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The number which best completes the sequence below is2 9 5 13 10 19 17?
27
What is the area of a rectangular prism?
The total surface area of a rectangular prism with length L, breadth B and height H, is2*(LB + BH + HL) square units.
A rectangle has a length of 12m and a width of 6m what are the perimeter of the rectangle?
The formula for finding a rectangle's perimeter is 2(l+w).Here, length is given as 12 m & width as 6m. So, the correct answer is2(l+w)=2(12+6)=2 x 18=36m.
What is the LCM of 100 and 130?
Find the LCM by finding prime factorization of both numbers:100 = 2 * 2 * 5 * 5130 = 2 * 5 * 13Then, count each pair of prime numbers. The two factorizations have two pairs of prime numbers: one pair of 2's and one pair of 5's (pairs are bolded, above):Paired primes: 2, 5Next, count the remaining primes and multiply them with the paired primes.Paired primes: 2, 5Unpaired primes: 2, 5, 13The LCM of 100 and 130 is2 * 2 * 5 * 5 * 13 = 1300
What two numbers are the product of 900 but there sum equal 64?
ANSWER: The two numbers required are not whole numbers. These are 43.135 and 20.865.Solution 1:Assuming you want whole numbers:Prime factorization for 900 is2 x 2 x 3 x 3 x 5 x 5You cannot combine these in any way to have a sum that is 64. You can with 65, but not 64.Solution 2:Let:x = first numbery = second numberx * y = 900 (Equation 1)x + y = 64x = 64 - y (Equation 2)Substitute Eq. (2) in Eq. (1):x * y = 900(64 - y) y = 90064y - y2 = 900- y2 +64y - 900 = 0 (Equation 3)multiply Eq. (3) by -1y2 - 64y + 900 = 0using quadratic equation:y1 = 43.135 y2 = 20.865Therefore, the two numbers are 43.135 and 20.865
