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3 years ago

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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Ernesto solves the equation below by first squaring both sides of the equation. \sqrt{\dfrac{1}{2}w+8}=-2 2 1 w+8 =−2square

algol [13]

Answer:

Step-by-step explanation:

Given the equation solved by Ernesto expressed as $\sqrt{\dfrac{1}{2}w+8}=-2$ , the extraneous solution obtained by Ernesto is shown below;

$\sqrt{\dfrac{1}{2}w+8}=-2\\\\square\ both \ sides \ of \ the \ equation\\(\sqrt{\dfrac{1}{2}w+8})^2=(-2)^2\\\\\dfrac{1}{2}w+8 = 4\\\\Subtract \ 8 \ from \ both \ sides\\\\\dfrac{1}{2}w+8 - 8= 4- 8\\\\\dfrac{1}{2}w= -4\\\\multiply \ both \ sides \ by \ 2\\\\\dfrac{1}{2}w*2= -4*2\\\\w = -8$

Hence, the extraneous solution that Ernesto obtained is w = -8

4 0

3 years ago

Tell whether each statement about the fraction 5/9 is correct. Choose yes or no

lions [1.4K]

B and C are correct, A and D are incorrect

5 0

3 years ago

The number of a certain company's video stores can be approximated by the linear equation y= -264x+4682, where x is the number o

ahrayia [7]

Answer:

Missing co-ordinate for the ordered pair is $(7,2834)$

Y-intercept is $(0,4682)$

X-intercept is $(17.73,0)$

Step-by-step explanation:

The number of a certain company's video stores can be approximated by the linear equation

$y= -264\ x+4682$

where $y$ is the number of stores and $x$ represents the number of years after 1990.

To find the missing co-ordinate for the ordered pair solution $(7,?)$

For the ordered pair, we are given the $x$ value which is =7 i.e 7 years after 1990. Thus we will plugin $x=7$ in the linear equation to get the $y$ value which is number of stores after 7 years from 1990.

$y= -264\ (7)+4682$

$y= -1848+4682$

$y= 2834$

Thus the ordered pair is $(7,2834)$

To find y-intercept which is the point where the line touches the y-axis, we would plugin $x=0$ in the equation as the x-coordinate is 0 at y-axis.

$y= -264\ (0)+4682$

$y= 0+4682$

$y=4682$

Thus y-intercept is at point $(0,4682)$

To find x-intercept which is the point where the line touches the x-axis, we would plugin $y=0$ in the equation as the y-coordinate is 0 at x-axis and thus for $x$

$0= -264\ x+4682$

Subtracting both sides by 4682.

$0-4682= -264\ x+4682-4682$

$-4682= -264\ x$

Dividing both sides by -264

$\frac{-4682}{-264}= \frac{-264\ x}{-264}$

$17.73= x$

∴ $x=17.73$

Thus x-intercept is at point $(17.73,0)$

5 0

4 years ago

Math! Answer to 1&2?

Jobisdone [24]

Answer:

the number 1 is going to be B and number 2 is going to be C

Step-by-step explanation:

hope this helps

5 0

3 years ago

Jake's mom filled a 2-liter container with juice. Then Jake

tatiyna

Answer: 1.2 liters remain

1 liter = 1000 milliliters
if there’s two liters, that’s 2000 milliliters. the mom then poured 2 glasses each with 400 milliliters, or 800 milliliters in total. 2000 - 800 = 1200. 1200 milliliters converted into liters = 1.2 liters.

6 0

3 years ago