The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the foot of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = 9² + h²

225 = 81 + h²

h² = 225 - 81 = 144

h = √144 = 12 feet

7 0

2 years ago

Which ordered pair is the best estimate for the solution of the system of equations

Colt1911 [192]

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

The given system of equations is:

$y=-\frac{1}{2}x + 4.......................(1)\\\\y = \frac{1}{2}x-3..........................(2)$

Equate equations (1) and (2)

$-\frac{1}{2}x + 4=\frac{1}{2}x -3$

Solve for x in the equation above

$-\frac{1}{2}x -\frac{1}{2}x =-3-4\\\\-x=-7\\\\x=7$

Substitute x = 7 into equation (1)

$y=-\frac{1}{2}x + 4\\\\y=-\frac{1}{2}(7) + 4\\\\y=\frac{1}{2}$

The ordered pair that is the best estimate for the solution of the system of equations is (7, 1/2)

Learn more on system of equations here: brainly.com/question/13729904

5 0

2 years ago

You have 4/5 cup of brown sugar in your cupboard. the recipe for a dessert calls for 1/4 cup of brown sugar. how much brown suga

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

4/5 cup of brown sugar. Needs 1/4 cup. How many cups left?

Okay, so 4/5 = 0.80, 1/4=0.25.

0.80-0.25=0.55

Which is 55/100

Divide both numbers by 5

11/20

7 0

3 years ago