Answer:
The tip of the minute hand move in 24 hours is 150.85 inches.
Step-by-step explanation:
Given : The minute hand of a clock is six (6) inches long.
To find : How far does the tip of the minute hand move in 24 hours?
Solution :
We know that,
1 hour = 60 minute
24 hour =
The angle form is .
The radius is r=6 inches
Using length of arc formula,
Therefore, the tip of the minute hand move in 24 hours is 150.85 inches.
Answer:
Total number of pages is 540.
Step-by-step explanation:
Let mark read x be he number of pages per day and d be the number of days to finish the book.
Total number of pages = xd
Mark reads 18 pages less per day than originally planned, he will need 5 extra days to finish the book.
.... (1)
He reads 24 pages less per day, he will need 8 extra days to finish.
... (2)
Subtract 5 times of equation (2) from equation (1).
Substitute d=10 in equation (1).
Divide both sides by 5.
Total number of pages
Therefore , the total number of pages is 540.
Answer:
9
Step-by-step explanation:
Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.
f(5) = 18
f(6) = ?
=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k
Where, h and k are the given vertex of the function = (1, 2).
h = 1, k = 2
Thus,
f(x) = a(x - 1)² + 2
Find the value of a by using any of the points given in the table.
Using (3, 6), we have the following,
6 = a(3 - 1)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides
6 - 2 = 4a
4 = 4a
Divide both sides by 4
1 = a
a = 1
Let's find f(6) using f(x) = a(x - 1)² + 2
Plug the value of a and x
f(6) = 1(6 - 1)² + 2
f(6) = 25 + 2
f(6) = 27
==>Find the rate of change/slope
f(5) = 18
f(6) = 27
Rate of change =
Rate of change = 9