Answer:
4,600
Step-by-step explanation:
2+2+4= 8
4000 + 600 = 4,600
3x-6y=12
y=mx+b
-6y=-3x+12 <- divide by -6 to make y by itself
y=1/2x-2
The y-intercept is (0,-2)
x-intercept: put 0 in for y
0=1/2x-2
2=1/2x
x=4
(4,0)
Y intercept: (0,-2)
X-intercept (4,0)
Answer: 4) x° = 33.5°
5) x° = 31°
Step-by-step explanation: 4) It is supplementary i.e. the angle add up to 180° .
(4x+5)° +41° = 180°
4x+46 = 180°
4x = 180-46 = 134
4x = 134/4 = 33.5°
5) It is complementary i.e. angles add up to 90°
x°+(2x-3)° = 90°
3x - 3 = 90
3x = 93
x = 31°
Given in the problem is the diameter of the Ferris Wheel.
Thus, we can compute for the Ferris Wheel Circumference. This is the circular distance a single capsule attached to the wheel needs to do a full circle to.
Using 2 Step, we find the rate of how fast the capsule needs to be moving to complete 1 full cycle in 30 minutes.
1. Formula for computing the circumference
C = 2 x π x R
where R = Diameter divided by 2
C = 2π(120/2 )
C = 120π
2. Compute the rate or speed of the capsule / coach.
Rate or Speed = Distance to cover / Time it takes to cover
R/S = 120π/30 = 4π m/min or 12.57737 meters / min