Given:
The base of 40-foot ladder is 8 feet from the wall.
To find:
How high is the ladder on the wall (round to the nearest foot).
Solution:
Ladder makes a right angle triangle with wall and ground.
We have,
Length of ladder (hypotenuse)= 40 foot
Base = 8 foot
We need to find the perpendicular to get the height of the ladder on the wall.
Let h be the height of the ladder on the wall.
According to the Pythagoras theorem,





Taking square root on both sides.


Height cannot be negative. Round to the nearest foot.

Therefore, the height of the ladder on the wall is 39 foot.
The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.
Answer:
Event A = white marble is selected
Event B = blue marble is selected
P(A) = 5/10 = 1/2
p(B) = 5/10 = 1/2
Probability that A and B are independent events is:
P(A∩B) = 1/2 × 1/2
Answer: 1/4
Y= 1/2x -2 is the equation for this line.
It could be PEMDAS.
That means solve by this order:
1). Parenthesis
2). Exponents
3). Multiplication
4). Division
5). Addition
6). Subtraction
To remember the order they say it like
this " Please Excuse My Dear Aunt Sally "