Let r(cos O + i sin O) be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3 = 125(cos 288 + i sin 28)
so r^3 = 125 and cos 3O + i sin 3O = cos 288 + i sin 288
so r = 5 and 3O = 288 + 360p and O = 96 + 120p
so one cube root is 5 (cos 96 + i sin 96)
Im a little rusty at this stuff Its been a long time.
Im not sure of the other 2 roots
sorry cant help you any more
Answer:
Lines stay parallel or overlap
Step-by-step explanation:
AB and CD are parallel lines
Rotation around a point 90 degrees clockwise will make these lines perpendicular to their initial position but AB and CD will still be parallel to each other
They will overlap if the distance between them and point E is equal
Their initial slope is same and equal to m
Their final slope will be -1/m as a result of 90 degrees rotation
The old photocopier can make x manuals in an hour. The new photocopier can make 4x. Combined, they made 5x manuals in an hour.
In one hour they can make 1/28 of the manuals.
1/(28*5)=1/140 is the rate.
The new photocopier can make all the manuals in 4/140 or 35 hours.
The old one can make them in 140 hours.
Answer:
Step-by-step explanation:
Alright, lets get started.
The surface area of the figure given is : The area of all shapes together
The figure has 2 similar triangles and 3 similar rectangles.
The area of 1 triangle =
The area of 1 triangle = 
So, the area of both triangles = 
The area of 1 rectangle = 
The of 1 rectangle = 
So, the area of all 3 rectangles = 
So, total area of figure = 
hence the surface area is 536.6 square centimeters : Answer
Hope it will help :)
Answer:
A.
Step-by-step explanation:
8x3(y+1)
is the answer of the question
