Answer:
Step-by-step explanation:
GIVEN: A farmer has 
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be 
and 
perimeter of rectangular pen 
area of rectangular pen 
putting value of
to maximize 
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is 
and dimensions are
Answer:
to organize bivariate data
to plot points to two sets of data
to compare dependent and independent variables
to visualize relationships between
Step-by-step explanation:
Answer:
d) 86.2 degrees
x = 86.20°
Attached is the image used in the question;
Step-by-step explanation:
Applying the law of cosine;
Cos C = (a² + b² - c²)/2ab
Where;
Angle C = x
c = 13 ft
b = 9ft
a = 10ft
Substituting into the equation;
Cos x = (10² + 9² - 13²)/(2×10×9)
Cos x = 0.0667
x = cos⁻¹(0.0667)
x = 86.20°
<span>To solve for the given, </span>40, 800 ÷ 10 in unit form and standard form
<span>in unit form and standard form </span>
<span>We can first standardize the given into a equation form which will be: </span>
<span>1. 40,800 / 10 which yield 4,080 </span>
<span>40,800 x 10 = 4080 </span>
<span>Notice the amount of zero the value of 40,800 decreased. </span>
<span>2. The standard form then is 4080 </span>
<span>3. The word form of the quotient is four thousand eighty..<span>
</span></span>
Company 1: (24 + 26 + 28 + 23 + 21) / 5 (this is how many numbers added together) = 24.4
Company 2: (6 + 32 + 9 + 31 + 21) / 5 = 19.8
Company 3 (15 + 15 + 15 + 15 + 15) / 5 = 15
Company 4: (13 + 10 + 45 + 12 + 15) / 5 = 19
Company 1 has the longest average commute time per employee.
