Why is the Area for my shape not correct and can you explain why?

Why Is The Area For My Shape Not Correct And Can You Explain Why?

Answers

Answer 1

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have given

2 squares , In which 1 square is enclosed within the another square and it arranged in a form that it forms 4 right angled triangle The height and base of the given right angled triangles are 6 and 3 each.

We know that,

Area of triangle

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]

Subsitute the required values,

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]

[tex]\sf{ = 3 {\times} 3 }[/tex]

[tex]\bold{ = 9 }[/tex]

Therefore,

Area covered by 4 right angled triangles

[tex]\sf{ = 4 {\times} 9 }[/tex]

[tex]\bold{ = 36}[/tex]

Now,

We have to find the area of the big square

The length of the side of the big square[tex]\sf{ = 6 + 3 = 9 }[/tex]

We know that,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 9 {\times} 9 }[/tex]

[tex]\bold{ = 81 }[/tex]

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

[tex]\sf{ = 81 - 36 }[/tex]

[tex]\bold{ = 45 }[/tex]

Hence, The total area of shaded region is 45 .

Part 2 :-

Here,

We have to find the area of non shaded region

According to the question

Hypotenuse = The length of square

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

This theorem states that the sum of the squares of the base and perpendicular height is equal to the square of hypotenuse.

That is,

[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]

Subsitute the required values

[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]

[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]

[tex]\sf{ x = \sqrt{45}}[/tex]

[tex]\bold{ x = 6.7 }[/tex]

That means,

The length of the small square = 6.7

We know that ,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]

[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

[tex]\sf{ = 81 - 44.9 }[/tex]

[tex]\bold{ = 36.1 }[/tex]

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Part 3 :-

Here, we have to

find the total area of the figure

Therefore,

The total area of the figure

= Non shaded region + Shaded region

[tex]\sf{= 36 + 45 }[/tex]

[tex]\bold{= 81}[/tex]

Hence, The total area of the given figure is 81 .


Related Questions

which is closer to -3/5 … 2/5, -0.2, -4/5, 0.6

Answers

-3 : 5 = - 0,6

so it will be - 4/5  (= - 0,8)

Help me please jzjskksksjdjkdkdkdjjdkdkdkeskskkskskkskskkskssskskskkkss

Answers

Answer:

224

Step-by-step explanation:

To work out the area of any prism:

Area of cross sectional area x width

In this case, work out the area of the rectangle and multiply by 7

8 x 4 = 32

32 x 7 = 224

I will give braniest An orange has a diameter of 3 in. and a grapefruit has a diameter of 4 in. What is the approximate difference in the volume of the two fruits?

A.
5 in.3

B.
7 in.3

C.
19 in.3

D.
29 in.3

Answers

7 in.3 hope it helps

Find the hypotenuse, , of the triangle

Answers

Answer:

hypoténuse =  15  in

b ² = 15² - 9²

b ² = 144

b = √144 = 12

Perimeter =  15 + 9 + 12 = 36 inches

Step-by-step explanation:

SOLVING

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the missing side of the triangle.

[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]

We should find the leg of this right triangle, not the hypotenuse.

The hypotenuse, the longest side, is already given to us.

We can find it using Pythagoras' Theorem:

[tex]\Large\textbf{$a^2+b^2=c^2$}[/tex].

We know b and c, we need to find a.

[tex]\bf{a^2+9^2=15^2}[/tex] | square

[tex]\bf{a^2+81=225}[/tex] | subtract 81

[tex]\bf{a^2=144}[/tex] | square-root both sides

[tex]\bf{a=\pm12}[/tex]

And we should automatically cross out this extraneous solution of "a=-12", because side lengths can't be negative!

[tex]\cline{1-2}[/tex]

[tex]\bf{Result:}[/tex]

             [tex]\bf{a=12}[/tex]

[tex]\LARGE\boxed{\bf{aesthetic\not1\theta\ell}}[/tex]

Solving distance problems-
10 points

Answers

Answer:

1.  54 and 9/20 km

2. 80 mm

3. 1.142 mi

4.0.83333 cm

Step-by-step explanation:

Do them all  by the butterfly method.

PLEASE ANSWER ASAP.
A snowball has a diameter of 6 cm.

What is the volume of the snowball?

How long would it take a snowball to melt if it melts at a rate of 1.8 cubic centimeters per minute?

Answers

Answer:

Volume: 37.7cm3

It will melt in 21 minutes.

Step-by-step explanation:

Volume of a sphere: 4/3 x pi x r^2

4/3 X pi x 3^2 = 37.7cm3

37.7/1.8=20.943 minutes

Simplify.
Rewrite the expression in the form 8".
(8-8)(83) =

Answers

Answer:

Simplifying th exprsssion brings it down to zero

Hope this helps

A movie director needs to purchase 325 films. The film has a volume of 965 in', and the density of each film is 7.6 g/in?. Each film can be purchased for $0.34 per kilogram. What is the cost of the films?

Answers

The volume of the films is the amount  of film in the case

The cost of the films is $810.41

How to determine the cost of the films?

The given paramerers are:

Volume = 965 cubic inchesDensity = 7.6 gram per cubic inches

The mass of the films is calculated as:

Mass = Density * Volume

This gives

Mass = 7.6 * 965 g

Evaluate

Mass = 7334 g

Express as kg

Mass = 7.334 kg

The unit cost is:

Unit cost =  $0.34 per kilogram

The number of films is

n = 325

So, the total cost

Total = 325 * 0.34 * 7.334

Evaluate

Total = 810.41

Hence, the cost of the films is $810.41

Read more about unit rates at:

https://brainly.com/question/26059245

Bao is mixing flour and water to make dough. The graph shows how much water he uses for different amounts of flour.

How many liters of water does Bao use per liter of flour?

Answers

Answer: He uses two litres of water for one litre of flour.

Step-by-step explanation:

For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8

Answers

Answer:

No it is not a solution to 6u-1<-19

select all fo the expressions that are equivilent to 6x + 1 -(3x-1)

Answers

6x+1-(3x-1)

6x+1-3x+16x-3x+1+1

=3x+2

Please help me solve this

Answers

Answer:

x = 24

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m +n)}[/tex]

consider left side

[tex]5^{\frac{x}{6} }[/tex] × [tex]5^{\frac{x}{2} }[/tex]

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

= [tex]5^{\frac{4x}{6} }[/tex]

then

[tex]5^{\frac{4x}{6} }[/tex] = [tex]5^{16}[/tex]

since the bases on both sides are equal, both 5 then equate exponents

[tex]\frac{4x}{6}[/tex] = 16 ( multiply both sides by 6 )

4x = 96 ( divide both sides by 4 )

x = 24

Will give Brainly Fivue starts and a tThanks

Answers

Answer:

y = x + 9

Step-by-step explanation:

Since each x input can be added by 9 to get the y outputs, the equation is y=x+9
Hope this helps :)

Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21

Answers

Find the coordinates of the vertex of the following parabola using graphing
technology. Write your answer as an (x, y) point.
y = 3x^2-12x + 21 it’s -1

A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavored. What percentage of cupcakes sold that day were mocha flavored

Answers

The percentage of cupcakes sold that day were mocha flavoured will be 57%.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

A bakery sold a total of 300 cupcakes in a day, and 171 of them were mocha flavoured.

The percentage will be calculated as:-

P  =  171  /  300

P =   0.57

P   = 0.57  x  100

P  = 57%

Therefore the percentage of cupcakes sold that day were mocha flavoured will be 57%.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Condense the logarithmic expression using logarithmic properties.

3 log x + 2 log y - log y

Answers

Answer: [tex]log (x^3y )[/tex]

Step-by-step explanation:

First we want to make the coefficients of the log the exponents of what is in the log

[tex]3 log (x) + 2 log (y) - log (y)\\log (x^3) + log (y^2) - log (y)[/tex]

Now adding two log with the same base is the same as multiplying what you are taking the log of

[tex]log (x^3) + log (y^2) - log (y)\\log (x^3y^2) - log (y)[/tex]

Now subtracting two logs with the same base is the same as dividing what you are taking the log of

[tex]log (x^3y^2) - log (y)\\log (\frac{x^3y^2}{y} )[/tex]

Now we simplify

The [tex]y^2[/tex] cancels out the y in the denomiator

[tex]log (x^3y^2) - log (y)\\log (x^3y )[/tex]

Step-by-step explanation:

xlog3+ylog2-ylog

log3×log2 -ylog

log6-ylog

56 is what percent of 16?

Pls give me the answer and not a random website :)

Answers

Answer:

350%

56/100 x 100/100

56x100/16 x 100 would equal 350/100

7.5
A
7
10
12.5
3. sin A:
COS A:
tan A:
What is Sin

Answers

Answer:

sin is something that we say, think, or do, that displeases God

Step-by-step explanation:

hoped this helped! :)

8. Higher Order Thinking Colby's dog gave birth to 6 puppies. Each puppy in the litter now has a mass of about 3 kilograms. About how much is the mass of the litter of puppies in kilograms? In grams? Remember: 1,000 grams = 1 kilogram.​

Answers

Answer:

18 kilograms and 18000 grams

Step-by-step explanation:

the answer in kilograms is 18. the reason why is 6 puppies x 3 kilograms per = 18. Next we need to convert 18 kilograms to grams. 1 kilo = 1,000. multiply 18 x 1,000 = 18000 grams. Please let me know if this helped!!

What is the value of f(g(3))?

Answers

g(3)= 2-3= -1
F(-1)=1+5/2
F(-1)= 6/2
F(-1)=3 or D

Which expression is equivalent to 173. 1710 ?
A 173+10
th

6 173-10
© 173.10
O
1710

Answers

Answer:

option C

Step-by-step explanation:

hope this help u

Which choices are equivalent to the expression below? Check all that apply.
x + 2x + 9x
O A. 12x
O B. 12y3
O C. 12
D. (1 + 2+ 9)x
SUBMIT

Answers

The answer to it is A 12x

-5x - 2y = 12 and 3x +2y = 8 using elimination as an ordered pair

Answers

Answer:

(-10, 19)

Step-by-step explanation:

Hey there!

In order to find the value of x and y, you need to make a system of equations

Now the question says to use elimination

The elimination method is when you make two values the same and then eliminate them with the proper sign: addition, subtraction, etc.

In this case, the step of making equal values is already done for us since there is 2y in both equations

[tex]-5x-2y=12\\3x+2y=8\\\\-2x=20\\x=-10\\[/tex]

What was done was called elimination

I added both equations together and when you add -2y and 2y, they eliminate each other

Now when you simplify the system, you get that x is equal to -10

Now we can substitute this value into the first or second equation

I am going to do the first equation

[tex]-5(-10)-2y=12\\50-2y=12\\-2y=-38\\y=19[/tex]

So after substituting the x value in the equation, we got the y value

Which is 19

So the solution to this system of equations is:

(-10, 19)

Pls help me with this

Answers

range is the highest minus the lowest

Step-by-step explanation:

so a is 599- 132 = 467

for b median is the middle number 132 and 599

so u add them then divide by 2 so the answer of b is 365.5

Solve for all values of x by factoring.
x2 – 2x – 28 = -6x + 4
X
=
There are two answers

Answers

Answer:

{4,-8}

Step-by-step explanation:

x^2 -2x -28 = -6x +4

x^2+4x-32=0

(x-4)(x+8) =0

x=4 or -8

Look at the PICTURE and please respond FAST to get MARKED best.

Answers

Opposite angles equal each other.

120= 2y+30
90=2y
45=y

Adjacent angles sum equals 180, because the flat line angle is 180.

2x+10 + 45 = 180
2x+55 = 180
2x= 125
X = 62.5

Answer:

y = 45, x = 25

Step-by-step explanation:

Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.

2y + 30 = 120, Subtract by 30 on both sides

2y = 90, Divide 90 by 2

y = 45

Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.

2x + 10 = 60, Subtract 10 by both sides

2x = 50, Divide 50 by 2

x = 25

is 69 less then a right angle

Answers

Answer:

yes it is less then a right angle

Step-by-step explanation:

The equation to model Exponential Decay is:
y = a[1 – r)
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 1 (1 point)
Sarah takes 550 mg of an antibiotic. Every hour,
her body breaks down 25% of the remaining drug.
How much will be left after 12 hours?

Guys help me please I really don’t understand this

Answers

I will give some hints. We know most values, we have to solve for y as that is the remaining amount.

y = We have to find.

a = 550 mg (She takes this much)

r = 0.25 (This is 25% as a decimal, don't forget to subtract 1)

t = 12 (This is because over the 12 hours, each hour it breaks down so (12 hours total * 1 hour periods) gives us 12 periods.

I hope this helps!

Please Help its A Math Problem !! Is the following equation linear, quadratic, exponential or none of these?

f(x)=3x^2+2x
Question options:

Linear


Quadratic


None of these


Exponential

Answers

Answer:

I'm pretty sure that it's exponential but I'm still going over this topic in class.

Use the multiplier method to increase 88 pounds by 14% you must show your working

Answers

Answer:

100.32

Step-by-step explanation:

First, we have to find 14% of 88

14% of 88 is = 88 x 14/100

                  = 12.32

Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)  

88 + (14% of 88)

= 88 + 12.32

=100.32 pounds

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