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
That would be 3.5 b/c it can’t be expressed as a ratio or a simple fraction
My sister knows this stuff i will ask her for help
your welcome
and i have that same work i might be in your class im jennifer
Answer:
Amount invested = $15,000 (Approx.)
Step-by-step explanation:
Given:
Amount of interest received = $6,159
Rate of interest = 3.5%
Number of year = 10 year
Find;
Amount invested
Computation:
Using compound interest formula
I = P[(1+r)ⁿ - 1]
6,159 = Amount invested[(1+3.5%)¹⁰ - 1]
6,159 = Amount invested[(1+0.035)¹⁰ - 1]
6,159 = Amount invested[(1.035)¹⁰ - 1]
Amount invested = $15,000 (Approx.)
Answer:
12 
Step-by-step explanation:
The area of a triangle is 
. Here, b = 8, h = 3. So 8*3/2 = 12. The units is .
So the answer is 12 .
