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:
The volume of sphere = 268.08
Step-by-step explanation:
Below is the calculation for the volume of melon (sphere).
Given the diameter of the sphere is = 8 inches
Now find the radius by dividing the diameter by 2 = 8/2 = 4 inches
Now use the below formula to find the volume.
The volume of sphere = 
The volume of sphere = 268.08
Answer:
A) 15 cm B) 1292 cm^2
Step-by-step explanation:
A) height can be used by using Pythagoras theorem
Height^2+base^2=slant^2
height^2+8^2=17^2
height=15 cm
B) The amount of cardboard used can be found by calculating the area
Area=2*(area of triangle) + 3*(area of rectangles)
17*16+3*(20*17)=1292 cm^2
Answer:
C(3,3)
Step-by-step explanation: