Sin squared x equals 3 cos squared x
Answer:



Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to

we have

so

simplify

------> equation A
Remember that the area of rectangle is equal to
----> equation B
substitute equation A in equation B
----> this is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point 
see the attached figure
so

Find the value of y

The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
23, 46, 92, 184, 368, 736, 1472, 2944, 5888.
The company will have 5888 sales.
Let n represent the amount Colin earned on Sunday.
On Sat. he earned n/2; on Sun. he earned n; and on Friday he earned (1/2)(n/2).
Then n/2 + n + n/4 = $70
Mult. all terms by 4 to eliminate fractions:
2n + 4n + n = $280
7n = $280 => n = $40
Colin earned n/2, or $20, on Saturday; n, or $40, on Sunday; and n/4, or $10, on Friday.
Note that $20 and $40 and $10 add up to $70, as they must.
Answer:
The value of x is approximately 0.3684.
Step-by-step explanation:
Given:

We need to solve the proportion.
Solution:
Now we can see that;
In given equation one number is fraction and other number is whole number.
Now To make whole number into fraction we will divide by 1.
hence the whole number will be equal to;

Now the new equation will be;

Now by cross multiplication we get;

Now dividing both side by 19 we get;

Hence the value of x is approximately 0.3684.