Scale factor shows by how much the original model has been multiplied or divided by to get the measurements of the drawing .
In this case the ladybug is 8 mm long but drawing length is 2 cm.
Let’s convert both into the same units
2 cm -20 mm
Original - 8 mm
Painting -20mm
X - scale factor
20 = X * 8
X = 20/8 = 2.5
The ladybug has been multiplied/ enlarged by a scale factor of 2.5 to draw the painting
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
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Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Just use a calculator lol light work? =4
Since |1-4x|>7 it can also be 1-4x<-7
so you get 1-4x>7 then get the x by its self -4x>7 then you make the x positive. multiply by -1 so you switch the sign 4x<7 divid by 4 and you get x<7/4 now you go on to the other equation 1-4x<-7 you get the x by itself and get -4x<-8 and multiply by -1 to get a positive number so you swith the sign 4x>8 so you didid by 4 and get x>2 so you get an interval notation of (-infinity,7/4) u (2,+infinity)
the |5x-1|<1 interval notation is (-2/5 ,0)
Answer:
53
Step-by-step explanation:
