Base of parallelogram b = 24.5 cm
Step-by-step explanation:
We are given:
Perimeter =P= 63 cm^2
Slant Height =a= 7 cm
Base of Parallelogram =b= ?
The formula used is:
where a is height and b is base
Putting values:
So, Base of parallelogram b = 24.5 cm
Keywords: Perimeter of Parallelogram
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Answer:
,
,
Step-by-step explanation:
In this problem we have that
we have
substitute the values and solve for x
Group terms that contain the same variable in the right sides
Combine like terms in the right side
<u><em>Find the value of bd</em></u>
Find the value of bc
<u><em>Find the value of cd</em></u>
Answer:
Option A is correct.
The system of equation is inconsistent is;
2x+8y=6
5x+20y=2
Explanation:
* A system of equations is called an inconsistent system, if there is no solution because the lines are parallel.
* If a system has at least one solution, it is said to be consistent .
*A dependent system of equations is when the same line is written in two different forms so that there are infinite solutions.
(A)
2x+8y=6
5x+20y=2
This is inconsistent, because as shown below in the graph of figure 1 that the lines do not intersect, so the graphs are parallel and there is no solution.
(B)
5x+4y=-14
3x+6y=6
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 2 and also it is independent.
(C)
x+2y=3
4x+6y=5
this system of equation is Consistent because it has exactly one solution as shown below in the graph of Figure 3.
(D)
3x-2y=2
6x-4y=4
this is a consistent system and has an infinite number of solutions, it is dependent because both equations represent the same line. as shown below in the graph of Figure-4.
Therefore, the only Option A system of equation is inconsistent.
They will have to bring in more than $600,000 a month to beat their competitors.
Step-by-step explanation:
Step 1; This establishment's competitors bring in $1,800,000 per quarter. This means that they bring in that amount of money through sales in a quarter of a year.
A quarter of a year = × 12 months = 3 months.
So the competition brings in $1,800,000 in 3 months.
Step 2; Now we calculate how much this establishment must make to beat them.
Money to brought in a month = $1,800,000 / 3= $600,000 a month. So the team must bring in more than $600,000 a month to beat their competitor's sales of $1,800,000 in a quarter.