<span>perimeter of a rectangular rug is 30 yd
P= L+L+W+W
</span><span>P= 9+9+W+W
P= 18 + 2W
</span><span>18 + 2W = 30
2W = 30-18
</span><span>W= 12/2 = 6
A= L x W
A= 9 x w
</span><span>A= 9 x 6 = 45 yd square</span>
First integral
Since 
is a linear function, its graph is a line. This means that you can decompose the area under its graph as the sum of a right triangle and a rectangle, as shown in the attached image.
All the dimensions are fairly easy to deduce: we have
So, the area of the triangle is
For the rectangle, we have
So, the total area is 
Second integral
We have
So, this function is the upper half of the unit circle (the two halves are the functions 
)
Since the area of the unit circle is 
, the value of the integral is 
Third integral
It follows the exact same logic as the first one, you only have to adjust the numbers.
So we got the real axis and the imaginary axis
we just need to find the average of the 2 points
remember
midpoint of (x1,y1) and (x2,y2) is
((x1+x2)/2,(y1+y2)/2)
so
average of 3 and -8 is -5/2
average of -5i and 2i is -3/2i
center is -5/2-3/2i
Answer:
For this case we have an exponential function of the form:
Where,
A: original cost
b: rate of change
x: number of years
Therefore, replacing values we have:
Answer:
the value, after 7 years, of a 2014 Ford Mustang is:
y=13946
Answer:
16,771.56 square feet.
Step-by-step explanation:
In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.
The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:
17.8 x 80 = 1,424
21.2 x 80 = 1,696
Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:
1,424 x 1696 = 2,425,104
Now we need to convert the square inches into square feet to get to the final result:
1 ft² = 144 in²
2,425,104 / 144 = 16,771.56
So we have a result of 16,771.56 square feet.
