In geometry, the tangent line (or simply tangent) to a plane curve at a given point is the straight line that "just touches" the curve at that point. Leibniz defined it as the line through a pair of infinitely close points on the curve
let
r--------> Alvin's average paddling rate in km/hour
y -------> speed of the current
in km/hour
we know that
speed= distance/time
------> solve for distance
distance=speed*time
to Campsite against the current
speed=r-y-----> speed=(r-3)
time=8 hours
distance=(r-3)*8------> equation 2
From Campsite with the current
speed=r+y-----> speed=(r+3)
time=3 hours
distance=(r+3)*3------> equation 1
equate equation 1 and equation 2-----> because is the same distance
(r+3)*3=(r-3)*8----> 3r+9=8r-24----> 8r-3r=24+9-----> 5r=33----> r=6.6 km/hour
therefore
the answer is
Alvin's average paddling rate is 6.6 km/hour
Answer is D.) 48π ft²
Given:
3 circular rugs.
radius: 4 ft
Area of a circle = π r²
A = 3.14 * (4ft)²
A = 3.14 * 16ft²
A = 50.24 ft²
Total area of 3 rugs
50.24 ft² * 3 rugs = 150.72 ft²
Equation leaving π.
150.72ft² ÷ 3.14 = 48ft²
D.) 48π ft²
Answer:
8:50 A.M
Step-by-step explanation:
You have to add all the numbers.
Example:
5+15+25=45
45 Minutes + 5 Minutes= 50 Minutes=
8:50 A.M