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Zina [86]
3 years ago
7

What is the area of the polygon below

Mathematics
2 answers:
algol133 years ago
5 0

Answer:  The correct option is (D) 147 sq. units.

Step-by-step explanation:  We Re given to find the area of the polygon shown in the figure.

Let us divide the given polygon in two rectangles A and B as shown in the attached figure below.

The dimensions of rectangle A are

length, l = 10 units  and  breadth, b = 3 units.

So, the area of rectangle A is given by

AREA_A=l\times b=10\times3=30~\textup{sq. units}.

And, the dimensions of rectangle B are

length, l' = 13 units  and  breadth, b' = 12 - 3 = 9 units.

So, the area of rectangle B is given by

AREA_B=l'\times b'=13\times9=117~\textup{sq. units}.

Therefore, the area of the polygon is

AREA=AREA_A+AREA_B=30+117=147~\textup{sq. units}.

Thus, the required area of th given polygon is 147 sq. units.

Option (D) is CORRECT.

Fudgin [204]3 years ago
3 0
Separate it into two different shapes

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Step-by-step explanation:

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In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a
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Answer:

The answer is "\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}"

Step-by-step explanation:

Given value:

Temp-maximum=18^{\circ}  

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The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:  

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A = amplitude = \frac{(T_{max} - T_{min})}{2}\\\\

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B = \frac{2 \pi}{24}\\\\

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C = \text{ units translated to the right}= 4

D = y_{min} + amplitude = units \ translated \ up\\\\

D = 7.5 + 3 = 10.5

Its trigonometric function equation that model temperature T hours after midnight in Johannesburg t.

T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5

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Answer:

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Step-by-step explanation:

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