X^2 + 9 + 7 = 20
X^2 +16 = 20
X^2 = 20-16
X^2 = 4
Root 4 = 2
X=2
Answer:
It would take her approximately 90 hours to completely fill the pool.
Step-by-step explanation:
If the water hose can pour out 90 gallons every hour, then 8100 ÷ 90 = 90.
This equation shows that to fill the 8100-gallon pool by filling it with 90 gallons every hour, it would take 90 hours to fill completely
Answer:
it is 0.55 > 1/2
Explanation:
Because 1/2 in decimal form is 0.50.
The perimeter of a rectangle is the sum of twice the length and twice the width. When a diagonal is drawn across the rectangle, two congruent triangles are formed. The legs of the triangle are the sides of the rectangle. Right triangles indicates that we can use the Pythagorean theorem. Let length = xLet width = y Set the equation based on what we know. 2x + 2y = 22 x + y = 11 eq1 x2 + y2 = [√65]2 eq2 We have two equations to work with. x + y = 11 eq1 x2 + y2 = 65 eq2 Substitute eq1 into eq2. From eq1, x = 11 - y x2 = (11 - y)2 x2 = (11 - y)(11 - y) x2 = 121 - 22y + y2 (121 - 22y + y2) + y2 = 65 121 - 22y + 2y2 = 65 2y2 - 22y + 56 = 0 2(y2 - 11y + 28) = 0 2(y - 7)(y - 4) = 0 y = 7 and y = 4 Substitute these y values into eq1 to solve for x. x = 11 - 7 and x = 11 - 4 x = 4 and x = 7 Each pair of solutions has the same dimensions. Shorter side = 4Longer side = 7