Se sabe que la diagonal de un cuadrado mide 15 cm ¿cuánto mide su área?

Answers

Answer 1

Answer: 112.36cm^2

Step-by-step explanation:

Un cuadrado tiene 4 lados de igual longitud.

Si dibujamos la diagonal del cuadrado, podemos ver la imagen como dos triángulos rectángulos.

Donde los lados del cuadrado son los catetos, y la diagonal es la hipotenusa.

Ahora, recordando el teorema de Pitágoras, tenemos que, si A y B son catetos, y H es la hipotenusa:

A^2  + B^2 = H^2

En este caso sabemos que los catetos son iguales (por que es un cuadrado)

A = B.

Y también sabemos que H = 15cm.

A^2 + A^2 = (15cm)^2

2*A^2 = (15cm)^2

A = √((15cm)^2/2) = 15cm/√2 = 10.6 cm.

Ahora conocemos L, el largo de los lados de nuestro cuadrado.

L = 10.6cm

Y sabemos que el área de un cuadrado es igual a el cuadrado de uno de los lados:

Área = L^2 = (10.6cm)^2 = 112.36cm^2


Related Questions

A bee flies at 10 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 12 minutes, and then flies directly back to the hive at 8

feet per second. It is away from the hive for a total of 15 minutes.

a. What equation can you use to find the distance of the flowerbed from the hive?

b. How far is the flowerbed from the hive?

a. Write the equation. Let d be the distance of the flowerbed from the hive.

(Type an equation. Use integers or fractions for any numbers in the equation. Do not simplify.)

Answers

Answer:

a. 15 = d/600 + 12 + d/480

b. 800 feet

Step-by-step explanation:

a. Let distance between hive and flowerbed be "d" feet

Speed of bee during motion from hire to flowerbed = 10ft / sec = (10*60)fit/minute

Speed of bee during reverse motion = 8 ft/sec = (8*60)ft/min

Time which the bee stayed at flower bed = 12 minute

Time of its total journey = 15 minutes

Total Time = Time of travel from hive to flowerbed + Time of staying in flowerbed + Time of reverse travel

15 = d/10*60 + 12 + d/8*60

15 = d/600 + 12 + d/480....................(Required equation)

b. 15 = d/600 + 12 + d/480

d/600 + d/480 = 15 - 12

d/600 + d/480 = 3

4d + 5d  =  3

 2400

9d = 2400 * 3

9d = 7200

d = 7200/9

d = 800 feet

Hence, the flowerbed is 800 feet far from the hive.

Ahmad is choosing a password to access his teacher's web page. He must choose a capital letter and three nonrepeating digits from 0 through 9. The letter can be in any position in the password. Which shows part of the sample space for Ahmad's password? O A135, 135A, 135, 13A5 A113, A123, A133, A143 OA23, 0a23,02A3, 02a3 O 1234, 5678, 0246, 1357​

Answers

Answer:

Step-by-step explanation:

The fist answer is correct!!

Answer:   A

Step-by-step explanation:

Tomlin is removing the wallpaper the wallpaper covers 5 meter by 4 meter rectangular wall how much wallpaper will tomlin remove

Answers

The amount of wallpaper that Tomlin remove is 20m²

How to determine the amount

To determine the amount of wallpaper, we need to know the area.

The formula that is used to calculate the area of a rectangle is expressed as;

A = lw

Such that the parameters of the formula are given as;

A is the area of the rectanglel is the length of the rectanglew is the width

Now, substitute the values given in the question, we have;

Area = 5(4)

expand the bracket, we get;

Area = 20m²

Learn more about area at: https://brainly.com/question/25292087

#SPJ1

10 + 3x 11
Write your answer in interval notation

Answers

Answer:

10+33x

Step-by-step explanatiion:

cs yu have to multiply 10 times 3 which give yu 33.

Answer:

10 + 3x 11 most definitely equals 43

what is the simplified form of the ratio 9:18​

Answers

Answer:

1:2

Step-by-step explanation:

:)

What is the scale factor for this dilation? (Please only give the number)

Answers

Answer:

2

Step-by-step explanation:

2 is the answer for you guys

Express the polynomial - 4p + 3p + 2p2 in standard form and then classify it.
quadratic trinomial
cubic binomial
quadratic binomial
cubic trinomial

Answers

Answer:

[tex]2p^{2}[/tex] - p is a quadratic binomial

Step-by-step explanation:

The expression contains only two terms resulting in the classification of a binomial; however, the expression begins with a squared term, so it is classified as a quadratic binomial.

Answer:

quadratic binomial

Step-by-step explanation:

(One penny measures 0.75 inches in length.) If we lined up these 288 billion pennies, how long (in billions of inches) would the line be?

Answers

Answer:

216,000,000,000 inches

Step-by-step explanation:

Approximate each irrational number to the nearest thousandth.
✔5
✔19
✔99
✔42

Answers

Answer:

look down

Step-by-step explanation:

the square root of 5 is : 2.2360679775

rounded to the nearest thousandth is 2.236

__________________________________

the square root of 19 is: 4.35889894354

rounded to the nearest thousandth is 4.359

__________________________________

the square root of 99 is: 9.94987437107

rounded to the nearest thousandth is 9.950

__________________________________

the square root of 42 is: 6.48074069841

rounded to the nearest thousandth is 6.481

hope this helps :)

The function y = 14 +2.31x + 4.50 can be used to determine the cost in dollars for an Uber ride of x miles which takes no longer than 10 minutes. What is
the rate of change of the cost in dollars with respect to the number of miles?

Answers

Answer:

 2.32dollar/mile

Step-by-step explanation:

step one:

Given the function

y = 14 +2.31x + 4.50

we can solve for the rate of change by applying differentiation.

step two:

differentiating y which is cost with respect to x which is the miles

dy/dx= 0+2.32+0

dy/dx=2.32

Hence the rate of change of cost in the dollar to a mile is

2.32dollar/mile

What is the slope of the line that passes through the points (4,7) and (5,8)?
answer in simplest form?

Answers

The answer is m=-1 I took the test

(25) Points please help will pick someone has the brainliest if right!

Answers

Answer:

D) 80

Step-by-step explanation:

Your answer is 80 because to find median you must Add up all of the numbers and divide by the number of numbers in the data set. The median is the central number of a data set. Arrange data points from smallest to largest and locate the central number. This is the median. Which I did and got 80 Your welcome

Hope this helped if it did plz give me brainiest Thanks <3

Picture below thanks will mark brainlist

Answers

Answer:ty

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!!

Answers

Answer: 6

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

22-16=6cm

CA is a subsection of AB and we already have CB which is the remaining length if we cut off CA, therefore if we subtract CB from AB we get CA.

plzzz helpppp meeee aaaasssaaappp​

Answers

Answer:

4. Answer is 19

5. Answer is 77

Step-by-step explanation:

65-(-12)

= 65+12

=77

Answer:

1977

Step-by-step explanation:

4.

[tex]-64-(-83)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=-64+83\\\\\mathrm{Add/Subtract\:the\:numbers:}\:-64+83=19[/tex]

5.

[tex]Kim = 65 \:points\\Sister =-12\\\\Difference = 65-(-12)\\\\\mathrm{Apply\:rule}\:-\left(-a\right)=a\\\\=65+12\\\\=77[/tex]

1. Jim opens a savings account with $22,500. His account pays 3.5% simple interest. At the end of 5.5 years, Jim closes the account. How much interest does he earn? What is the total value of his account when he closes it?

Answers

Answer:

$27186.57

Step-by-step explanation:

Formula: start(interest)^time

First, we need to calculate the interest which in this case would be 1.035 (1+(3.5/100)) since it is increasing 3.5% each year. Then we can just plug the values into the formula to get:

22,500(1.035)^5.5 = 27186.57

Find the value of this expression if x = 9. x^2+7/x+2​

Answers

Answer:

8

Step-by-step explanation:

Answer:

Yeah, the answer is 8.

Step-by-step explanation:

I've gotten this question and it's right.

There were 5 chaperones assigned to go
with students on a field trip. What
algebraic expression represents the total
number of students and chaperones who
went on the field trip? Use the letter n to
represent the number of students on the
field trip
Field Trip Participants
Number of Number of
Students (n) Chaperones
10
5
15
5
5
25

Answers

Answer:

5 chaperones to 25 students

Step-by-step explanation:

You have to see which expression can be multiplied by 5 since there are 5 chaperones each number of students for example:

5 x 2 = 10

5 x 3 = 15

5 x 4 =20

5 x 5 = 25

What is the answer for 76.58×1.92

Answers

Answer:

147.0336

Step-by-step explanation:

use long multiplication

(07.01) Which of the values for x and y make the equation 2x + 3y + 4 = 15 true? x = 6, y = 3 x = 3, y = 5 x = 6, y = 4 x = 1, y = 3

Answers

Answer:

x = 1, y = 3

Step-by-step explanation:

Given:

2x + 3y + 4 = 15  ⇒ 2x + 3y = 11

Now let's check the pairs of x and y:

x = 6, y = 3

2x + 3y = 2*6 + 3*3 = 12 + 6 = 18 ≠ 11incorrect

x = 3, y = 5

2x + 3y = 2*3 + 3*5 = 6 + 15 = 21 ≠ 11incorrect

x = 6, y = 4

2x + 3y = 2*6 + 3*4 = 12 + 12 = 24  ≠ 11incorrect

x = 1 , y = 3

2x + 3y = 2*1 + 3*3 = 2 + 9 = 11correct

Answer:

D. x= 1, y = 3​

Step-by-step explanation:

I took the test

The length of a rectangle is 3 less than 4 times the width. If the perimeter is 90 cm, what is the width? What is the length?​

Answers

x+(4x-3)=90.

5x-3=90.

5x=93.

x=18.6.

Find x, if 36, x, x, 16 are in proportion.

please tell fast​

Answers

Step-by-step explanation:

36 : x :: x : 16

16 x 36 = x2

576 = x2

Taking square root on both sides

24 = x

Answer:

36/x = x/16

x^2 = 36*16

x = √36*16

x = 6*4

x = 24

2 + (3 + 11) =(2 + ) + 11

Answers

Answer:

16 =13

False

Step-by-step explanation:

[tex]2 + (3 + 11) =(2 + ) + 11\\\\2+\left(3+11\right)=\left(2\right)+11\\\\\mathrm{Simplify\:}2+\left(3+11\right):\quad 16\\\\\mathrm{Simplify\:}\left(2\right)+11:\quad 13\\\\16=13\\\\False[/tex]

Represent the following sentence as an algebraic expression, where "a number" is the letter x.

The quotient of a number and 4.

Please help!

Answers

N divided by (I don’t have the symbol on my phone) 4

Evaluate 9 - 3 - 2 + 4.

Answers

Answer:

8

Step-by-step explanation:

9 - 3 - 2 = 4

4 + 4 = 8

Hope this help you :)

mark me brainlest pls ;)

Answer:

8

Step-by-step explanation:

9 - 5 = 4

4 + 4 equals 8

hope this helps :D

solve 5x-2+x=-20 ( Adding this to just make the 20 character requirement.)

Answers

Answer:

x= -3

Step-by-step explanation:

[tex]\text{Hello there! :)}[/tex]

[tex]\large\boxed{x = -3}[/tex]

[tex]5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3[/tex]

sketch the graph of
y=x2+x-12

Answers

Answer:

The picture represents y = x^2 +x -12.

x-int = (-4,0) and (3,0)

y-int = (0, -12)

A salesperson makes $200 per week and $35 bonus for each person, x, he signs up.
Which expression represents the total amount of money the salesperson makes in a week?
200x + 35
200(x +35)
35(x + 200)
200 + 35x

Answers

x = # of people they sign up

200 + 35x is the only correct choice.

Answer:

200+35x is the correct solution

If nine less than four times a number is 11 what is the number

Answers

the awnser is 5 because (4)(5) is 20 and then 20-9 is 11

Answer:

5

Step-by-step explanation:

Write the equation

4x-9=11

Add 9 to both sides

4x=20

Now divide by GCF (4)

4x/4=20/4

x=5

Hope this helps! Plz award Brainliest : )

3. Which answer is correct?
A 5 = 13 B 4<9C8<3 D 2 > 12

Answers

Answer:

b  4<9

Step-by-step explanation:

Other Questions
Which is the most widely used calendar in the world today? Convert the decimal to a fraction in simplest form 0.6 2/7(x+4)=6 What is x? find angles EFG pleaseee What role did Benjamin Franklin play in the 1790 debate over slavery? What type of bond gives water its unique properties of adhesion and cohesion? All of the following are a result of a surplus except:O population increaseO job specializationO spread of ideasO food shortage Upgrading the______ usually speeds up the computer, while adding a(n) ______ will increase the systems storage capacity. Additional ______ can improve the sound or video quality. 5.1521, 5.4, 5.15, 5.015 least to greatest 8 is 1 tenth of what number When you calculate your net worth and file your taxes, good _______ is particularly important.A. insuranceB. credit managementC. record keepingD. communication John used an empty beaker with the mass of 53.126 g. In a separate jar, he had a mixture of salt and sand. He transferred two scoops of salt and sand mixture to the beaker. The overall mass was 65.449 g. As you know salt is soluble in water, he added enough water in the beaker with salt and sand mixture to completely dissolve the salt. He filtered the mixture and dried what was left in the filter. The mass of that residue was 8.200 g. Based on the experiment calculate the mass of salt, sand and the mixture (salt sand). 19. What role did roads play in the empire? Roman Empire What would do you if when you okay so he said yes would go? Which expression is equal to 3(56)?3(50 + 6)3(50) + (6)5(30 + 6)05(30) + 5(6) Place these steps to naturalization in order:A. Citizenship testB. Oath ceremonyC. Immigration interview hurry pls , i need to know NOW. 36. Helium is an example ofa homogeneous mixtureb. a heterogeneous mixturec. a compoundd. an element pls help with all thank u 1. Looking at how certain physical and chemical characteristics affect food is the basis for what?food scienceethnic foodsous videglobalization how can strong social health directly change someone's physical health (A. Good social health can offer emotional and psychological support.) (B. Good social health can allow you to better communicate your feelings and solve conflicts.) (Good social health can set an example to follow the healthy and behaviors of others.) (D. Good social health raises serotonin levels, which causes feelings of joy and happiness)