A square has a side length of 4 centimeters. What is the length of the diagonal of the square? What is the length from the corner to the center of the square?​

Answers

Answer 1

Answer:

4[tex]\sqrt{2}[/tex] cm AND 2[tex]\sqrt{2}[/tex] cm

Step-by-step explanation:

The length of a diagonal of a square means finding the hypotenuse (long side) of a right triangle with legs of the length of the side of the square. This means you can use a^2 + b^2 = c^2 to solve for the diagonal. Plugging in your values gets you 4^2 + 4^2 = c^2, simplify to get 16 + 16 = c^2, simplify further to get 32 = c^2. Isolate c by taking the square root of both sides to get [tex]\sqrt{32}[/tex] = c, which you can simplify by listing out the factors of 32 and finding pairs. 32 = 2 * 2 * 2 * 2 *2 (5 of them), meaning its square root is 4[tex]\sqrt{2}[/tex], which is the length of the diagonal. Don't forget your units! (:

For the second part, remember that the distance between the corner to the center of a square is half the diagonal of the square. You already have the length of that diagonal, so all you have to do is divide it by 2. Do so and you get 2[tex]\sqrt{2}[/tex]. Once again, don't forget your units! (:

If you're required to give decimal estimates, then pop those final answers into a calculator and round to the specified number of decimal places. No one will ask you to calculate irrational square roots, or at least no one should.


Related Questions

Please answer this math riddle for me ASAP!!! please
I am a four-digit number. My first number has no use because the number would be the same without it. My second and third numbers are mirror images and my fourth number is half of my second number.

Answers

i think maybe 0693 this is just a guess though

Answer:

0884

Step-by-step explanation:

Six more than a number is 17

Answers

The unknown number given from the expression Six more than a number is 17 is 11

How to solve linear equation?

let

The unknown number = x

x + 6 = 17

subtract 6 from both sides

x = 17 - 6

x = 11

check:

x + 6 = 17

11 + 6 = 17

Learn more about equation:

https://brainly.com/question/1214333

#SPJ1

trying to figure this out

Answers

The answer is -5 because -15 plus 10 is -5

Find an expression which represents the difference when (-9x +9) is subtracted
from (x + 8) in simplest terms.

Answers

Answer:

10x - 1

Step-by-step explanation:

(x + 8) - (-9x + 9) = x + 8 + 9x - 9 = (x+9x) + (8-9) = 10x -1

The equivalent Expression is (10x- 1).

What is Expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.

For example,  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

Given:

We have to find the difference when (-9x +9) is subtracted from (x + 8)

so, (x + 8) - (-9x + 9)

= x + 8 + 9x - 9

= (x+9x) + (8-9)

= 10x -1

Hence, the equivalent Expression is (10x- 1).

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

someone please help with this question for brainliest !!!!:)

Answers

Answer:

d)

Step-by-step explanation:

the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (that means a factor) of f(x), if and only if f(r)=0.

our r here is -1 to get x + 1.

f(-1) = 2×(-1)³ + 5×(-1)² - -1 - 6 = -2 + 5 + 1 - 6 = -2

the remainder is -2.

and since the remainder is <> 0, the binomial cannot be a factor.

How do I write a percent as a fraction in simplest form? Please explain step by step to get marked

Answers

Step-by-step explanation:

Divide the percentage by 100. E.g 74%=64/100

Then simplify the newly made fraction,

Find the common factors,

E.g 64/100

Both can be divided by 2

32\50

Repeat simplifying step...

16\25

Till there are no more common factors

and that's the final answer...

Hope you understand, if not leave a comment and I'm ready to help, please mark BRAINLIEST.

Can someone explain this to me on how you do this by step from step?

Answers

Answer:

5% of $5.00

[tex] \frac{5}{100} \times 5.00[/tex]

[tex] = \frac{1}{4} [/tex]

Help!! Will give brainliest

Answers

Answer:

Last option

Step-by-step explanation:

[tex]-2(z + 3) - z = x - 4(z + 2)[/tex]

[tex]x = -2(z + 3) - z + 4(z + 2)[/tex]

[tex]x = -2z - 6 - z + 4z + 8[/tex]

[tex]x = z + 2[/tex]

solve pls brainliest

Answers

1- 192
2-36

1- 168(original altitude)
+360(because the question says the hill is ______ 360 feet higher than checkpoint 2)
192


2- 168(checkpoint 2)
-132( checkpoint 4)
______
036


marked at a regular price of $20. What is the percent decrease in the price
A pair of sunglasses is on sale for $17. Last week, the sunglasses were
of the
sunglasses?

Answers

Answer:

15%

Step-by-step explanation:

20-17 = 3

What percent is 3 of 20?

X/100 = 3/20 (cross multiply)

(3*100) / 20 = 15%

Bài 1. Tính

a) 3x(2x – 5)

b) (x+1)(x + 4)

c) (7 – x)( x + 7)

d) ( + 2)2

e) (3 – 2x)2

f) (x – 2)(x2 + 2x + 4)

Bài 2. Phân tích các đa thức sau thành nhân tử:

a) 2−19

b) 2−2+ 2 - 100

c) xz + yz - 5(x + y)

d) 2+3++3

Bài 3. Tìm x biết:

a) 4x2 - 12x = 0

b) x2 – 5x = 0

c) x(2x – 7) + 4x – 14 = 0

Answers

F F F F F F F F F F F F F

Step-by-step explanation:F    f


What number is 7 times as much
as 9?


Answers

Answer:

63

Step-by-step explanation:

9•7=63

I need help with this problem

Answers

2 x 2 x 3 x 3



This is really easy to search up btw

Answer:

2x2x3x3 = 36

or

2^2*3^2 = 36

Pls help and answer the question in the photo

Answers

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

Show your work!!
Solve for missing angle

Answers

A triangle equal 180 degrees.
So, you do 80 + 35 + x = 180
115 + x = 180
180-115= 65
the answer is 65 degrees

Plz help me fast urgent thank you :) 20 points

Answers

Answer:

I believe it is A. Cooperative Federalism

Step-by-step explanation:

The other ones don't seem applicable to the diagram

Answer:

number 3 dual federalism

There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft

Answers

Answer:

3/1 or 12/4

Step-by-step explanation:

This is the case because all you are doing is converting it into a fraction.

. 3 feet to 1 yard- 3/1

.12 feet to 4 yards- 4/12

20.99 for a 42 lb-bag of dog food (im pretty sure your supposed to divide the last number to the first number example: 18.5÷11.99)

Answers

Answer:

18.5÷11.99 is correct the answer is most likly option B

The difference between a number and −22 is equal to the number times 11.

Answers

Answer:

The equation looks like this x-(-22)=11x

The answer for the equation is x=11/5

Step-by-step explanation:

Difference between a number (x) and -22

Difference means subtract so x subtracted by -22

x-(-22)

Is equal to: which means you put a =

the number times 11

number is x so x times 11 is 11x

The equation looks like this:

x-(-22)=11x

simplify

x+22=11x

Move x to the other side:

22=10x

Divide 10 on both sides:

x=22/10

Simplify

x=11/5

Hope this helps!

Answer:-11/5

Go Step-by-step-

The difference... -

between a number and 22.... n-22

equal to number times 11...

n-22=11n

subtract n

-22=10n

x=-11/5

The area of a square equals the square of a length of the side of the square. The perimeter equals the sum of the lengths of all four sides. The sum of the areas of two squares is 65 while the difference in their areas is 33. Find the sum of their perimeters.

The sum of the perimeters is [x]

Answers

Answer:Each side of x would be 7 and each side of y would be 4.

Step-by-step explanation:

PLEASE HELP ASAP I WILL GIVE BRAINLIEST AND 100pts!!!!!!!!!!!!!!!!!!!!!!!!!!

he following histogram shows the number of items sold at a grocery store at various prices:

Histogram titled Items Sold with Price Range on the x axis and Number of Items Sold on the y axis. Bar 1 is 0 to 2 dollars and 50 cents and has a height of 2. Bar 2 is 2 dollars and 51 cents to 5 dollars and has a height of 4. Bar 3 is 5 dollars and 1 cent to 7 dollars and 50 cents and has a height of 0. Bar 4 is 7 dollars and 51 cents to 10 dollars and has a height of 1.

Which of the following data sets is represented in the histogram?

{0.50, 2.00, 2.52, 3.37, 4.53, 5.00, 8.99}
{2, 4, 0, 1}
{2.50, 2.51, 5.00, 5.01, 7.50, 9.00, 10.00}
{0.50, 2.50, 2.50, 5.00, 5.00, 5.00, 7.51}

Answers

Answer:

will this help?

Answer:

A.

Step-by-step explanation:

Has a slope of 4 and passes through (-2, 4)

Answers

Answer:

y = 4x + 12

Step-by-step explanation:

y = mx + b

m = slope = 4

substitute the point (-2, 4) as (x, y)

4 = 4(-2) + b

4 = -8 + b

12 = b

Hope this helps! Pls give brainliest!

The equation of line is y= 2x+ 8.

what is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

Slope= 2

and, Passes through (-2, 4)

So, using the slope- intercept form is

y= mx+ b

4 = 2(-2)+ b

4 = -4 + b

b=8

And, the equation of line is

y= mx+ b

y= 2x + 8

Hence, the equation of line is y= 2x+ 8.

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

4 (m + 7) Which expression(s) is (are) equivalent to ? Select ALL that apply.

Answers

Answer:

here's your answer tho: ∞

Step-by-step explanation:

16. What is the total number of different eight-letter arrangements that can be formed
using the letters in the word “SAVANNAH"?

Answers

The answer is 64 because u have to times 8 (number of letter arrangements) by 8 (number of letters in the word)

Please he.l I got 10 min

Answers

Answer:

B

Step-by-step explanation:

the line pass through the point (2.52) and (14.78)

So k= 78-52 =26 =

4-2 =2

Yes ahh I see so u have to, and then u solve for x while substituting

Please answer both of the question in the photo plsss

Answers

Answer:

-12

-18

Step-by-step explanation:

-n+8=20

-n=20-8

n=12

-36=n-18

-n=-18+36

n=-18

When converted to a household measurement, 9 kilograms is approximately equal to a

Answers

What is 317.466 ounces or 19.8 pounds

1kg in household measurement is equal to 35.274 ounces.

So, 35.274*9= 317.466 ounces

317.466/16= 19.8 pounds

Answer:

D) 19.8 lbs

Explanation:

1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.

1kg is also equal to 2.205 lbs. 9*2.205=19.8416

9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system

a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.

This leaves us with 19.8 lbs

the square root of a negative number is known as an _______ number

Answers

Positive number is a square root

What is the value of W?

Answers

951 4 1404 393

Answer:

  w = 17

Step-by-step explanation:

Altitude SU of isosceles triangle RST bisects base RT. This means ...

  UR = UT

  5w = w+68

  4w = 68 . . . . . subtract w

  w = 17 . . . . . . divide by 4

Please Help! I will give you a lot of points and the brainiest!

A married man filing separably with a taxable income of $130,000. Compute the tax owned (look at chart)

--PLEASE show work

Answers

First, find the tax rate for a person whose taxable income is $130,000. By looking at the table, you can see the tax rate is 33%. To find the total tax, multiply 33% by $130,000.

[tex]0.33 \times 130000 = 42900[/tex]

Thus, the tax this person has to pay is $42,900.

Other Questions
Pls I need help I need answer How does Zaroff obtain the species he hunts and how does he justify his hunting this species?i am in k12 pls help me (5x+4)-3xSolve.No scam. Pls help with at least the introduction paragraph pls Your Texas history textbook is an example of a ___________ __________because the chapter were written by historians scholarsA.Bias B.Secondary source C.Historical document B,Artificats in a scholl there are 720 boys and 640 girls find the % of girls One printing machine printed 700 books in 40 hours this week. A second printing machine printed for25 hours this week but printed books twice the hourly rate of the first machine. How many books did thesecond machine print this week? Your fundraising group earns 25c for each lemonade and50c for each tco sold. One hundred tacos are sold. Your total profit is $100.How many levonades are sold? Write an equation that models this situation.Solve the equation using mental math. hello please help me Prove that:[tex] \cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1 [/tex]Please solve this problem because tomorrow is my maths exam. Corelation between health education and home science what two variables make up the theory of communication competence Factor completely: 8x^2-4x-4 The graph shows the height of a plant over time. What is the unit rate? A supermarket advertises a new product by offering samples to customers. The table shows the number of samples distributed each hour. At what rate does the supermarket distributes samples? Why did Cynicism not become popular until after Alexander the Greats death? Using robots to replace workers in factories is an example of which of the following forms of information processing systems? a. Commercial b. Control c. Scientific d. Industrial 24. Find the perimeter and area of the triangle below.2a3b4ab The table shows the elevations of the highest and lowest points in France where are the negative numbers are feet below sea level.which inequality correctly compares the elevations 1.42 as a percentage