A un carpintero le encargaron cambiar la forma de una mesa, de circular a cuadrada. El radio de la mesa mide 2 m y los lados del cuadrado que le encargaron deben medir 2.83 m, como se muestra en la figura. (considerar π=3.14). ¿Cuántos metros cuadrados de área tiene que eliminar para que quede la mesa cuadrada?

Answers

Answer 1

Answer:

4.46 m^2

Step-by-step explanation:

Sabemos que para un círculo de radio R, el área es:

A = pi*R^2

mientras que para un cuadrado de lado L, el área es:

A = L^2

Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).

Originalmente, la mesa es circular y tiene un radio de 2m.

Entonces el área original es:

A = 3.14*(2m)^2 = 12.56 m^2

Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:

A' = (2.83m)^2 = 8.01m^2

La diferencia nos da:

A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2

Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.


Related Questions

What are the apparent coordinates of the midpoint of ab

Answers

Answer:

A. [tex](-1,-2)[/tex]

Step-by-step explanation:

Hope this helps you.

( -4, 1 ) and ( 2 , -5 )

Now,

mid point = ( 2 - 4 )/2 , ( -5 + 1 )/2

= ( -2 /2 ) , ( -4 /2)

= ( - 1, - 2 )

A ( - 1, - 2 )

I hope it's help you...

Mark me as brainliest...

a and b share the cost in a ratio of 3:2 a pays £125 how much would b pay

Answers

Answer:

[tex]{ \bf{total \: ratio = 3 + 2 = 5}} \\ \\ = { \tt{ \frac{2}{5} \times 125}} \\ = £50[/tex]

write an equation for the sentence: the sum of six and twice a number is equal to sixteen minus the number.
URGENT! ONLY HAVE 5 MINUTES!

Answers

Answer:

6+2x=16-x.

Step-by-step explanation:

X will represent the missing number. Sum means 6, twice that number means multiply it by two, equal represents =, minus represents this, therefor the equation 6+2x=16-x represents the correct answer.

solve the missing side in the right triangle below​

Answers

Answer: the root of 145 so b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem:

a^2 + b^2 = c^2

9^2 + 8^2 = c^2

81 + 64 = c^2

144 = c^2

[tex]\sqrt{144}[/tex] = c

Remember, C is always the hypotenuse, or the longest side. A and B can be either base.

What is this? Ianjansjshshsjssjsjjss

Answers

Answer:

1.2

Step-by-step explanation:

We want to find the y value when x = -6

When x = -6, y = 1.2

A sporting goods store pays $200 for a rubber raft. The percent of markup is 26%.
Find the raft's selling price,

Answers

I think the answer is 252

Lmk if it is right!

What are the possible degrees for the polynomial function?

Answers

Answer:

degrees of 5 or greater

Step-by-step explanation:

peaks counted are 5

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns and six rows. The first column, Time in minutes, has the entries, 2, 4, 6, 8, 10. The second column, Height in inches, has the entries, 8, 12, 16, 20, 24. The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool? The height of the water increases 2 inches per minute. The height of the water decreases 2 inches per minute. The height of the water was 2 inches before any water was added. The height of the water will be 2 inches when the pool is filled.

Answers

Answer:

Correct Answer: A.

Step-by-step explanation:

A) The height of the water increases 2 inches per minute.

Step-by-step explanation:

Slope is the rate of change of height

m = (16 - 12)/(4 - 2) = 4/2 = 2

2 inch per min

Positive slope implies increase

the ratio of games lost to games won by a cricket team is 2:3. the team has won 18 games.how many games did they lose?​

Answers

Answer:

they lost 12 games

Step-by-step explanation:

18÷3=6

6×2=12

In the diagram below, AJKL is an equilateral triangle and KM I JL.
к
3
2
Which statement must be true?
O A. JK = KM
B. AJKM is a 30-60-90 triangle.
O C. KM = 2 .JM
D. AJKM is a 45-45-90 triangle.

Answers

Answer : B

Step-by-step explanation:

Ape

The statement which is true is  KM = 2 .JM, the correct option is C.

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

AJKL is an equilateral triangle

Now,

Using these properties, we can eliminate some of the options.

Option A is false because JK and KM are not equal. JK is half of JL, which is one side of the equilateral triangle AJKL, while KM is a perpendicular bisector of JL.

Option B is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 90 degrees.

Option D is false because AJKM is not a right triangle. The angle JAK is 60 degrees, not 45 degrees.

Option C must be true because KM bisects JL into two equal parts JM and ML. Since JL is one side of the equilateral triangle AJKL, we have JL = AK = AL. Therefore, JM = ML = JL/2 = AK/2 = AL/2. By Pythagoras’ theorem, we have:

KM^2 = AK^2 - AM^2

KM^2 = (AK/2)^2 - (AL/4)^2

KM^2 = (AK/4)^2 + (AL/4)^2

KM^2 = ((AK + AL)/4)^2

Since AK + AL = 2 * JL,

KM^2 = (JL/4)^2 * 4

KM^2 = (JL/4)^2 * 4

KM = JL/4 * 2

KM = JL/2

Therefore, the answer of the triangle will be KM = 2 * JM.

Learn more about a right triangle;

https://brainly.com/question/7116550

#SPJ7

In the triangle below, what is the length of the side opposite the 60° angle? O A. 3 O B. v O C. VE OD. 6

Answers

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

I think The answer would be a

Select the outlier in the data set.
93
82
10
61
99
89
84
95
75
98
If the outlier were removed from the data set, would the mean increase or decrease?


Answers

Answer:

10

The mean would increase after the outlier is removed

Step-by-step explanation:

An outlier in a dataset is a number that differs significantly from the other data in the set.

In this question, 10 is the number that differs significantly from the other data in the set. Thus, it is the outlier.

Mean = sum of the numbers / total number

Mean including the outlier =  

(93+ 82  + 10  + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 10 = 78.6

Mean without the outlier =

(93+ 82   + 61  + 99  + 89  + 84  + 95  + 75  + 98) / 9 = 86.2

the mean increased after the outlier was removed

3. If a + b = C, which of the following statements is true?

Answers

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Anthony is building a cube-shaped box to store some of his smaller crafting supplies. The formula for the surface area of a cube is SA = 6s 2 , where s is the side length of the cube. If he has a total of 200 in. 2of cardboard, can Anthony build a box where s = 6 in.?

A) No, he needs 16 in. 2more cardboard.
B) No, he needs 232 in. 2more cardboard.
C) Yes, he will have 56 in. 2of cardboard left over.
D) Yes, he will have 128 in. 2of cardboard left over

Answers

Answer:

I'll go through the setup and let you compute the answer

Step-by-step explanation:

I think you meant

[tex]SA = 6 {s}^{2} [/tex]

and the sheet of cardboard if

[tex]200 {in}^{2} [/tex]

Find the surface area of a 6 inch cube

[tex]SA = 6 \times {6}^{2} [/tex]

if you have questions, you can send a comment

what is 3.78 × 10 ²=

Answers

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

find the value x in the figure :​

Answers

Answer:

[tex]{ \bf{perimeter = 2(length + width}} \\ \\ { \tt{28 = 2((x + 2) + (x + 6))}} \\ \\ 14 = 2x + 8 \\ 2x = 6 \\ { \tt{x = 3}}[/tex]

Answer:

x = 3

step-by-step explanation:

Perimeter of rectangle = 2 ( l + b )

Where, we have

breadth is ( x + 6 ) cmlength is ( x + 2 ) cmPerimeter is 26 cm.

substitute the values

28 cm = 2 ( ( x + 2) + ( x + 6 ))

28 cm = 2 ( x + 2 + x + 6 )

combine like terms

28 cm = 2 ( 2 x + 8 )

distributing 2 through parantheses

28 cm = 2 × 2x + 2 × 828 cm = 4x + 16

subtract 16 from both side

28 cm - 16 = 4x + 16 - 1612 cm = 4x

divide both side by 4

12 cm / 4 = 4 x / 43 cm = x

Please someone help me out

Answers

Answer:

812 in²

Step-by-step explanation:

The area (A) is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 29 and h = 28 , then

A = 28 × 29 = 812 in²

Farida bought 20 stamps consisting of 20 sen stamps and 60 sen stamps. The total cost of the stamps is RM8.80. How many 20 sej stamps did Farida buy?

Answers

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480

Answers

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, [tex]a_n=480[/tex]

Let there are n terms in the AP.

So,

[tex]a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20[/tex]

There are 20 terms in the series. The sum of 20 terms is :

[tex]S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040[/tex]

So, the sum of the given arithmetic series is equal to 5040.

In 2 Year 6 classes, 2/5 of the children are girls. There are 39 boys. How many children are there in the class?

Answers

Second time I’ve seen this problem

What is the area of ABC?

Answers

Answer:  81.1 cm^2

This value is approximate.

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

Work Shown:

area = 0.5*side1*side2*sin(included angle)

area = 0.5*AB*AC*sin(A)

area = 0.5*11*18*sin(55)

area = 81.0960523846101

area = 81.1 cm^2

The cm^2 refers to "square cm".

Notice that the angle must be between the two sides, hence the "included".

Helpppppp y’alllllllllll

Answers

Answer:

[tex]V=83.73\ in^3[/tex]

Step-by-step explanation:

The capsule is in the shape of two hemispheres and cylinder.

The volume of the container = volume of two hemispheres + volume of cylinder

The radius of the container, r = 2 in

Height of the cylindrical part, h = 8 in - 4 in = 4 in

So,

[tex]V=2\times \dfrac{2}{3}\pi r^3+\pi r^2 h\\\\=\dfrac{4}{3}\pi r^3+\pi r^2 h\\\\V=\pi r^2 (\dfrac{4}{3}r+h)[/tex]

Put all the values,

[tex]V=3.14\times 2^2 (\dfrac{4}{3}\times 2+4)\\\\V=83.73\ in^3[/tex]

So, the volume of the container is equal to [tex]83.73\ in^3[/tex].

2 Kenedi has a piece of ribbon that measures
24 inches long. She cuts the ribbon into
15 equal pieces to attach to her dance
costume. Kenedi uses the expression shown to
calculate the length of each piece of ribbon she
uses on her costume.
241 - 15
Which of the following expressions CANNOT be
used to determine the length of each piece of
ribbon?
15
F99=
G (242) (15)
H7+15
J 241-15

Answers

Answer:

The length of each ribbon is 1.6 inches

Step-by-step explanation:

From the question, we are told that:

Kenedi has a piece of ribbon that measures 24 inches long. She cuts the ribbon into 15 equal pieces to attach to her dance costume

Hence, the expression that can be used to show how to calculate the length of each piece of ribbon is given as:

24 inches ÷ 15 pieces

= 24 ÷ 15

= 1.6 inches

Therefore, the length of each ribbon is 1.6 inches

Give the algebraic expression by using variables and constant and arithmetic operations: i. Sum of the squares of x and y. ii.Product of "x" and "y" subtracted from 9. Pls fast

Answers

Answer:

a) x^2 + y^2

b) 9-xy

Step-by-step explanation:

Here, we want to write the algebraic statements as expressions;

a) The sum of the squares of x and y

The square of x is x^2

The square of y is y^2

The sum of the squares is x^2 + y^2

ii) Product of x and y subtracted from 9

The product of x and y is x * y = xy

Subtracting these from 9, we have;

9-xy

A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight​

Answers

Answer:

The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.

Step-by-step explanation:

First, we need to find the weight (W) of the 4 bags:

[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]

Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:

[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]

We can express the excess weight in percentage as follows:

[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]  

Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.          

 

I hope it helps you!                      

Choose the expression that represents a linear expression 6x+6. -6x^2+8x-9. 8x^3+9x^2-10x+11. 7x^4-8x^3+9x^2-10x+11

Answers

Answer:

[tex]6x + 6[/tex]

Step-by-step explanation:

a linear expression is the form

[tex]y = mx + b[/tex]

help me find the size of the rhombus :)

Answers

Answer:

Step-by-step explanation:

The diagonals of a rhombus divides it into four congruent right triangles.  Each triangle is a mirror image of the adjacent.

Therefore angle 2 is the alternate interior angle of 57°, and angle 3 is the mirror image, so also 57°.

Angles 1 is the complement of angle 3, and angle 4 is equal to the complement of angle 2 , so both equal 90-57 = 33°.

To summarize,

angle 1 = 33°

angle 2 = 57°

angle 3 = 57°

angle 4 = 33°

The capacity of a CD-ROM is 800 MB (800 x 20 raised to 20 bytes). It stores information along a spiral track. If each byte uses a space of 9 microns, what is the length of the complete track in m? (Hint: 1 micron= 10 Raised to-6m)

Answers

Answer:

The length of the complete track= [tex]7.549\times 10^{23} m[/tex]

Step-by-step explanation:

We are given that

Capacity of CD-ROM=800MB=[tex]800\times 20^{20} bytes[/tex]

1 byte=9 microns

[tex]1micron=10^{-6}m[/tex]

We have to find the  length of the complete track in m.

We change MB into  micron

[tex]800\times 20^{20} bytes=800\times 20^{20}\times 9microns[/tex]

=[tex]7200\times 20^{20} microns[/tex]

Now, we change micron into m

[tex]7200\times 20^{20} microns=7200\times 10^{-6}\times 20^{20} m[/tex]

=[tex]7.549\times 10^{23} m[/tex]

Hence, the length of the complete track= [tex]7.549\times 10^{23} m[/tex]

How many solutions does the following system of linear equations have?
y = 5x – 2
( y= 5x+4
O No solutions
O One solution
0 Two solutions
O Infinite solutions

Answers

Answer:

No Solution

Step-by-step explanation:

because both of them have same gradient or slope.

we can say that those linear equations are parallel

Select the correct answer.
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
A.
4 × d = 24
B.
4 × l = 24
C.
4 + d = 24
D.
4 + l = 24
does anyone know the answer to that question i need it ASAP !!!!

Answers

Answer:

the answer is a 4 x d = 24 I think

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