Answer:
a. θ = 6t
b. 1.048 minutes
c. y = 54sin(6t)
Step-by-step explanation:
diameter d = 108 foot
distance above the ground = 58 feet
a.) expression to represent number of radians
radian = 6 rad/min
θ = wt
w = 6
θ = 6t
t is in minutes
b.) we are to find the time period for one full revolution
time period = 2π/6
π = 22/7
![T=\frac{2(22/7)}{6}](https://tex.z-dn.net/?f=T%3D%5Cfrac%7B2%2822%2F7%29%7D%7B6%7D)
= 1.048 minutes
c. Expression showing Justins height above the ground
y = rsinθ -----(1)
θ = wt = 6t
we find the radius r
diameter = 2 * radius
108 = 2r
r = 108/2
= 54 foot
we put these values in the equation 1 above
y = 54sin(6t)
Answer:
C is the answer
Step-by-step explanation:
If you graph them on a line the outcome will be a straight line making it functional and a proportion
Answer: Right ,vertical, supplementary
Step-by-step explanation:In the given figure the two rays are perpendicular.A line is said to be perpendicular to another line if the two lines intersect at a right angle.Thus <1 and <2 are Right angles.
The opposite angles formed by two intersecting lines are called vertical angles.<1 and <2 are on opposite sides of the two rays and hence form vertical angles.
The angles made at the intersection of the two rays are 90 degrees .So the sum of angles 1 and angle 2= 90+90=180 degrees.When two angles add to 180 degrees they are called supplementary angles .
Hence <1 and <2 are Right ,vertical, supplementary angles.
Answer:
- b
- f
- e
- c
- h
- d
- g
- a
Step-by-step explanation:
< or > will give you an open dot which means it is not filled in.
≤ or ≥ will give you a closed dot which means it is filled in.
So for example number one:
x > 0 translated is x is greater than zero.
So look on the number line for an open dot on zero going toward the left (the side where the numbers get smaller). The rest are self explanatory.
You need to sole for o and you will get x4 and the graph