Answer:
21°
Step-by-step explanation:
<em>Dilation</em> is a similarity transformation. It does not change angles. It changes lengths proportionally.
∠A'B'C' ≅ ∠ABC = 21°
Answer:
d. r > 0, V(r) > 0
Step-by-step explanation:
The radius represent a measure of lenght and the volume a measure of space, and both, lenght and space, cannot be negative, so both have to be > 0
Answer:
Step-by-step explanation:
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75: 3 * 5 * 5
168: 2 * 2* 2 * 3 * 7
It's not really multiplication. It's more division.
Try 2800 as a sample. What you are trying to do is break this down into primes. The first prime is 2
2800/2 = 1400
1400 / 2 = 700
700 / 2 = 350
350 / 2 = 175. That's the end of what the 2s can do.
175 / 5 = 35
35/ 5 = 7 7 is a prime. You are done. Now run up the ladder.
2800: 2 * 2 * 2 * 2 * 5 * 5 * 7
75 is not an even number. It has no 2s. Go to 3
75 / 3 = 25.
25 / 5 = 5
That's the end
75: 3 * 5 * 5
Your calculator can be of great help. The rule is keep factoring until you get a decimal remainder. Move on to the next prime. Stop when the last division gives you a prime.
Answer:
- 6
Step-by-step explanation:
Hello,
1)
z=√3-i
==>ρ²=3+1=4==>ρ=2
arctg(√3/-1)=-60°
z=2∠-60°=2(cos(-60°)+i sin(-60°))
w=-2-2i
==>ρ²=4+4=8==>ρ=2√2
arctg(-2/-2)=45°
w=2√2∠45°=2√2(cos(45°)+i sin(45°))
2)
z²=(√3-i)²=3+1-2√3*i=4-2√3*i
3)w^4=(2√2∠45°)^4=(2√2)^4 ∠180° =-64+0i
You may use radian but i like more degree.