The perimeter is:
P = 2x + 2y = 80
The area is:
A = x * y
The area as a function of a variable is:
A (x) = x * (40-x)
Rewriting we have:
A (x) = 40x-x ^ 2
We derive the function:
A '(x) = 40-2x
We equal zero and clear x:
40-2x = 0
2x = 40
x = 40/2
x = 20 feet
The other dimension is:
y = 40 - x
y = 40 - 20
y = 20 feet
The area will be:
A = x * y
A = 20 * 20
A = 400 feet ^ 2
Answer:
The dimensions are:
x = 20 feet
y = 20 feet
The area is:
A = 400 feet ^ 2
Given:
In ΔKLM, l = 48 inches, ∠K=55° and ∠L=46°.
To find:
The length of k, to the nearest inch.
Solution:
According to Law of sine,

In ΔKLM, using law of sine, we get



On further simplification, we get



Approximate the value to the nearest inch.

Therefore, the length of k is 55 inch.
Answer:The accompanying table shows the number of trials and the ... Write the exponential regression equation for this set of data, rounding all values to no decimal places. Using this equation, find the value of her stock, to the nearest dollar, 10 years ... culture over a 5-hour period, where x is the time, in hours, and y is the number.
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Step-by-step explanation:
Solution:
Given: zj = 3- j2, zz = - 4 + j3
Part a:
zj = 3- j2 = 
zz = - 4 + j3 = 
Part b:
|zj| = |3− j2| = √3² +(−2)² = √13 = 3.60
|z1| = √(3− j2)(3+ j2) = √
13 = 3.60.
Part c:
With the help of part a:
z1z2 = 
144 ounces! There are 8 ounces in 1 cup. 8x18= 144!! :D