Bill's original ratio is like this...
6 to 10
You need to solve for this...
x to 15
You have to multiply both sides of the original ratio by 15...
6 times 15 = 90
10 times 15 = 150
Your new ratio is 90 to 150
Which reduces to 3 to 5
Yout new ratio is 3 to 5
C. 8- 6i
(3- i) to the power of 2 (expand the expression)
9- 6 i + i to the power of 2
calculate
9 - 6i - 1
calculate
8- 6i.
Divide the actual building's measurements by the replica's measurements.

The measurements of the actual building are divided by
20 not 12.
The crew member's calculation is
incorrect.
Answer: sqrt(2)/2 which is choice D
======================================================
Explanation
(3pi/4) radians converts to 135 degrees after multiplying by the conversion factor (180/pi).
The angle 135 degrees is in quadrant 2. We subtract the angle 135 from 180 to find the reference angle
180-135 = 45
Then you can use a 45-45-90 triangle to determine that the ratio of opposite over hypotenuse is sqrt(2)/2
sine is positive in quadrant 2
------------
Alternatively, you can use a unit circle. Refer to the diagram below. In red, I've circled the angle 3pi/4 radians. The terminal point for this angle has a y coordinate of sqrt(2)/2
Recall that y = sin(theta).
Answer:
84
Step-by-step explanation:
68 + 100 = 168
168/2 = 84