Answer:
The number is 35.
35 divided by 7 is 5, and 5 plus 7 is 12.
:)
This line is in the format 
, where 
is the slope.
A horizontal line has a slope of 
.
A vertical line has an undefined slope.
A positive slope makes the line go upwards and to the right.
<em>A negative slope makes the line go downwards and to the right.</em>
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:
y = 
Step-by-step explanation:
Given y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 5 when x = 6
k = 
= 
y = x ← equation of variation
When x = 5, then
y = × 5 =
Answer: 7
Step-by-step explanation:
