Answer:
Step-by-step explanation:
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
They charge fees so they can cover there costs and return value to shareholders
Answer:
A. g(x) = f(x - 6) + 2
Step-by-step explanation:
Vertex moves from:
(-6,-2) to (0,0)
g(x) = f(x - 6) + 2
It will be easier to explain how to solve this question in a square. If you rotate 4-sided square from the centre, you need to rotate it 90 degrees. The formula for this would be: 360 ° /the side count. In a square, it would be 360° /4= 90°.
In 18-sided polygon, the calculation would be: 360°/ 18 side= 20°
Answer: the cost of one medium sized jug is $60
the cost of one large sized jug is $10
Step-by-step explanation:
Let x represent the cost of one medium sized jug.
Let y represent the cost of one large sized jug.
Jack bought 2 medium sized jugs and 3 large sized jugs for 150 dollars. This means that
2x + 3y = 150 - - - - - - - - - - - 1
Jill bought 4 medium jugs and 12 large jugs for 360 dollars. This means that
4x + 12y = 360 - - - - - - - - - - - 2
Multiplying equation 1 by 4 and equation 2 by 2, it becomes
8x + 12y = 600
8x + 24y = 720
Subtracting, it becomes
- 12y = - 120
y = - 120/ - 12
y = 10
Substituting y = 10 into equation 1, it becomes
2x + 3 × 10 = 150
2x + 30 = 150
2x = 150 - 30 = 120
x = 120/2 = 60
