Answer: Assuming the riders starts at the position (20, 0) on the x-axis, the exact position of the rider will be (20cos75, 20sin75) or about (5.18, 19.32).
The angle for 5pi/12 radians is 75 degrees. Therefore, to find the position we can use the sine and cosine of 75 to find the x and y value of the coordinate.
For the y-value, we can write and solve:
sin75 = x/20
For the x-value, we can write and solve:
cos75 = x/20
Answer:
Point C: (4, 0)
Step-by-step explanation:
Parallelograms are quadrilaterals with two pairs of parallel sides, this means they will have the same slope between two line segments.
point slope form between two points: y - y1 = m (x - x1)
point A (2, 6) and D (4,4):
slope: point form, 6 - 4 = m(2 - 4)
2 = -2m
m (slope) = 
= 
now that you know the change in position, apply this to vertice B to get the position of the final vertice.
B(2, 2)
C (2 +2, 2-2) = C(4, 0)
The final position of C vertice for parrallelogram A(2,6), B(2,2), D(4,4) will be C(4,0)
100000+200000=300000
28x=300000
X=10714
They would need to make $10714 a night
Answer:
2009cm^2
Step-by-step explanation:
Given data
let the length be L
and the width be w
so
w= x
L=x+8
P= 180cm
P= 2L+2W
180= 2(x+8)+2(x)
180= 2x+16+2x
collect like terms
180= 4x+16
180-16= 4x
164= 4x
x= 164/4
x=41
W= 41cm
L= 41+8
L= 49cm
A= L*W
A=49*41
A=2009cm^2
Hence the area is 2009cm^2
