Answer:
The horse travels 31 feet over an angle of
radians
Step-by-step explanation:
- The formula of the length of an arc is L =
× 2πr, where x is the central angle subtended by this arc and r is the radius of the circle - To change the angle from radian measure to degree measure multiply it by
∵ A carousel horse travels on a circular path
- That means the distance that the horse travels is the length
of an arc of the circular path
∵ The radius of the circular path is 15 feet
∴ r = 15 ft
∵ The horse travel over an angle of
radians
- Let us change it to degree by multiply it by 
∵
×
=
= 120°
- use the formula above to find the distance
∵ d =
× 2πr
∵ x = 120°
∴ d =
× 2π × 15
∴ d = 10π
∴ d = 31.41592654 feet
- Round it to the nearest foot
∴ d = 31 feet
The horse travels 31 feet over an angle of
radians
Answer:
See image
Step-by-step explanation:
When all x-coordinates are the same, the equation will always be:
x = [the given x-coordinate]
In this case, the given x-coordinate is 3, meaning the equation is x = 3. x = 3 on a graph looks like the image I attached.
Answer: B
Step-by-step explanation:
The question is asking for you to use the Pythagorean Theorem in order to find the length or line AB.
a^2+b^2=c^2
Since AB is what we are trying to find in this situation it is c. The graphic shown tells us that the length of line CA= (y2-y1) and CB= (x2-x1), these numbers represent a and b in the expression shown above. From here you should implement the information into the equation.
(x^2-x^1)^2+(y2-y1)^2= AB
The next step in finding the product would be to square both sides of the equation. In this case we only need to square the side with the calculation because the variable AB already represents the answer you would calculate. Which leaves us with the answer shown in the image below.
Yes they are functions
I hope this helped