Answer:
S = 15π = 47.12
length of arc S = 15π
Attached is the image of the arc.
Step-by-step explanation:
Given;
Radius arc r = 10
Angle at the center of arc ⍉ = 3π/2
The length of the arc S can be derived using the formula;
S = r × ⍉
Substituting the values;
S = 10 × 3π/2
S = 30π/2
S = 15π = 47.12
length of arc S = 15π
Answer:
4
Step-by-step explanation:
Given
, substitute the given values into the expression
= 
= 
= 
= 4
Let the total length of Ted's hike be L and the total time spent be T.
The time spent going down is t, and the time spent going up is t+40 (if t is measured in minutes) or t + 2 hr/3 (if t is measured in hours). Note that t + t + 2/3 must equal T, the total hiking time, with all measurerments in hours.
Distance uphill: L = (3 mph)(t+2/3) = Distance downhill: (5 mph)(t)
We need only find t, the am't of time req'd for Ted to go up to down.
3t + 2 = 5t, or 2 = 2t, or t = 1 (hour)
It will take Ted 1 hour to descend the hill and 1 2/3 hour to ascend the hill.
The total length of Ted's hike was then 2 2/3 hours, or 2 hours 40 minutes.
By the way, the distance in each direction is (5 mph)(1 hr) = 5 miles.
Answer:
141.218
Step-by-step explanation:
Answer:
$204.98
Step-by-step explanation:
407(1+0.06)^7
611.98
611.98-407
204.98
So it made $204.98
Hope this helps
