Please help I'm horrible at fractions and I need to finish this... Solve and simplify
2 answers:
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Please find the attached file for a better understanding of the solution provided here:
ABCD is the swimming pool and PQRS is the extent of the swimming pool plus the concrete walkway which is 6 yards wide.
Now, we know that the length is 8 yards shorter than twice it's width. Thus,
l=2w-8
Now the area of the region, A'B'QP will be: length x width. Now, the length here is l+6+6=2w-8+12=2w+4 and width is 6.
Thus, area of the region A'B'QP is (2w+4)x6=12w+24
Likewise, the area of the region D'C'RS will similarly be 12w+24 too.
Now, the area of the region BB'C'C will be 6 x w=6w
Similarly, the area of the region AA'D'D will be 6 x w=6w
Therefore, the total area of the walk way will be:
Therefore, length, l will be:
Therefore, the dimensions of the swimming pool are:
Length, l= 21 yards and Width, w=14.5 yards
Actually Welcome to the Concept of the Graphs and plots,
since the given equation is a parabolic equation graph, hence we substitute every value to get the value of variable y.
1.) if x = -5 ,then 25-30-7 => y = -12
2.) if x = -1 , then 1-6-7 => y = -12
3.) if x = -6 , then 36 -36 -7=> y = -7
4.) if x = 0 , then 0+0-7 => y = -7
hence all values are proved above
A. The wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered.
B. To determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.
Step-by-step explanation:
Step 1:
The circumference of a circle is obtained by multiplying the radius with 2π.
The circumference of a circle
Here the radius of the circle is 22 cm but already a quarter of the circumference has been covered with wire.
Step 2:
So to determine the length of the wire needed, we subtract a quarter of the circles circumference from its whole circumference.
So the circumference of the circle cm.
cm and
cm.
So the wire needs to be 138.226 cm long but already 34.5565 cm of the circle has been covered. An additional 103.6695 cm of wire is needed to cover the remaining circle.