pattydixon6
03.08.2019 •
Mathematics
What is the area of this figure? enter your answer in the box. units² an irregular heptagon is graphed on a coordinate plane. the horizontal x-axis ranges from negative 6 to 6 in increments of 1. the vertical y-axis ranges from negative 6 to 6 in increments of 1. the vertices of the heptagon are located at begin ordered pair negative 5 comma 3 end ordered pair, begin ordered pair negative 4 comma 5 end ordered pair, begin ordered pair negative 2 comma 3 end ordered pair, begin ordered pair 3 comma 4 end ordered pair, begin ordered pair 4 comma 3 end ordered pair, begin ordered pair 4 comma negative 3 end ordered pair, and begin ordered pair negative 3 comma negative 3 end ordered pair.
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Ответ:
area of the given heptagon is 54 square units.
what is heptagon?It is a polygon having 7 sides.
coordinates of all 7 vertices are given as:
(-5,3)
(-4,5)
(-2,3)
(3,4)
(4,3)
(4,-3)
(-3,-3)
in the uploaded diagram. heptagon has been split into 5 triangles, called T1, T2, T3, T4, and T5.
Now the area of the heptagon= T1+T2+T3+T4+T5
AreaT1= 3*2/2=3
AreaT2= 3*6/2=9
AreaT5=6*7/2=21
AreaT3=14.5, Using the coordinate formula for the area of a triangle.
AreaT4=6.5, Using the coordinate formula for the area of a triangle.
Total Area= 3+9+21+14.5+6.5= 54
hence, the area of the given heptagon is 54 square units.
to get more about polygon refer to the link,
link
Ответ:
Area of the two upper triangles:
Area of triangle 1:
At1 = (1/2) * (3) * (2) = 3
Area of triangle 2:
At2 = (1/2) * (6) * (1) = 3
Area of the complete lower rectangle
Ar = (9) * (6) = 54
Area of the lower triangle:
At3 = (1/2) * (2) * (6) = 6
The total area of the figure is:
At1 + At2 + Ar-At3 = (3) + (3) + (54) - (6) = 54
the area of this figure is 54 units^2
Ответ:
You and your friend used 66.7 megabytes.
Step-by-step explanation:
Hi, to answer this question we have to write an equation.
Your cell phone company:
y = 10 + 0.10 m
Where:
y: total cost
m = number of megabytes
Your friend's company:
y = 0.25m
If both paid the same, it means that
y = y
And
10 + 0.10m = 0.25m
Solving for m:
10= 0.25m-0.10m
10= 0.15m
10/0.15=m
66.7 =m
You and your friend used 66.7 megabytes.