Using Pythagoras Theorem,
(b is the length of the ladder from the ground)
11x11=6x6+(b^2)
121-36=(b^2)
85=(b^2)
b= 9.219544457292887
b is approximately 9.2
Answer:
C, 108 ft²
Step-by-step explanation:
To solve, we need to find the area of each of the shapes and then add them together.
The top rectangle's area: 8 * 3 = 24
The left triangle: 3 * 4 * 0.5 = 6
The middle rectangle: 8 * 4 = 32
The right triangle: 4 * 3 * 0.5 = 6
The bottom rectangle: 5 * 8 = 40
Add them all together.
24 + 6 + 32 + 6 + 40 = 108 ft²
Thus, the answer is C, 108 ft²
Answer:
c(x) = ($12) / x
Step-by-step explanation:
The general formula for inverse proportion is y = k/x.
In this specific problem, y represents the cost per person, k the dailyl cost ($12), and x the number of perople riding.
Then
c(x) = cost per person as a function of the number of people riding
= ($12) / x
Note that if only one person rides, that person pays $12/1, or $12; if two people, $12/2, or $6 per person, and so on.
For this case we have a quadratic equation of the form:

What we must keep in mind to know which direction opens the parabola, is the value of a.
We have two options:
If a <0 the parabola opens down
If a> 0 the parabola opens up
We have the following equation:

We observed that:

Therefore, the parable opens up.
Answer:
the direction that this parabola opens is:
Upwards