The common factors of the numbers 18 and 30 is 6
<h3>How to determine the common factors of the numbers?</h3>
The numbers are given as
18 and 30
Express 18 and 30 as a product of its factors
So, we have
18 = 2 * 3 * 3
30 = 2 * 3 * 5
Multiply the common factors in the above expression
Common factors = 2 * 3
Evaluate the product
So, we have
Common factors = 6
Hence, the common factors of the numbers 18 and 30 is 6
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First let

, so that

to write the integral as

Now recall that

, so substituting

should do the trick. The integral then becomes
Answer:
The shortest side = 6
The third side = 9
The hypotenuse (the longest side) = 16
Step-by-step explanation:
First, let's establish the following based on the information given:
The shortest side = x
The third side = (x + 3)
The hypotenuse (the longest side) = (2x + 4)
The perimeter = 31
Since the perimeter is the total of all 3 sides, we are left with this equation:
(x) + (x + 3) + (2x + 4) = 31
From here, combine like-terms and solve for x.
(x) + (x + 3) + (2x + 4) = 31
(4x + 7) = 31
4x = 24
x = 6
Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.
The shortest side = 6
The third side = (x + 3) = 9
The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16
To check, add all of the sides together to make sure they equal 31.
6 + 9 + 16 = 31
~Hope this Helps!~
10% of all the cars is 20 limos.
20 * 10 = 200 cars total.
limos + vans + sedans = total cars
200 cars total - 20 limos - 60 vans = x sedans
x = 120 sedans
Answer:
just subtract the area of the rectangle from the area of the carpet
fine I'll do it
Area of a rectangle= lb
Area of a square= a^2
Area of the remaining area= lb - a^2
= (12*4) - (2*2)
= 48-4
= 44 ft^2