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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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A new cell phone is on sale for 40% off its original price. The sale price is $48.
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If $1600 earned simple interest of $56.24 in 2 months, what was the simple interest rate? The simple interest rate is % (Do not
Fiesta28 [93]

Answer:

\$21.1

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We know that for principal amount P , time period T and rate of interest R\% , simple interest is given by S.I. = \frac{P\times R\times T}{100} .

Here ,

P=\$1600\\T=2\,\,months=\frac{2}{12}\,\,years=\frac{1}{6}\,\,years\\S.I=\$56.24

To find :  simple interest rate i.e., R\%

On putting values of P\,,\,T\,,\,S.I in formula , we get S.I. = \frac{P\times R\times T}{100}

56.24 = \frac{1600\times R\times 1}{600}\\R=\frac{56.24\times 600 }{1600}=\frac{703\times 3}{100}=\$21.09

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8 0
3 years ago
A competitive knitter is knitting a circular place mat. The radius of the mat is given by the formula
Ilia_Sergeevich [38]

Answer: A. A'(t)=\frac{4356\pi}{(t+11)^{3}}-\frac{527076\pi}{(t+11)^{5}}

              B. A'(5) = 1.76 cm/s

Step-by-step explanation: <u>Rate</u> <u>of</u> <u>change</u> measures the slope of a curve at a certain instant, therefore, rate is the derivative.

A. Area of a circle is given by

A=\pi.r^{2}

So to find the rate of the area:

\frac{dA}{dt}=\frac{dA}{dr}.\frac{dr}{dt}

\frac{dA}{dr} =2.\pi.r

Using r(t)=3-\frac{363}{(t+11)^{2}}

\frac{dr}{dt}=\frac{726}{(t+11)^{3}}

Then

\frac{dA}{dt}=2.\pi.r.[\frac{726}{(t+11)^{3}}]

\frac{dA}{dt}=2.\pi.[3-\frac{363}{(t+11)^{2}}].\frac{726}{(t+11)^{3}}

Multipying and simplifying:

\frac{dA}{dt}=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}

The rate at which the area is increasing is given by expression A'(t)=\frac{4356\pi}{(t+11)^{3}} -\frac{527076\pi}{(t+11)^{5}}.

B. At t = 5, rate is:

A'(5)=\frac{4356\pi}{(5+11)^{3}} -\frac{527076\pi}{(5+11)^{5}}

A'(5)=\frac{4356\pi}{4096} -\frac{527076\pi}{1048576}

A'(5)=\frac{2408693760\pi}{4294967296}

A'(5)=1.76268

At 5 seconds, the area is expanded at a rate of 1.76 cm/s.

5 0
2 years ago
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