Answer: circumference of the circle is 11.31 meters
C=\pi d\\C=\pi (2r)\\C=2\pi r
Where radius (r) is half of diameter (d)
Since radius of the circle shown in 1.8m, we plug it in the formula and get:
C=2\pi r\\C=2\pi (1.8)\\C=11.31
So C = 11.31 meters
We will use the Cosine rule ( graph is in the attachment ):
c - the displacement
Angle: 90° + 45° = 135°
c² = a² + b² - 2 ab cos 135°
c² = 98² + 225² - 2 · 98 · 225 · ( -0.7071 )
c² = 9,604 + 50,625 + 31,183.11
c² = 91,412.11
c = √ 91,412.11
c = 302.344 km
<span>ok
first things first. In all parallelograms, you now that opposite angles
are numerically equal to each other and that the sum off all four
angles must add up to 360.
Therefore based off the picture, angles B and D are equal to each other, and A and C are equal to each other.
(2x-10) = (y+20) B = D
y=2x-30
Now B = 2x -10 and D = 2x-30+20 = 2x-10
Now A = C
Since A = 2x+ 10, we can assume C = 2x + 10
Now we need to find the value of x
so our angle A, B, C, and D add up to 360 so the "master equation" is:
(2x - 10) + (2x - 30 + 20) + (2x + 10) + (2x + 10) = 360
2(2x -10) + 2(2x + 10) = 360
4x - 20 + 4x + 20 = 360
8x = 360
x = 45
Now that we know what x is, we can go back to the angles B and D
remember B = 2x - 10 and D = y + 20
and earlier we stated that y=2x-30
therefore y = 2(45) - 30
Y = 60
Now if you wanted to double check, all you have to do is plug in the x
and y values into the equations and add up all the angles together and
they should add up to 360.
I know I kinda went into too many details, but I'd rather explain it
into too much detail rather than too few details and shortcuts that you
wouldn't be able to follow and understand.
I hope this was helpful =D </span>
Answer:
5 units.
Step-by-step explanation:
The polygon A'B'C'D' is created after translating the polygon ABCD.
Now, we know that the distance that each point moves after translation will be the same.
Now, we have to determine the distance between points A(1,5) and A'(-2,1).
Therefore the distance AA' will be given by
units.
Hence, the distance between the points B and B' will be 5 units. (Answer)
Answer:hold up
Step-by-step explanation: