What is the area of the polygon below?

What Is The Area Of The Polygon Below?

Answers

Answer 1

Answer:

[tex]24 units^2[/tex]

Step-by-step explanation:

Well we can divide the given polygon into smaller triangles.

The triangle on the upper right corner has a base of 4 units and a height of 3 units.

So we use the following formula,

[tex]\frac{b*h}{2}[/tex]

4*3 = 12

12 / 2 = 6 units^2

Now we can do the bottom triangle.

It has a base of 4 units and a height of 1 unit.

So 4*1 = 4

4 / 2 = 2 units^2

Now for the top left triangle.

It has a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

Now all we have is the middle part.

Its a triangle with a base of 4 units and a height of 2 units.

So 4*2 = 8

8 / 2 = 4 units^2

6 + 2 + 4 + 4 = 16 units^2

Thus,

after adding everything up the total area of the polygon is 16 units^2.

Hope this helps :)


Related Questions

Suppose $x-3$ and $y+3$ are multiples of $7$. What is the smallest positive integer, $n,$ for which $x^2+xy+y^2+n$ is a multiple of $7$? Enter your answer. I need Immediate help or you wont get the points.

Answers

In the language of modular arithmetic, we're given

[tex]x-3\equiv0\pmod7\implies x\equiv3\pmod7[/tex]

[tex]y+3\equiv0\pmod7\implies y\equiv-3\equiv4\pmod7[/tex]

Then x = 7a + 3 and y = 7b + 4 for integers a and b.

Substitute these into the quadratic expression and simplify:

[tex]x^2+xy+y^2+n\equiv0\pmod7[/tex]

[tex](7a+3)^2+(7a+3)(7b+4)+(7b+4)^2+n\equiv0\pmod7[/tex]

[tex]49a^2+42a+9+49ab+28a+21b+12+49b^2+56b+16+n \equiv 0\pmod7[/tex]

[tex]37+n\equiv 0\pmod7[/tex]

[tex]n\equiv-2\equiv5\pmod7[/tex]

which means the smallest positive integer n we are looking for is 5.

Can someone help me with this plz? Will give brainliest

Answers

Answer:

∆ABC=DBC

Step-by-step explanation:

The angle of ABC, which is 90° is the same as the angle DBC which is also 90°

4) John's sister is 8 years less than twice his age. If John is 39, what age is his sister?

Answers

Answer:

Sister is 70

Step-by-step explanation:

John is 39.

8 less than twice his age is

39*2-8 = 70

Answer:

70 years old.

Step-by-step explanation:

Since John's sister is 8 years younger than TWICE his age, we just need to multiply 39*2 which equals 78. Now we just need to subtract 8 which equals 70.

Hope this helps!! <3

what is 2.267676767 as a fraction

Answers

Answer:

2267676767/1000000000

Step-by-step explanation:

To write 2.267676767 as a fraction you have to write 2.267676767 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.267676767 = 2.267676767/1 = 22.67676767/10 = 226.7676767/100 = 2267.676767/1000 = 22676.76767/10000 = 226767.6767/100000 = 2267676.767/1000000 = 22676767.67/10000000 = 226767676.7/100000000 = 2267676767/1000000000

And finally we have:

2.267676767 as a fraction equals 2267676767/1000000000

Hope it helps.. If yes mark me BRAINLIEST!!

TYSM!

Answer:

2267676767/1000000000

Step-by-step explanation:

when converting a decimal to fraction,

write down the decimal divided by 1 and than add as many zeros as the digits after the decimal point.

since we have nine digits after the decimal point  nine zeros are put after the '1'

What is the range of the function represented by this graph?​

Answers

Answer:  The range is real numbers less than 1

[1, -∞)  

Step-by-step explanation:  The range is all the y-values.  The top of the parabola (vertex) is at 1 above the x-axis. You have to look at the scale and notice that the scale is in increments of 2, The vertex is between 0 and 2. The parabola extends down to negative infinity.

Answer:

y < 1

(the < has a line underneath it)

Step-by-step explanation:

{b(1)=-2 {b(n)=b(n-1)-7 What’s the 3rd term?

Answers

Answer: the answer is b(5)

Step-by-step explanation:

To find the third term work backwards and plug it in. That was when you plug the solution of b(n-1) everything fits.

Answer:

b(3)=-16

Step-by-step explanation:

We have to figure out the second term

b(2)=b(1)-7

b(2)=-2-7

b(2)=-9

and now the third one

b(3)=b(2)-7

b(3)=-9-7

b(3)=-16

Hassan built a fence around a square yard. It took 48 m^2 of lumber to build the fence. The fence is 1.5 meters tall.

Answers

Answer:

Step-by-step explanation:

Please check ones more because this might be incorrect.

The area is in square meters...Let's change it

Square 48= 48*48 =2304

2304 divided by 4( 4 since the formula for the area of a sqaure is s*s and square has 4 sides)

2304 divided by 4 = 576

The formula for area of a square is S*S(side times side)

Let's apply the formula here.

so, 576 times 576

331776 square meters

Hope this is right and helps! :)

( This just my point of view. Please check this onces again)

Answer:

the answer is 64

Step-by-step explanation:

khan

HELPPPP,Which of the following choices is the length of AB if A (-3, -2) and B (5, -4)? AB = 2 AB = 68 AB = 4 None of these choices are correct

Answers

Answer: [tex]\sqrt{68}[/tex] units is the exact length of AB

===============================================

Explanation:

Use the distance formula to get this answer. The idea is you subtract the x coordinates together, and do the same for the y coordinates as well. Square each result and add up those squares. The last step of the formula is to apply the square root to get the distance from A to B, which is also the length of segment AB.

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(-3-5)^2+(-2-(-4))^2}\\\\d = \sqrt{(-3-5)^2+(-2+4)^2}\\\\d = \sqrt{(-8)^2+(2)^2}\\\\d = \sqrt{64+4}\\\\d = \sqrt{68}\\\\[/tex]

Therefore, [tex]AB = \sqrt{68}[/tex]

ASAP!! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)

Answers

Answer:

Third option is the correct answer (1/2 = e^{2k})

Step-by-step explanation:

Since, N =1/2 Nt

Therefore, 2N = Nt.... (1)

We are given that:

N= Nt e^{kt}

N = 2N e^{2k} (since, 2N =Nt and t =2)

N/2N = e^{2k}

1/2 = e^{2k}


A carnival is selling ride tickets 5 for $6, 10 for $12, or 15 for $18. What is
the cost per ticket?

Answers

Answer:

one ticket is $1.20

Step-by-step explanation:

6 / 5 = 1.2, then check it by multiplying 1.2 x 5. Its easier than you think. Im positive im correct. All you have to do is one but if u want to make sure you can do all of them

Answer:

$1.20

Step-by-step explanation:

If you divide the price of a ticket bundle by the amount of tickets, you get the individual ticket price.

5 tickets for $6.

6/5 = 1.2

10 tickets for $12.

12/10 = 1.2

15 tickets for $18

18/15 = 1.2

If anyone doesn't mind helping may you plz help me

Answers

Answer:

SAS

Step-by-step explanation:

Please let me know if this doesn't help. I'm trying my best to relearn this so I can help you.

SAS Postulate

we know that the triangles (as a whole) as vertical angles meaning they are congruent. We also know FD and BD are congruent to themselves by the reflexive property. And the last side is already congruent (it’s given) :))

please helllppppp ....thx if u do​

Answers

Answer

Complete the sentence

There were 240 more people shopping in 2019 than 2020

hurry please!! The equation cos35°=a/25. What is the length of the line BC? Round to the nearest 10th

Answers

Answer:

25 is the same lenghth rounded

Step-by-step explanation:

aproximitly it rounded to the 10

Triangle RST was dilated with the origin as the center of dilation to create triangle R'S'T'. The triangle was dilated using a scale factor of 34. The coordinates of the vertices of triangle RST are given. You can use the scale factor to find the coordinates of the dilated image. Enter the coordinates of the vertices of triangle R'S'T' below. (Decimal values may be used.)

Answers

Answer:

Multiply every coordinate from the old one by 0.75

Step-by-step explanation:

I just did this question so I didn't need your photo. And I got it right. Hope this helps anyone else stuck on a similar question.

The rule is to multiply the old coordinates/sides by the scale factor, if its a fraction convert it to a decimal and then multiply like I did.

Answer:

x, y ----> 3/4x, 3/4y

Step-by-step explanation:

ali needs to solve the equation x^2 + 6x + 22 = 0 by completing the square. which pair of steps is the most efficient way to begin?

a. x^2 + 6x + 9 = -22 + 9

b. x^2 + 6x + 36 = -22 + 36

c. x^2 + 6x + 3 = -22 + 3

d. x^2 + 6x + 81 = -22 + 81

Answers

Answer:

a. x² + 6x + 9 = -22 + 9

Step-by-step explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.

Answer:

In TTM/Imagine Math it is top left or a.

Step-by-step explanation:

Which equation is represented by the graph below?

Answers

Answer: A. y-In x-3

explanation:

Select the correct answer.
What is the solution for x in the equation?
25
-- + = 22
-
O A.
T =
-
1+
OB.
=
+10 +
OC.
+
OD.
=

Answers

Answer:

x = 4/3

Step-by-step explanation:

move (combine) your X's on one side

combine like terms

divide and multiply

Answer:

[tex]x = \frac{4}{3} [/tex]

Option B is the correct option.

Step-by-step explanation:

[tex] - x + \frac{3}{7} = 2x - \frac{25}{7} [/tex]

Move variable to L.H.S and change its sign

Similarly, Move constant to R.H.S and change its sign

[tex] - x - 2x = - \frac{25}{7} - \frac{3}{7} [/tex]

Collect like terms

[tex] - 3x = - \frac{25}{7} - \frac{3}{7} [/tex]

Calculate the difference

[tex] - 3x = - 4[/tex]

Divide both sides of the equation by -3

[tex] \frac{ - 3x}{ - 3} = \frac{ - 4}{ - 3} [/tex]

Calculate

[tex]x = \frac{4}{3} [/tex]

Hope this helps..

Best regards!

Write 5x^2 - 10x + 4 in vertex form.

Answers

Answer:

y=5(x-1)^2-1

Step-by-step explanation:

Answer:

5(x - 1)² - 1

Step-by-step explanation:

Given

5x² - 10x + 4

Using the method of completing the square

The coefficient of the x² term must be 1 , so factor out 5 from the first 2 terms

= 5(x² - 2x) + 4

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

= 5(x² + 2(- 1)x + 1 - 1 ) + 4

= 5(x - 1)² - 5 + 4

= 5(x - 1)² - 1 ← in vertex form

Which example illustrates the commutative property of addition for polynomials?

Answers

Answer:

             The fourth.

Step-by-step explanation:

The alternation of addition means you can swap places of components of sum.

(2x²+5x) and (4x²-4x) are polynominal components of the sum: (2x²+5x)+(4x²-4x)

Answer:

D

Step-by-step explanation:

got it right on edge

Please help don't understand at all​

Answers

(i) Note that it is given to you that 3a + 2b = 9

You are trying to find the value of 9a + 6b. Find what is multiplied to both the variable a & b. Divide:

(9a + 6b)/(3a + 2b) = 3

Next, multiply 3 to the 9 on the other side of the equation:

3 x 9 = 27

27 is the value of 9a + 6b.

(ii) Note that it is given to you that 8x + 6y = 60

You are trying to find the value of 4x + 3y. Find what is multiplied to both the variable x & y. Divide:

(8x + 6y)/(4x + 3y) = 2

Next, divide 2 from the 60 on the other side of the equation:

60/2 = 30

30 is the value of 4x + 3y.

~

Answer:

(i) 27, (ii) 30

Step-by-step explanation:

i. since 9a + 6b is 3 times 3a + 2b then the and is 3 times 9 = 27

ii. since 4x + 3y is half of 8x + 6y then 60 /2 = 30

Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hoped to meet a 2018 goal of 30.2 mpg or better for their fleet of cars. To see if the goal is being met, they check the gasoline usage for 50 company trips chosen at random, finding a mean of 32.12 mpg and a standard deviation of 4.83 mpg. Is this strong evidence that they have attained their fuel economy goal

Answers

Answer:?

Step-by-step explanation:

Find SP when CP=Rs.400 and proft%=4%

Answers

Answer:

[tex]\boxed{Selling\ Price = Rs.\ 424}[/tex]

Step-by-step explanation:

Cost Price = Rs. 400

Profit = 4 % of Cost Price

=> [tex]\frac{4}{100} * 600[/tex]

=> 4 * 6

=> Profit = Rs. 24

Now, Selling Price = Cost Price + Profit

Selling Price = 400+24

Selling Price = Rs. 424

Answer:

Selling price = ₹ 416

Step-by-step explanation:

Cost Price = ₹ 400

Profit% = 4 %

Profit  =  4 % of  cost price

          = [tex]\frac{4}{100}*400\\\\[/tex]

          = 4 * 4

          = ₹ 16

Selling price = Cost price + profit

                    = 400 + 16

                    = ₹ 416

Which of the following best describes the slope of the line below?

Answers

Answer:

I think positive

Step-by-step explanation:

Answer:

zero, D

Step-by-step explanation:

a horizontal line (left to right) would be zero

a verticle line (up and down) would be undifined

Find the radius of a circle that has an arc whose central angle measures 17 degrees and has a length of 12 degrees.

Answers

Answer:

The radius of the circle is 40.44 cm

Step-by-step explanation:

We can use the formula for the arc of a circle of radius R and central angle [tex]\theta[/tex], where [tex]\theta[/tex] is given in radians (we therefore convert [tex]17^o[/tex] into radians with [tex]17^o\,\pi/180^o=0.2967[/tex] radians)

[tex]arc=R\,\theta\\12\,cm= R\,\theta\\12\,cm=R\,(0.2967)\\R=\frac{12}{0.2967} \,cm\\R=40.44\,cm[/tex]

g(x)=x2+4 make a table of values

Answers

Answer:

Step-by-step explanation:

You can make a table of values by plugging in values to x^2+4.

If x=1 the answer is 5

If x=2 the answer is 8

If x=3 the answer is 13

If x=4 the answer is 20

If x=5 the answer is 25.

And we have a table of values!

another scale drawing of Jimmy's living room is shown below:

If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?

Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet

Answers

Answer:

last option

Step-by-step explanation:

Again, 1 cm represents 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.

after 15 years mary age will be fourtimes of her present age find her present age​

Answers

Her present age would be 5 because 4m=m+5 which would then turn into 3m=15 because you would subtract the m from both sides and end up with 3m+15, then you would divide 3 to both sides which would then give u an answer of m=5

A chemist whishes to prepare 100 liters of 45% purity of sulphuric acid .He has two kinds of acid solutions in stock ,one is 55% pure and the other is 30% pure .How many leters of each kind should be used for the mixture?

Answers

Answer:

the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

Step-by-step explanation:

From the given information,

Let x be the litres of 55% pure solution

Let y be the litres of 30% pure solution

Also;

Given that our total volume of solution is  100 litres

x+y =100  ---- (1)

The total solution of pure by related by the sum of the individual pure concentrations to make up the concentration of final solution.

(0.55)(x)+(0.30)(y) = 0.45(100) ---- (2)

From equation (1)

Let ; y = 100 - x

Replacing the value for y = 100 - x into equation (2)

(0.55)(x)+(0.30)(100-x) = 0.45(100)

0.55x + 30 - 0.30x = 45

0.55x - 0.30x = 45 - 30

0.25x = 15

x = 15/0.25

x = 60 liters of 55% solution

From ; y = 100 - x

y = 100 - 60

y = 40  litres of 30% solution.

Therefore, the chemist should use 60 liters of 55% solution and 40  litres of 30% solution in order to prepare 100 liters of 45% purity of sulphuric acid.

My state's lottery has 30 white balls numbered from 1 through 30 and 20 red balls numbered from 1 through 20. In each lottery drawing, 3 of the white balls and 2 of the red balls are drawn. To win, you must match all 3 white balls and both red balls, without regard to the order in which they were drawn. How many possible different combinations may be drawn?

Answers

Answer:

I dont give you the answer right away so you will read what i write and fully understand :D

Step-by-step explanation:

We are picking 3 balls from 30 balls, so its C(30,3) because the order of picking the balls doesnt matter. We also need to pick 2 balls from 20 balls, which is C(20,2). So the answer is C(30,3) * C(20,2).

In isosceles triangle the length of the base is twice shorter than the length of a leg. The perimeter of this triangle is 50 cm. Find the lengths of all sides.

Answers

Answer:

The base is 10cm. The other two sides are 20cm each

Step-by-step explanation:

I believe that "the base is twice shorter" means that the two equal sides of the iscosceles triangle are twice the length of the base.

Using the equation x + 2x +2x = 50 where x is the length of the base, we can simplify it to

5x=50. Then divide both sides by 5 to get the results:

x=10 for the base and

2x=20 for the other two sides.

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