What is the length of side angle AB of parrellelogram ABCD ?
1 answer:
A parallelogram is a quadrilateral that has two pair of opposite sides and each pair measure the same. In order to illustrate this problem, see the figure below. Here we know some facts:
- Side AB measures x cm
- Side DC measures 4 cm
By definition, opposite sides in any parallelogram measure the same, so AB and DC are opposite, therefore:
Parallelogram: brainly.com/question/12524581
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Answer:
Between 150 and 450
Step-by-step explanation:
We are going to find the number by resolving a system of linear equations.
First we write the system equations :
Where C : children, S : students and A : adults
The equation represents the ''full attendance''
The second equation :
This equation represents the totaled receipts.
The system :
has the following associated matrix :
By performing elementary matrix operations we find that the matrix is equivalent to
The new system :
Working with the equations :
Our solution vector is :
For example :
If 0 adults attended ⇒ A = 0
This verify the totaled receipts equation :
150($3)+600($5) = $ 3450
A ≥ 0 ⇒ If A = 0 ⇒ C = 150
C = 150 is the minimum children attendance
From the equation :
S ≥0
600 - 2A ≥ 0
600 ≥ 2A
300≥ A
A is restricted to the interval [ 0, 300]
When A = 0 ⇒ C = 150
When A = 300 ⇒C = 150 + A = 150 + 300 = 450
Children ∈ [ 150,450]
With C being an integer number (including 0)
Also S and A are integer numbers (including 0)
The dimension that would give the maximum area is 20.8569
<h3>How to solve for the maximum area</h3>
Let the shorter side be = x
Perimeter of the semi-circle is πx
Twice the Length of the longer side
Length =
Total area =
area of rectangle + area of the semi-circle.
Total area =
When we square it we would have
This gives
From here we divide by 2
The maximum side would be at
This gives us 20.8569
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Answer:
x=2
Step-by-step explanation:
here is what the line would look like on a graph
