Answer:
-2.5
Step-by-step explanation:
We want to evaluate the double integral,
where R is the rectangular region bounded by R={(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1}
We apply the limits to obtain;
We evaluate the inner integral by integrating with respect to x whiles treating y as a constant.
This gives us,
We evaluate the resulting integral now to obtain;
Since x & y vary directly (it means when x increases, y increases & vice versa)
Then the equation==> y = k.x (k is a constant to be calculated)
But x=4 and y= (given) ==> 2=4k or k= 1/2 & the equation becomes <span>y=1/2 (x)</span>
Answer: area of the path alone is 178.98 ft²
Step-by-step explanation:
Since the circular garden is surrounded by a circular path, two circles are formed.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the circular garden,
Radius = 8 ft
Area = 3.14 × 8² = 200.96 ft²
Considering the circular garden and the circular path together,
Radius = 8 + 3 = 11 ft
Area = 3.14 × 11² = 379.94 ft²
Area of the path alone is the circular garden and the circular path together - area of circular path
It becomes
379.94 - 200.96 = 178.98 ft²
Answer:
148.49
Step-by-step explanation:
105 x √2 = 148.49
have a great day
A golden rectangle is a rectangle whose length and width follow the golden ratio (about 1:1.618).
Given the length, you would divide by 1.618 to find the width.
Edit: The exact value is
, but 1.618 should suffice.
