Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
Jessica has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 of fabric remaining. How many yards of fabric does Jessica use per curtain?
Let
x-------> amount of yards of fabric that Jessica used per curtain
we know that
The length of 6 identical curtains plus the length of the fabric remaining, must be equal to the total yards of fabric'
so
The linear equation that represent this situation is
Solve for x

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.
100×16.60=1,660
Sam cost
1,660+1,660×0.06=1,759.6
4 is the answer for your question
Answer:
It is right
Step-by-step explanation:
Because the hypotenuse must be greater than all the legs, we have that
is the hypotenuse. So, we want to determine if
.

This means the triangle is indeed right!