>
<span>=$310.26</span>