ANSWER
36√3 square units.
EXPLANATION
The area of a parallelogram is obtained by multiplying the base by the height.
We use the sine ratio to obtain the height.
The area becomes:
FOR A SCHOOOL NOW FIRST IF THE Ratio was 3.5 to 6.8 then Jacob Collected 115.50 it would be 207.56
Answer: The maximum height it can safely reach is 23 feet (approximately)
Step-by-step explanation: First of all the ladder is 24 feet long. Then it needs to rest on a vertical support and it is recommended that for every 4 feet the ladder goes up, there should be a 1 foot safety distance between the base of the ladder and the vertical support. In other words, if the whole length of the ladder were to be placed on the vertical support, the 24-foot height must have a safety distance of,
Base = height/4
Base = 24/4
Base = 6
What this implies is that, as long as the whole length of the ladder (24 ft) is placed on the support, the safe distance from the base of the support would be 6 feet. At this rate, the maximum height that the ladder can reach is simply the vertical support itself. This results in a right angled triangle with hypotenuse 24 ft, and one side measuring 6ft. The unknown side can be derived by use of the Pythagoras theorem which states that,
AC^2 = AB^2 + BC^2
Where AC is the hypotenuse and AB and BC are the other two sides.
We can now substitute for the values as follows,
24^2 = 6^2 + BC^2
576 = 36 + BC^2
Subtract 36 from both sides of the equation
540 = BC^2
Add the square root sign to both sides of the equation
BC = 23.2379
By approximation, BC equals 23 feet.
That means the maximum height the ladder can SAFELY reach is 23 feet.
Hey there!
Let's think of both of these functions as two different slope-intercept equations (y=mx+b). Don't let all of the fs and gs confuse you; those are just showing that they are two different functions!
Our function f has an equation of y=x, which is a diagonal line that passes through the origin and goes across each small grid on the graph diagonally.
Our function g has an equation of y=-1/3x+2, which means that it will intersect with the y-axis at two units above the origin and for every three whole steps it goes to the right, it will have gradually gone down one whole step as well.
Attached to my answer is what a graph of it would kind of look like. Sorry if the lines don't look too much like a line it's a bit difficult to draw with a mouse haha!
I hope that this helps! Have a wonderful day!
Here you go:
h = 5 x 2.54
please correct me if I'm wrong,
Hope it helps!
