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.
Simply collect like terms, numbers and or variables that have the same number and type of variable.
For example 15x^2 and 10x^2 are like terms. Circle the sign in front of the term to perform the correct operation.
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point given and a slope from the equation. We will chose point-slope since we have a point and the slope.
We will substitute
and
.

This is the equation of the line with slope -2 that passes through (5,-1).
Answer:
x + y = 2
y = 2 - x
so it is a linear equation.
2x + 5 = 11
2x = 11 - 5
2x = 6
x = 3
it is not a function because for just one <u>x</u> we have many <u>y</u>
Answer: x=6 and the angle is 50
Step-by-step explanation:
1. a whole triangle = 180°
2. subtract 70 and 60 to get 50
3. subtract 2 from 50 and get 48
4. divide 48 by 8 and you get 6.
hope this helps :) everyone reading this have a great day!