Hello,
A)
cos 135°=- cos 45°=-√2/2
sin 135°=sin45°=√2/2
2(cos 135°+i sin 135°)=-√2 + i*√2
B)
cos 120°=-cos 30°=-√3 /2
sin 120°=sin 30°=1/2
3(cos 120° + i sin 120)=-3/2*√3 +i*3/2
C)
cos (5π/4)=-cos (π/4)=-√2 /2
sin (5π/4)= -sin(π/4)=-√2 /2
5(cos (5π/4)+i sin (5π/4))=-5/2*√2 +i *5/2*√2
D)
cos(5π/3)=cos(π/3)=√3 /2
sin (5π/3)=-sin(π/3)=-1/2
4(cos(5pi/3)+i sin (5pi/3))
=2√3- 2*i
Answer: 45,280
Step-by-step explanation:
566 * 80 = 45,280
Answer:
3 3/7 minutes
Step-by-step explanation:
This calculated using the formula:
1/x + 1/y = 1/n
Where
x = Number of minutes it took Ann to walk = 6 minutes
y = Number of minutes it took Alek to walk = 8 minutes
n = Number of minutes it would take An and Alek to reach the starting point at the same time
1/6 + 1/8 = 1/n
Lowest Common Denominator = 24
4 + 3/24 = 1/n
7/24 = 1/n
Cross Multiply
7n = 24
n = 24/7
n = 3 3/7 minutes
It would take them 3 3/7 minutes to reach the starting point at the same time.
Answer:
how can someone solve dis?
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (- 2, 3) and r = 3 , then
(x + 2)² + (y - 3)² = 9 ← expand left side using FOIL
x² + 4x + 4 + y² - 6y + 9 = 9 ( subtract 9 from both sides )
x² + y² + 4x - 6y + 4 = 0 → A
