Please help iam crying this is my final exam please
1 answer:
Given:
The graph of a system of equations.
To find:
The solution of the given system of equations.
Solution:
If a system of equations has two equations, then the intersection points of the graphs of these two equations are the solutions for the system of equations.
From the given graph it is clear that the graph of both line intersect each other at point .
Therefore, the solution is .
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The relationship between the sides MN, MS, and MQ in the given regular heptagon is
The area to be planted with flowers is approximately <u>923.558 m²</u>
The reason the above value is correct is as follows;
The known parameters of the garden are;
The radius of the circle that circumscribes the heptagon, r = 25 m
The area left for the children playground = ΔMSQ
Required;
The area of the garden planted with flowers
Solution:
The area of an heptagon, is;
The interior angle of an heptagon = 128.571°
The length of a side, S, is given as follows;
The area of the heptagon MNSRQPO is therefore;
By sine rule, we have
∠MSQ = 128.571 - 2*23.18 = 82.211
The area of triangle, MSQ, is given as follows;
The area of the of the garden plated with flowers, , is given as follows;
= Area of heptagon MNSRQPO - Area of triangle ΔMSQ
Therefore;
= 1,842.94 - 919.382 ≈ 923.558
The area of the of the garden plated with flowers, ≈ <u>923.558 m²</u>
Learn more about figures circumscribed by a circle here: