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.
Answer:
We conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
Step-by-step explanation:
Given
A number t multiplied by -4 is at least −2/5
To determine
Write the sentence as an inequality.
For the inequalities, when we mention 'at least', we can term it as 'greater than or equal to' symbol such as '≥'.
It is stated that A number t multiplied by -4 is at least −2/5.
Let 't' be the number.
Multiplying t by -4 is: -4t
Thus, A number t multiplied by -4 is at least −2/5 will be written as:
-4t ≥ -2/5
Therefore, we conclude that 'A number t multiplied by -4 is at least −2/5' can be algebraically written as inequality such as:
So you have 6.95 pounds and 1.75 pounds of it is cherry.
To find how many pounds you have of lime just subtract the amount of cherry.
6.95-1.75= 5.2 pounds of lime jelly beans
Y/3 + 1/4 = 5/12
4y/12 + 3/12 = 5/12
4y/12 = 2/12
4y = 2
/4 /4
y = 1/2
Therefore y = 1/2
Answer:
72 yd^2
Step-by-step explanation:
Separate the shape into a square and a rectangle. Figure out the measurements of each shape then add the total.