The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
brainly.com/question/8402454
Given:
The height h of an object after t seconds is
The height of a neighboring 50-foot tall building is modeled by the equation h=50.
The time (t) when the object will be at the same height as the building is found to be t = –2 and t = 5.
To find:
The statement which describes the validity of these solutions.
Solution:
We have,
Here, t is the time in seconds.
For t=-2,
For t=5,
So, the value of h is 50 at t=-2 and t=5.
We know that time is always positive so it cannot be negative value. It means t=-2 is not possible.
The solution t = 5 is the only valid solution to this system since time cannot be negative.
Therefore, the correct option is C.
<h3>
Answer: 97/112</h3>
================================================
How to get this answer:
Midpoint formula: (A+B)/2 = C
A and B are the endpoints with C as the midpoint
A = 7/8
B = 6/7
A+B = 7/8 + 6/7
A+B = 49/56 + 48/56
A+B = (49+48)/56
A+B = 97/56
(A+B)/2 = (97/56) divided by 2
(A+B)/2 = (97/56) times (1/2)
(A+B)/2 = (97*1)/(56*2)
(A+B)/2 = 97/112
Answer:
apprx. 8.06
Step-by-step explanation:
I hope this helps :)
