Da Augen: x - 8
Sum of their ages: 44
Equation:(x) + (x-8) = 44
Find Sydney's age, x:
2x - 8 = 44
2x = 44 + 8
2x/2 = 52/2
x = 26Sydney is 26 years old.
Da Augen's age:
26-8 = 18 years old
Check the sum of their ages:
26 + 18 = 44
44 = 44 (True)
You have to subtract 44 from8 which gives you 38 then you
add 36 to 8which give you 44
answer:bottom of the ladder is 24 feet from the bottom of the building.
use pythagorean theorem to solve for the horizontal distance along the ground between the bottoms of ladder and building.
the pythagorean theorem states that the square of the hypotenuse (c) of the right triangle (with a 90-degree angle) is equal to the the sum of the squares of its two other sides a and b., c² = a² + b²
to visualize the given problem:there are three sides that represent the sides of the right trianglethe height of the building is perpendicular to the distance along the ground creating a 90-degree angle of the right trianglethe height and distance along the ground are the two sides the ladder is the hypotenuse.
therefore:c = 26 fta = 10 ftb =
find b, the distance from the bottom of the ladder to the bottom of the building:
c² = a² + b²
(26 ft)² = (10 ft)² + b²
b² = (26 ft)² - (10 ft)²
b² = 676 ft² - 100 ft²
b = √(576 ft²)b = 24 bottom of the ladder is 24 feet from the bottom of the building.
15 + number of pigs= number of ducks