Is the equivalent of the value of p most of a hypothetical answer.
Due to the circular shape, one complete rotation of the flag is equal to the circumference of a circle with radius 12 ft.
Then, use the following formula for the cirumference:
C = 2π·r
where r is the radius. In this case, r = 12 ft and π = 3.14. Replace the previous values into the formula for C:
C = 2(3.14)(12 ft)
C = 75.36 ft
Hence, the flag has to travel 75.36 ft to complete a full rotation
Use substitution.
2p + 3(2p) = 680
2p + 6p = 680
8p = 680
p = 85
Plug in.
x = 2p
x = 2(85)
x = 170
p = 85
Let
P1 = (x1, y1) = (4, 7)
P2 = (x2, y2) = (2, 3)
The first thing to do in this case is to find the distance between two points by the following equation:
d (P1, P2) = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
d (P1, P2) = root ((2-4) ^ 2 + (3-7) ^ 2) = 4.47
answer
The houses are separated 4.47 units.
Answer:
it took her 54 mins to finish her walk.
Step-by-step explanation:
Given;
total distance walked by Katie, d = ⁵/₆
time taken to walk ¹/₆ mile = 10 mins
break time = 1 min
There are five ¹/₆ mile in the total distance which is ⁵/₆ miles.
Time for the first ¹/₆ mile = 10 mins +
break time = 1 min
Time for the second ¹/₆ mile = 10 mins +
break time = 1 min
Time for the third ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fourth ¹/₆ mile = 10 mins +
break time = 1 min
Time for the fifth ¹/₆ mile = 10 mins
Total time = 5 (10 mins) + 4 (1 min)
= 50 mins + 4mins
= 54 mins
Therefore, it took her 54 mins to finish her walk.