Subtract 8r over so it becomes
-5q=3-8r
Then divide both sides by -5
q= (3-8r)/-5
Answer:
see explanation
Step-by-step explanation:
The sum of the exterior angles of a polygon = 360°
The exterior angle to interior angle is
exterior angle = 180° - 110° = 70°
Sum the exterior angles and equate to 360
x + 2x + 70 + 2x - 50 + x + 40 = 360 , that is
6x + 60 = 360 ( subtract 60 from both sides )
6x = 300 ( divide both sides by 6 )
x = 50
Then measure of exterior angles is
x = 50°
2x = 2 × 50 = 100°
x + 40 = 50 + 40 = 90°
2x - 50 = 2(50) - 50 = 100 - 50 = 50°
Answer: Good thing you provided the image!
Working down the columns:
C base= 2
D base = 4
C height =3
D height = 2
C area = bh = 8
D area = bh = 8
Step-by-step explanation:
Try thinking about drawing a rectangle around the entire image of C and D, connecting each of the corners (sort of like what is being done for B) and then you can perceive the b and h.
The trick to D is to turn your head 90 degrees (or sideways) so you can see those 4 boxes as the base.
For C the base is the 2 boxes, and going up until you meet the other parallel side you can count 4 boxes.
I usually default to using the side which I can easily count boxes as the base and go from there.
Answer:
Step-by-step explanation:
In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where
and filling in:
(notice we do not put the i in there with the 9).
so
r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:
so filling that in, we have:
Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is 
, so the polar form of that number is (18, 
)
45% of the math students taking Math 059 are males.
