Let, width = x
Length = x + 6
Now, perimeter, 2(l+b) = 2(x+6+x)
2(2x+6) = 32
4x + 12 = 32
4x = 20
x = 5 &
x+6 = 5+6 = 11
As rectangle's dimensions are 11*5, it's area would be: 11 * 5 = 55 yards²
So, your final answer is 55 Yd²
Hope this helps!
Answer:
A
Step-by-step explanation:
The two parabolas intersect for

and so the base of each solid is the set

The side length of each cross section that coincides with B is equal to the vertical distance between the two parabolas,
. But since -2 ≤ x ≤ 2, this reduces to
.
a. Square cross sections will contribute a volume of

where ∆x is the thickness of the section. Then the volume would be

where we take advantage of symmetry in the first line.
b. For a semicircle, the side length we found earlier corresponds to diameter. Each semicircular cross section will contribute a volume of

We end up with the same integral as before except for the leading constant:

Using the result of part (a), the volume is

c. An equilateral triangle with side length s has area √3/4 s², hence the volume of a given section is

and using the result of part (a) again, the volume is

Answer:
paraell
Step-by-step explanation:
The irrational numbers are: √8, √10 and √15
Step-by-step explanation:
A rational number is a number that can be written in the form p/q where p&q are integers and q≠0.
"All the numbers whose square root is not a whole number and has an infinite number of digits after decimal, are irrational numbers"
So in the given options

Which can be written in the required form so √4 is a rational number

√8 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√10 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

√15 has an infinite expansion hence it cannot be written in the p/q form, so it is an irrational number

Which can be written in the required form so √36 is a rational number
Hence,
The irrational numbers are: √8, √10 and √15
Keywords: Rational numbers, Irrational numbers
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