Answer:
(40 x 50) + (40 x 1) + (2 x 50) + (2 x 1) = 2,000 + 40 + 100 + 2
Step-by-step explanation:
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<Jayla>
Answer:
A 50
Step-by-step explanation:
Multiply 5 x 5 to get 25. Then multiply 25 x 2 to get 50 as the surface area!
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Two positive integers have gcd (a, b) = 15 and lcm (a, b) = 90. Those two numbers are 15 and 90 or 30 and 45.
Suppose we have 2 positive integers, a and b, then:
gcd (a, b) = the greatest common divisor = common prime factors of a and b
lcm (a, b) = the least common multiple = multiplication of the greatest common prime factors of a and b
In the given problem:
gcd (a, b) = 15
prime factorization of 15:
15 = 3 x 5
Hence,
a = 3 x 5 x ....
b = 3 x 5 x ....
lcm (a, b) = 90
prime factorization of 90:
90 = 3 x 5 x 2 x 3
Therefore the possible pairs of a and b are:
Combination 1:
a = 3 x 5 = 15
b = 3 x 5 x 2 x 3 = 90
Combination 2:
a = 3 x 5 x 2 = 30
b = 3 x 5 x 3 = 35
We can conclude the two integers are 15 and 90 or 30 and 45.
Learn more about gcd here:
brainly.com/question/16969353
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Turning up the edges of the sheet metal will result in the 20 inches of
metal being divided into x inches of the first side, then the unknown
width of the gutter (let's call it "y") and then again x inches for the
second side.
As a picture:
x|______|x/y
As a formula:
20 = x + y + x = 2x + y
Resolving this to y we get:
20 - 2x = y
and switching it around:
y = 20 - 2x,
Now for part b) of your question:
The area of the gutter's cross-section is its width (y) multiplied with its height (x).
A(x,y) = x * y
If we use our result from a) to eliminate y then we can see that
A(x) = x * y = x * (20-2x) = 20x-2x^2
So I'd say that the answer to part b) should be:
A(x) = 20x - 2x^2
