Find the area of the figure

Find The Area Of The Figure

Answers

Answer 1

Step-by-step explanation:

there is one central rectangle :

from (-4, 2) to (2, -2).

that means it dimensions are 6×4 (for x from -4 to +3, for y from +2 to -2).

and then there are 3 additional triangles

(2, -4) (2, 2) (6, 2)

(-4, -2) (2, -2) (2, -4)

(-6, 2) (-4, 2) (-4, -2)

with the leg lengths

(2, -4) to (2, 2) = 6, and (2, 2) to (6, 2) = 4

(-4, -2) to (2, -2) = 6, and (2, -2) to 2, -4) = 2

(-6, 2) to (-4, 2) = 2, and (-4, 2) to (-4, -2) = 4

the area of the rectangle is

6×4 = 24 square units

the area of the first triangle is

6×4/2 = 3×4 = 12 square units

the area of the second triangle is

6×2/2 = 6 square units

the area of the third triangle is

2×4 = 8 square units.

so, the total area is

24 + 12 + 6 + 8 = 50 square units.


Related Questions

What is the quotient?
5^-6/5^3

Answers

Heyo!

SaddySokka is here to help!!

Let's do this step-by-step explanation!

[tex]=\frac{5^-^6}{5^3}[/tex]

[tex]=5^-^6^-^3[/tex]

[tex]=5^-^9[/tex]

[tex]=\frac{1}{5^9}[/tex]

Answer:

A. [tex]\frac{1}{5^9}[/tex]

Hopefully, this helps you!!

Have a great day!!

SaddySokka~

Why did the 1979 iran hostage crisis happen?

Answers

yes it is uses in1979 there ie big tsunami

Answer:

the American Embassy in Tehran was overrun and its employees taken captive.

Step-by-step explanation:

Determine the equation of the circle with radius 99 and center (-1,-8)(−1,−8).

Answers

Equations of Circles

Generally, you'd see the equation of a circle organized in the following format:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

[tex](h,k)[/tex] is the center[tex]r[/tex] is the radius

To determine the equation given the center and the radius:

Plug both pieces of information into the general equationSimplify

Solving the Question

We're given:

Radius: 99Center: (-1,-8)

Plug the radius and center into the equation as r and (h,k):

[tex](x-(-1))^2+(y-(-8))^2=99^2\\(x+1)^2+(y+8)^2=9801[/tex]

Answer

[tex](x+1)^2+(y+8)^2=9801[/tex]

Determine the number of real solutions each quadratic equation has. y = 12x2 - 9x 4 real solution(s) 10x y = -x2 2 real solution(s) 4y - 7 = 5x2 - x 2 3y real solution(s) y = (-x 4)2 real solution(s)

Answers

All the given equations have 2 real solutions except for equation 4 which has only one real root.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given quadratic equation

[tex]y = 12x^2 - 9x+ 4[/tex]

where, a = 12, b = -9 and c = 4

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

x = [tex]-(-9)+ \sqrt{(-9)^2 - 4(12)(4)} /2(12)[/tex]

x = 1.063 or -0.313

Second Equation

[tex]10x +y = -x^2 +2 \\y = x^{2} +10x - 2[/tex]

where, a = 1, b = 10, c = -2

substitute the values into the equation

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

[tex]-10 + \sqrt{10^2 - 4(1)(-2)} /2(1)[/tex]

x = 0.195 or -10.195

Third Equation

[tex]4y - 7 = 5x^2 - x +2 +3y[/tex]

[tex]y = 5x^{2} -x -5[/tex]

where, a = 5, b = -1, c = - 5

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

[tex]-(-1) + \sqrt{(-1)^2 - 4(5)(-5)} /2(5)[/tex]

x = 0.905 or -0.55

Fourth Equation

[tex]y = (-x +4)^2 \\y = x^{2} -8x +16[/tex]

where, a = 1, b = -8, c = 16

x = [tex]-b + \sqrt{b^2 - 4ac} /2a[/tex]

x = [tex]-(-8) + \sqrt{(-8)^2 - 4(1)(16)} /2(1)[/tex]

x = 4

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Answer:

y = 12x2 - 9x + 4

✔ no

real solution(s)

4y - 7 = 5x2 - x + 2 + 3y

✔ no

real solution(s)

10x + y = -x2 + 2

✔ two

real solution(s)

y = (-x + 4)2

✔ one

real solution(s)

Step-by-step explanation:

hope this helps:)

The ratio of rides to games at the fair is 3 to 4. If there are 27 rides at the fair, how many games are there?

Answers

Answer: 36

Step-by-step explanation: Ratio 27:36 is also 3:4

Answer:

36 games

Step-by-step explanation:

since the ratio is 3:4 we must get what the original is.

27/3=9

27+9=36

27:36

Sam would like to use his extensive stamp collection as collateral for a secured loan. sam has documentation that says his stamp collection is worth $10,525.00. sam's bank has a policy that permits loan officers to lend no more than 82.5% of the value of the collateral. what is the maximum loan amount sam can get from his bank using his stamp collection as collateral? a. $8,683.13 b. $9,700.00 c. $10,525.00 d. $12,382.35 please select the best answer from the choices provided a b c d

Answers

Answer:

A on edge 2021

Step-by-step explanation:

I got it correct.

Melinda kept a record of her spending for the week. she spent $25 to put gas in the car, bought a new shirt for a total of $22.38, played putt-putt golf with some friends that cost $6.95 and paid $38.71 for a few groceries. what was the total of melinda’s expenses for the week? a. $68.24 b. $86.09 c. $91.94 d. $93.04 please select the best answer from the choices provided a b c d

Answers

The total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

What is expenses?

It is defined as the money spends on the utility, the amount of money is required to buy something in other words it is the outflow of money from the solely earners income or the money incurred by any organization.

Melinda kept a record of her spending for the week as follows:

The amount she spent money to put gas in the car = $25

The amount to buy a new shirt = $22.38

The amount to play putt-putt golf with some friends = $6.95

The amount to buy groceries = $38.71

To calculate the total expenses for the week, we must add all the expenses:

= $25+$22.38+$6.95+38.71

= $93.04

Thus, the total of Melinda's expenses for the week is $93.04 option (c) $91.94 is correct.

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The diagram below is used to sort out numbers.
Type each number in the correct location on the diagram.

7 8 9 10

Answers

Answer is : prime number is 7-8 odd number is 9 cube number is 10

7, 7, 9, 27, 27, are the numbers that we can fill these boxes starting from left.

What is a prime number?

A prime number is not a composite number, prime numbers are only divisible by the number itself and one.

An example of a prime number is 2 which is only divisible by 2 and 1 it is also the only even prime number.

The only prime number is 7.

The intersection of prime and odd numbers is 7.

The only odd number is 9.

The intersection of odd and cube numbers is 27.

The only cube number is 27.

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Rachel currently has $836 in a savings account that has earned 4. 5% annual compound interest for the past year. What was Rachel’s beginning balance one year ago if she has made no other deposits during the year?

Answers

you would need to find 4.5% off of that $836 so 836 x 0.045= 37.62 now subtract that from the OG price so 836-37.62= 798.38 so one year ago her balance was $798.38

Rachel's beginning balance one year ago was $800.

What is compound interest?

Compound interest is applicable when there will be a change in the principle amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.

Given that,

The current balance is $836 which is the result of compound interest of 4.5 % annually.

The original amount was a priciple amount P on which interest was applied and the final amount $836 made.

Compound interest formula;

A = P[ 1 + RT/100]^T

Where A is the final amount and T is the time period.

Here,

A = 836 , R = 4.5% and T = 1 year.

So,

836 = P[1 + 4.5/100]^1

P = 836/1.045 = $800

Hence "Rachel's beginning balance one year ago was $800".

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What is Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3? –78 –24 30 54

Answers

All polynomials are continuous, so the limit can be evaluated by direct substitution:

[tex]\displaystyle \lim_{x\to-3} (x^3+3x^2+4x-12) = (-3)^3+3(-3)^2+4(-3)-12 = \boxed{-24}[/tex]

The Limit of (x cubed + 3 x squared + 4 x minus 12) as x approaches negative 3 is -24.

What are polynomials?

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

All polynomials are continuous, so the limit can be evaluated by direct substitution:

[tex]\lim_{x \to {-3}} x^3 + 3 x ^2+ 4 x - 12\\\\= (-3)^3 + 3 (-3)^2+ 4 (-3)- 12\\\\= -24[/tex]

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I need this done quick.

Answers

Answer:
460

Steps:
The Arithmetic Series formula is:
S = n( (a1 + an) / 2)

Take note that:

S = the sum of n terms
n = number of terms
a1 = the first term
an = the last term

We are given n, a1, an. Let’s solve for S.

S = 20( (18 + 28) / 2)
18 + 28 = 46
46 / 2 = 23
20 * 23 = 460

please help asap tysm <33

Answers

Basically same as 5.1 - 1.2 = 3.9

What is the center of a circle represented by the equation (x 9)2 (y−6)2=102? (−9,6) (−6,9) (6,−9) (9,−6)

Answers

The center of the circle (x + 9)² + (y − 6)² = 10² is at (-9, 6) and the radius of the circle is 10 units.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

(x + 9)² + (y − 6)² = 10²

Then the center of the circle is at (-9, 6) and the radius of the circle is 10 units.

More about the circle link is given below.

https://brainly.com/question/11833983

Answer:

A. (-9, 6)

Step-by-step explanation:

i did it B)

Lorne subtracted 6x3 – 2x 3 from –3x3 5x2 4x – 7. use the drop-down menus to identify the steps lorne used to find the difference. 1. (–3x3 5x2 4x – 7) (–6x3 2x – 3) 2. (–3x3) 5x2 4x (–7) (–6x3) 2x (–3) 3. [(–3x3) (–6x3)] [4x 2x] [(–7) (–3)] [5x2] 4. –9x3 6x (–10) 5x2 5. –9x3 5x2 6x – 10

Answers

The difference between the polynomial is [tex]\rm 9x^3-5x^2-6x+10[/tex].

What is subtraction?

The subtract means to take away from a group or a number of things.

Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7.

The difference between the expression is;

[tex]\rm ( 6x^3 - 2x + 3 )- (-3x^3 + 5x^2 + 4x - 7)[/tex]

[tex]\rm 6x^3 - 2x + 3 +3x^3 -5x^2 -4x +7\\\\9x^3-5x^2-6x+10[/tex]

Hence, the difference between the polynomial is [tex]\rm 9x^3-5x^2-6x+10[/tex].

To know more about subtraction click the link given below.

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please help me please

Answers

Answer:

Step-by-step explanation: y axis is 6units up (y=+6)

X axis is 2units to the right. (×=+2)

Three times the sum of a number and 7 is 4.

Answers

n is -1, and to get that you would need to have the equation 3(n)+7=4 since it says "three times (so parenthesis) the sum (plus sign) of a number 3(n)+7 and is means equal, so to 4.

Hey everybody how are you doing do you have any plans for Easter? What is your favorite holiday or book? What is your favorite subject in school do you like school?

Answers

Answer:

hey i am doing god how are you and i dont know what i am doing for easter. My favorite holiday is christmas and easter. My favorite subjects in school are math and reading. I love school.

Step-by-step explanation:

what is an equation of the line that passes through the point (-2,-8) and has a slope of 3?

a) y=3x-2
b) y=3x-22
c) y=3x+2
d) y=3x+22

Answers

Answer:

y = 3x -2

Step-by-step explanation:

General equation of a line in the slope intercept form is

y = mx + b ,

where m is the slope and b is the y-intercept ( where intercepts the y-axis)

y = 3x + b ,

because is given slope is m = 3

For point (x = -2, y = -8) we have

-8 = 3 (-2) + b

-8 = -6 + b

-8 + 6 = b

-2 = b

The equation of the line that passes through the point (-2,-8) and has a slope of 3 is

y = 3x -2

Which is a larger volume, a candle with a height of 6. 3 inches and a radius of 3. 1 inches, or a candle with both a height and a radius of 3. 9 inches?

Answers

Working out:
H = height
R = Radius
A = area

Volume of a cylinder = A x H

Area of circle = Pi x (R^2)

Label the candles, Candle X and Candle Y

(X being the one with 3.1 inches and Y being the one with 3.9)

*CANDLE X*
3.1 x 3.1 = 9.61
9.61 x pi (3.14) = 30.1754
30.1754 x H (6.3) = 190.10502cm^3

*CANDLE Y*
3.9 x 3.9 = 15.21
15.21 x pi (3.14) = 47.7594
47.7594 x H (3.9) = 186.26166cm^3

CANDLE X HAS THE LARGER VOLUME BY 3.84336CM^3

this make no sense:
find the distance between the pair of points.
(2, 0) and (-1, 1)
A. 0
B. 2
C. 1.4
D. 3.2

Answers

Answer:

D is correct.

Step-by-step explanation:

Hoped this helped!

Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!Hoped this helped!

Answer:

3.2

Step-by-step explanation:

Distance forumla

[tex]y = \sqrt{(x1 - x2)^2 + (y1-y2)^2}[/tex]

[tex]y = \sqrt{(2 - (-1))^2 +(0-1)^2} \\ y = \sqrt{10} \\y = 3.2[/tex]

What is the lower quartile of the following data set
53,49,43,59,63,76,40,71,47,66,57,30,48,58,35

Answers

The lower quartile is 43.

sin^2θtanθ+cos^2θcotθ+2sinθcosθ=tanθ+cotθ

Answers

[tex]\text{L.H.S}\\\\=\sin^2 \theta \tan \theta + \cos^2 \theta \cot \theta+2\sin \theta \cos \theta \\\\\\=\sin^2 \theta \cdot \dfrac{\sin \theta}{\cos \theta} + \cos^2 \theta \cdot \dfrac{\cos \theta}{\sin \theta} + 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^3 \theta}{\cos \theta}+ \dfrac{\cos^3 \theta}{\sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{\sin^4 \theta + \cos^4 \theta}{\cos \theta \cdot \sin \theta}+ 2\sin \theta \cos \theta\\\\[/tex]

[tex]=\dfrac{(\sin^2 \theta)^2 + (\cos^2 \theta)^2 }{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{(\sin^2 \theta + \cos^2 \theta)^2-2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\sin \theta \cos \theta\\\\\\=\dfrac{1-2 \sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}+ 2\ sin \theta \cos \theta\\\\\\=\dfrac{1-2\sin^2 \theta \cos^2 \theta+2\sin^2 \theta \cos^2 \theta}{\cos \theta \sin \theta}\\\\=\dfrac 1{\cos \theta \sin \theta}\\\\[/tex]

[tex]=\dfrac{\sin^2 \theta + \cos^2 \theta}{\sin \theta \cos \theta}\\\\\\=\dfrac{\sin^2 \theta}{\cos \theta \sin \theta}+\dfrac{\cos^2 \theta}{\cos \theta \sin \theta}\\\\\\=\dfrac{\sin \theta}{\cos \theta}+\dfrac{\cos \theta}{\sin \theta}\\\\\\=\tan \theta + \cot \theta\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

A cube is a regular prism with square faces. How can you write a simpler version of the surface area formula for a cube?

Answers

Answer:

A cube is a rectangular prism where all its sides are the same. The formula to find the surface area of a rectangular prism is A = 2wl + 2lh + 2hw, where w is the width, the l is the length, and the h is the height.

The surface area formula for a cube is 6l²

How to determine the surface area?

A cube has the following features:

6 faces of equal areasEach face has equal side length

The area of a face of a cube is:

Area = l²

Where l represents the side length

The surface area formula for a cube is then calculated using:

Surface area = 6 * Area of a face

So, we have:

Surface area = 6 * l²

Surface area = 6l²

Hence, the surface area formula for a cube is 6l²

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The depth of two lakes is measured at multiple spots. For the first lake, the mean depth is about 45 feet with a mean absolute deviation of 8 feet. For the second lake, the mean depth is about 60 feet with a mean absolute deviation of 27 feet.


Noah says the second lake is generally deeper than the first lake. Do you agree with Noah?



No, I do not agree with Noah because the second lake has greater variability with a higher MAD so even though the mean depth is deeper the data is very spread out away from that mean.


No, I do not agree with Noah. The MAD tells us how deep it is and the 1st MAD is more.


Yes, I agree with Noah. The MAD tells us how deep it is and the second MAD is more.


Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second.

Answers

Answer:

Yes, I agree with Noah because the first lake has a smaller mean and MAD than the second

Step-by-step explanation:

Fill in the table using this function rule.
y=15-3x

x y
1:
3:
4:
5:

Answers

Answer:

(1,12) ; (2,9) ; (3,6) ; (4,3) ; (5,0)

Step-by-step explanation:

You need to plug the x values into the equation.

Your equation: y=15-3x


Example:

Plug in 1

y=15-3

y=12

Plug in 2:

y=15-3(2)

y=15-6

y=9

Plug in 3:

y=15-3(3)

y=15-9

y=6

Plug in 4:

y=15-3(4)

y=15-12

y=3

Plug in 5:

y= 15-3(5)

y=15-15

y=0

what percent of numbers of the muffins sold were carrot

Answers

15%

Tell me if this helps
Please mark me as brainliest

A copper wire is submerged in a clear liquid in container A. After a while, the contents of the container changed to look like what is in container B, with a white crystal coating on the copper wire and the liquid turning light blue. Which are indicators that a chemical reaction has occurred? Check all that apply.

formation of a flame
formation of a precipitate
formation of a gas
change in odor
change in color

Answers

Answer:

B) formation of a precipitate
E) change in color

Step-by-step explanation:

just did the assignment on e.d.g.e

Answer:

B and E is correct

Step-by-step explanation:

Triangle LMN is similar to triangle OPQ. Find the measure of side PQ. Round your answer to the nearest tenth if necessary.

Answers

The measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4

What are similar triangles?

Similar triangles are triangles that have equal sides and angles. The ratio of the similar sides is a constant.

According to the triangle given:

PQ/17 = OQ/LM
PQ/17 = 49/12
12PQ = 833
PQ = 69.4

Hence the measure of PQ if the triangle LMN is similar to triangle OPQ is 69.4

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Please help me on this!!

Answers

Answer:

Pretty sure it's "only i"

Step-by-step explanation:

A constant rate of change means that something changes by the same amount during equal intervals.

$30 is the same amount whereas 10% could vary.

Hope this helps.

What is the missing value in the table below?
Number of Books
3. $10.00
9. $30.00
18. $60.00
$80.00

Answers

Answer:

24 books

Step-by-step explanation:

Books are valued at $10/3 books.  18 books would have a value of (18books)*($10/3books) = $60, and so on.

X books would have a value of X($10/3)=$80

X = ($80)*(3/$10)

X = 24 books

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