Answer:
Step-by-step explanation:
- Let the speed of the boat = b and the speed of the current = c
<u>Equations to reflect time, time = distance/speed:</u>
- 80/(b + c)= 5 ⇒ b - c = 80/5 ⇒ b + c = 16
- 80/(b - c) = 10 ⇒ b - c = 80/10 ⇒ b - c = 8
<u>Sum of the 2 equations above</u>
- b + c + b - c = 16 + 8
- 2b = 24
- b = 12
- c = 16 - 12 = 4
So the speed of the boat is 12 mph
The speed of the current is 4 mph
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the length and y represent the width. Hence:
There is 48 feet of fencing:
x + 2y = 48
x = 48 - 2y (1)
The area (A) is:
A = xy = y(48 - 2y)
A = 48y - 2y²
The maximum area is at A' = 0, hence:
48 - 4y = 0
y = 12
x = 48 - 2(12) = 24
The maximum area of the rectangular path is when the length is 24 feet and the width is 12 feet.
Find out more on equation at: brainly.com/question/2972832
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Answer:
- Area of section is 981 square feet
Step-by-step explanation:
<h3>Given trapezoid with:</h3>
- Bases 57 feet and 52 feet;
- Height 18 feet.
<h3>To find</h3>
<h3>Solution</h3>
Equation of area:
Substitute values and calculate:
- A = (57 + 52)*18/2 = 109*9 = 981 ft²
Answer:
8.695=area of shaded region
Step-by-step explanation:
pi x 16=50.265
this is the whole circle
the radius is also the side of the hexagon
the picture is formula for area of hexagon
if you replace a by the side which is 4
the answer is 41.57
50.265-41.57=8.695
