Answer:
B and C
Step-by-step explanation:
The 2 smallest numbers have to add up to be bigger then the largest number in the set for it to be a triangle! I hope this helps!
Answer:
Answer:
y=
d−4
/c+9
Step-by-step explanation:
cy+4=d−9y
Step 1: Add 9y to both sides.
cy+4+9y=d−9y+9y
cy+9y+4=d
Step 2: Add -4 to both sides.
cy+9y+4+−4=d+−4
cy+9y=d−4
Step 3: Factor out variable y.
y(c+9)=d−4
Step 4: Divide both sides by c+9.
y(c+9) c+9
=
d−4
/c+9
y=
d−4
/c+9
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:
hundred thousand, ten thousand, thousand, hundreds, tens, and ones
Step-by-step explanation:
