Answer:
Approximately 10.39 ft.
Step-by-step explanation:
First, draw a short diagram to understand the sides of the right triangle.
The 12 foot ladder leaning against the building would be the hypotenuse and because the bottom of the ladder is 6 feet from the house, that would be the bottom leg. We are trying to figure out the leg to the left (the top of the ladder from the ground.
To solve this, we must use the converse of the Pythagorean Theorem. To do this, we can set up the following equation.
12^2 - 6^2
144 - 36 = 108
Then we must find the square root of 108, which is approximately 10.39 feet.
Answer:
The maximum area that can be obtained by the garden is 128 meters squared.
Step-by-step explanation:
A represents area and we want to know the maximum.
is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.
To do this we will need to first find the x-coordinate of our vertex.
to then .
To find the y that corresponds use the equation that relates y and x.
The maximum area that can be obtained by the garden is 128 meters squared.
Answer:
<em><u>139</u></em>
Step-by-step explanation:
:/
:)
Answer:
The number of persons using the elevator at any hour is never going to be less that 15.
Step-by-step explanation:
To solves this you have to suppose that there are at least 15 persons on the elevator, and the equation is converted into an inequation:
Now you transform the inequation back to an equation to solve it:
You need to know if there is any negative solution for the equation, to do this you can use the discriminant for a quadratic equation:
In this case, you have a=1, b=-10, c=25
Since the discriminant is 0 and a<0 the equation always is going to be positive. Therefore, the number of persons using the elevator at any hour is never going to be less than 15.
The answer is 6 step by step