First of all, a bit of theory: since the area of a square is given by
where s is the length of the square. So, if we invert this function we have
.
Moreover, the diagonal of a square cuts the square in two isosceles right triangles, whose legs are the sides, so the diagonal is the hypothenuse and it can be found by
So, the diagonal is the side length, multiplied by the square root of 2.
With that being said, your function could be something like this:
double diagonalFromArea(double area) {
double side = Math.sqrt(area);
double diagonal = side * Math.sqrt(2);
return diagonal;
}
Answer:
The width of the pathway is:
Step-by-step explanation:
To identify the width of the pathway, you must remember the area formula of a rectangle:
- Area of a rectangle = length * width.
From which the width can be cleared:
- Width of a rectangle = area / length.
We know that the length of the terrain was not modified since the pathway is in the perimeter of the rectangle (16 m) and that the new area is 240 m^2, so we only have to replace the cleared formula:
- Width of a rectangle = 240 m^2 / 16 m = 15 m.
The new width is equal to 15 meters, but since the question is not the total width but the width of the pathway, the width of the previously provided land must be subtracted from the value obtained.
- <u>Pathway width = Total width - Garden width.
</u>
- <u>Pathway width = 15m - 8m = 7 meters.</u>
Answer:
The mass of the Blue whale is 200 times the mass of the cow
Step-by-step explanation:
Given
Mass of Cow = 9 * 10² kg
Mass of Blue Whale = 1.8 * 10⁵ kg
Required
Determine the relationship between both weights
Represent the mass of the cow with C and the mass of the whale with B
Divide the bigger weight by the smaller weight
Multiply both sides by C
<em>From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow</em>
Answer:
Step-by-step explanation:
Below is the rectangle in the attachment.
Current scale:
1 cm : 6 inches
If the dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 6 inches
Width = b × 6 inches
Using the same dimensions of the rectangle is:
Length = a cm
Width = b cm
Using the scale:
Length = a × 12 inches
Width = b × 12 inches
Note that there is an enlargement of the rectangle to form the new rectangle. The length and width of new rectangle drawn will be 2 × the length and width of the rectangle seen below.
is a solution for this recurrence, with 
. Then
, we get four equations in four unknowns:
be the generating function for 
. Multiply both sides of the recurrence by 
and sum over all 
.
