Answer:
Most likely Perimeter of the pad is 42 ft.
Step-by-step explanation:
Area of the Cement pad = 108 feet²
Length of the dumpster = 9 ft
Width of the dumpster = 8 ft
Cement pad surface is greater than dumpster to hold it.
Area of pad = 108 ft²
length × width = 108
we choose length and width such that they are greater than length and width of the dumpster.
So, length of the pad = 12 ft
Width of the pad = 9 ft
Thus, Perimeter = 2 × (length + width) = 2 × ( 12 + 9 ) = 2 × 21 = 42 ft
Therefore, Most likely Perimeter of the pad is 42 ft.
The initial value of the linear function represented by this graph is given by:
D. 7
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, the y-intercept is of 7, as the function goes through point (0,7), hence option d is correct.
More can be learned about linear functions at brainly.com/question/24808124
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<1 and <7 measures 42 degrees
2 and 5 are alternate interior angles from the figure above
Answer:
Step-by-step explanation:
First, add up the two numbers in the ratio to get 8. Next divide the total amount by 8, i.e. divide £40 by 8 to get £5. £5 is the amount of each 'unit' in the ratio.
To calculate the ratio of an amount we divide the amount by the total number of parts in the ratio and then multiply this answer by the original ratio. We want to work out $20 shared in the ratio of 1:3.
Answer:
k=7
Other root=3
Step-by-step explanation:
If x=4 is a root of the given equation, then it satisfies the given equation.
4^2-k(4)+12=0
We can solve this equation for k.
16-4k+12=0
28-4k=0
28=4k
28/4=k
7=k
So the equation is x^2-7x+12=0
Factor form is (x-3)(x-4)=0 since-3(-4)=12 and -3+-4=-7.
This implies x=3 and x=4 are roots.