Answer:
66ft^2
Step-by-step explanation:
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
Answer:
Examine this system of linear equations.
y – 3x = –2,
y = 4
Which is a solution of the system of equations?
(0, 4)
(2, 2)
(2, 4)=this is the correct answer
(4, 2)
Step-by-step explanation:
thats the answer
(2,4)
Answer:
its (-1/2,-5/2),(2,5)
Step-by-step explanation:
Substitute 2x2−3 for y into y=3x−1then solve for x.
The area is 70in^2 because you find the area of the square without the missing piece then subtract area of missing piece from total
