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What are 4 consecutive odd integers where the product of the two smaller integers is 64 less than the product of the two larger integers?
The numbers are 5, 7, 9, 11 (35 is 64 less than 99) The equation is (A)(A+2) = (A+4)(A+6) - 64 A2 + 2A = A2 +10A +24 -64 2A = 10A - 40 8A = 40 A = 5
Find 3 consecutive odd numbers where the product of the smaller two numbers is 22 less than the square of the largest numbers?
a, a + 2, a + 4; a2 + 2a + 22 = a2 + 8a + 16 6a = 6 ie a = 1 and other numbers are 3 & 5.
What is the measure of angle 1 and angle 2 if angle 1 and angle 2 are complementary and angle 1 is 4 times greater than angle 2?
A1 + A2 = 90 A1 = 4*A2 Substituting from the second equation into the first: 4*A2 + A2 = 90 or 5*A2 = 90 so that A2 = 18 and then, by the second equations, A1 = 4*18 = 72
What is the scientific way to say that something covers more area than another?
a1 greater than a2
What 3 measurements make a right triangle?
There are many sets of side lengths that will make a right triangle. Try 3-4-5 or any multiple of those like 6-8-10. Another common one is 5-12-13 or a multiple thereof. The way to check to see if any three side lengths make a right triangle is to use the converse of the Pythagorean Theorem. If the longest side is c, calculate the value of c2 and see if it is less than, greater than or equal to a2 + b2, the sum of the squares of the other two sides. If the quantities are equal, the triangle would be a right triangle. If c2 is less than a2 + b2 the triangle would be acute. If c2 is greater than a2 + b2 the triangle would be obtuse.
