Val needs to find the area enclosed by the figure. The figure is made by attaching semicircles to each side of a 42m​-by-42m square. Val says the area is 1005.48 m^2. Find the area enclosed by the figure. Use 3.14 for pi. What error might Val have​ made?

Thanks in advance!
I don't have anymore points so please make a good and accurate answer.

Answers

Answer 1

Answer:

Area of the enclosed figure = 3148.74 [tex]m^{2}[/tex]

Step-by-step explanation:

Area enclosed by the figure = 2 x area of the semicircle + area of the square

For the semicircle,

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{42}{2}[/tex]

          = 21 m

area of a semicircle = [tex]\frac{1}{2}[/tex] x [tex]\pi r^{2}[/tex]

                                = [tex]\frac{1}{2}[/tex] x 3.14 x [tex](21)^{2}[/tex]

                                = 692.37 [tex]m^{2}[/tex]

area of a square = length x length

                            = 42 x 42

                            = 1764 [tex]m^{2}[/tex]

Thus,

area enclosed by the figure = 2 x 692.37 + 1764

                                              = 3148.74 [tex]m^{2}[/tex]

The total area enclosed bu the figure is 3148.74 [tex]m^{2}[/tex]


Related Questions

You may borrow up to 2.5 times your annual income. Arianna is buying a home. Her weekly income is $900. What is the maximum amount that she may borrow?

Answers

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Sarah is creating a triangular birthday card for her teacher. In order to glue lace
around the outside of the card, Sarah needs to know the length of each side. She
knows that two of the sides measure 4 inches and 9 inches. Between which two
numbers must the third side of the card fall?

Answers

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Select the answer that correctly orders the set of numbers from greatest to least. 0.25, start fraction 2 over 5 end fraction , 32%, start fraction 7 over 14 end fraction A. start fraction 7 over 14 end fraction, start fraction 2 over 5 end fraction, 32%, 0.25 B. start fraction 7 over 14 end fraction, 0.25, 32%, start fraction 2 over 5 end fraction C. start fraction 7 over 14 end fraction, 32%, start fraction 2 over 5 end fraction ,0.25 D. start fraction 2 over 5 end fraction, start fraction 7 over 14 end fraction, 32%, 0.25 please help ASAPPP

Answers

The answer is A. 7/14, 2/5, 32%, and .25

Answer:

A. 7/14, 2/5, 32%, and .25

differentiate x+sinx/x+cosx with respect to x​

Answers

Step-by-step explanation:

content://com.cryptotab.android.FileProvider/images/screenshot/1615820475640483392397139554304.jp

David can jog 3.5 miles in 75 minutes. What is David’s jogging rate per hour?
PLEASE SHOW YOUR WORK!!!!
will give brainliest!

Answers

Convert minutes to hours there are 60 minutes in one hour. 75/60=1.25 hours. Then divide miles by hours so 3.5/1.25=2.8 miles an hour

-3 < n < 1
n is an integer
Write down all the possible values of n

Answers

Answer:

n ε{-2,-1,0} with n being integer

PLEASE HELP!!!

Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form.

Answers

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Para fazer um serviço de operário leva 70 dias . Se trabalhou 25 dias num mês e 24 dias no outro mês , quantos dias faltam para ele terminar o serviço?

Answers

Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias

Solve for angle F ?
I need help please

Answers

Answer:

F = 31

Step-by-step explanation:

70+50=125

180-125=55

the last angle of the triangle is 55.

The last angle of the triangle and the equation make up to 180 so.

55+4f+1=180

F=31

What the slope? Can someone help me

Answers

Answer:The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?

Ox= 5

О-5а Х

O-15 = -5x

O-5х = 15

Answers

D is the answer to the question

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

Try C it probably is your answer

Q. Which equation describes the line that passes
through the point at (-2, 1) and is perpendicular
to the line y = 1/3x + 5?

Answers

Answer:

Step-by-step explanation:

perp. -3

y - 1 = -3(x + 2)

y - 1 = -3x - 6

y = -3x - 5

Find f(-) if f(n) = 5n + 6.

Answers

Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1

the rational expressionwrite this ratio in the form p(x) + x/(x - 2) Where is some x - 2

Answers

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Please help!! I’m stuck on this

√-4 - 5x = x

A. x = -1 or x = 4

B. x = -1 or x = -4

C. x = 1 or x = -4

D. x = -5 or x = 4/5

E. x = 1 or x = 4

Answers

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

I know this one is hard but its hard for me. PLEASE HELPP

Answers

Answer:

G. <3 and <5 hope this helps

Answer:

G

Step-by-step explanation:

Give the sum in simplest form: 2x/w + y/w

Answers

Answer:

[tex]\frac{2x+y}{w}[/tex]

Can I please have help with question 2) a and b

Answers

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

 

Rewrite each expression in factored form using the greatest common factor. 11. 16x+48 12. 28x+ 32y 13. 11w+hw pls help!!!

Answers

Answer:

16(x + 3)

4(7x + 8y)

w(11 + h)

Step-by-step explanation:

16x + 48

The greatest common factor of 16 and 48 = 16

Hence, expressing 16x + 48 in factored form:

16x + 48 = 16(x + 3)

28x + 32y

Greatest common factor of 28 and 32 = 4

Hence,

28x + 32y = 4(7x + 8y)

11w + hw

11w + hw = w(11 + h)

Brainly reward!!!!

What's the area of the gray shape?

Answers

Answer: 14.465 (round if necessary)

Steps:
Area of a triangle: (0.5)(b)(h)
(0.5)(6)(6)
(0.5)(36) = 18

Area of a half circle: (2πr²)0.5
(2*π*1.5²)0.5
(7.07)0.5
= 3.535

18 - 3.535 = 14.465

19+23=2X-2

Someone help me pleaseeeeeeeeeeeeee

Answers

Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps

It 16x = (141)²-(109)², then
the value of x is.
(a). 150
(b). 500
(c). 600
(d). 32​

Answers

Answer:

b) 500

16x = (141)^2 - (109)^2

or, 16x = 19881 - 11881

or, x = 8000/16=500

Can someone help me please I will give brainleast just please help me out

Answers

Question 5

Flat fee = $6

Question 6

The group should charge $65 for 15 bags of leaves.

Question 7

The relationship between the amount charged and the number of bags filled is linear.


Write an expression for the area and perimeter for the figure shown.
I WILL GIVE THE BRAINLIEST IF YOU CAN ANSWER THIS

Answers

Perimeter= 2(2x+2)+2(2x-1)
Area=(x-1)*(x-1)+(2x-1)*(x+3)

Hope it helps

To express ​% as a​ decimal, move the decimal point ▼ two three one places to the ▼ left right and ▼ leave the number as it is. remove the dollar sign. divide by 100. remove the percent sign.

Answers

Question

To express ​7.5 % as a​ decimal, _______, ___________ and remove the percent sign.

▼ move the decimal point  [two] [three] [one] places to the [left] [right]

▼ leave the number as it is.

▼ remove the dollar sign.

▼ divide by 100.

Answer:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

Step-by-step explanation:

Given

[tex]Number = 7.5\%[/tex]

Required

Express as decimal [Select all correct options]

From the list of given options, the correct options are:

▼ move the decimal point  [two] places to the [left]

▼ divide by 100.  

To prove that the options are correct:

(1)

▼ move the decimal point [two] places to the [left]

7.5% becomes 0.075%

▼ Remove the percent sign

0.075% becomes 0.075

So:

[tex]7.5\% = 0.075[/tex]

(2)

Divide by 100

7.5% when divided by 100 is: 0.075%

Remove the % sign, we have: 0.075

Find the measure of Arc XY.


Answers

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

m<XZY=1/2m XY

mXY

2m<XZY2(23)46°

Interest earned: $84
Principal: 600
Interest rate: 7%
Time: ?

Answers

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.


Esmeralda cut out two paper rectangles and glued them together as shown in the figure.
Find the area of the Esmeralda's composite figure.
A)32 cm
B)40 cm
C)48 cm
D)56 cm

Answers

The area of the composite figure is
A.) 32 cm^2


Hope this helps! :)

Ill Give brainliest To whoever can answer this please .ASAP . Thanks-Rin

Answers

Answer: The answer is c

Explanation:

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