if the area of a square is 32ft^2 how long is its diagonal

Answers

Answer 1

Answer:

45.25

Step-by-step explanation:

32^2+32^2=2048 sqrt2048 is 45.25

Answer 2

The diagonal of the square whose area is 32 square ft.is 8ft.

What is pythagoras theorem?

It says that in a right angled triangle the square of hypotenuse is the sum of the square of the base and the square of height.

How to calculate the length of diagonal?

Let the side of the square be x

So the area becomes [tex]x^{2}[/tex]

[tex]x^{2}[/tex]=32

x=4[tex]\sqrt{2}[/tex] ft.

If we draw a diagonal in a square it forms a triangle in which we can easily apply the pythagoras theorem.

The length of the diagonal becomes

=[tex]\sqrt{(4\sqrt{2}) ^{2}+ (4\sqrt{2}) ^{2} }[/tex]

=[tex]\sqrt{64}[/tex]

=8

Hence the length of the diagonal will be 8 ft.

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Related Questions

What is the perimeter of the object (Hint: Not all numbers should be used to find your answer) (Provide number only in your answer) *

Answers

y 4 times 5 = square 5 divided by 6 = x times B so the anwser is sq 9

Answer:

27 IN

Step-by-step explanation:

If you want to calculate the perimeter of an irregular trapezoid, there's no special formula - just add all four sides:

Trapezoid perimeter = a + b + c + d

Maybe you've noticed, but it's the formula for any quadrilateral perimeter.

There's also an option that that presents itself with certain special trapezoids - like an isosceles trapezoid, where you need a, b, and c sides. Another example is a right trapezoid, where the length of the bases and one leg are enough to find the shape's perimeter (the last leg is calculated using Pythagoras' Theorem).

giving brainly for correct answer dont spam if you dont get right away
On the Celsius scale, the freezing point of water occurs at zero. Which pair of numbers represents temperatures both above and below the freezing point?


–10°C and –20°C

5°C and –10°C

0°C and 10°C

20°C and 5°C

Answers

The answer should be -10c and -20c

The temperature above and below the freezing points are 5°C and –10°C respectively. The correct option is B.

What is the freezing point?

The temperature at which a liquid begins to solidify Melting point is the temperature at which the liquid and solid states of a substance are in equilibrium at atmospheric pressure. Water has a freezing point of 0° Celsius or 32° Fahrenheit.

The freezing point of the water is 0 degrees Celcius. It means that below 0 degrees like in negative temperature water becomes ice. Above 0 degrees Celcius the water remains in a liquid form.

Therefore, the temperature above and below the freezing points are 5°C and –10°C respectively. The correct option is B.

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A city bus driver counts the number of passengers that board the bus at each stop. Below shows the number of passengers:

Bus Stop Boarding Passengers

Elm 8

Sycamore 10

Oak 11

Spruce 8

Hawthorne 13
Is the median number of boarding passengers 10? select true or false
True
False

Answers

Anser:

False

Step-by-step explanation:

False, 8 and 8 would be together, then 10, then 11, then 13, making it divided into 4 parts and 10 and 11 being in the middle. Since 4 is an even number you would have to find between the two middle numbers which is 10 and 11. the median would be 10.5

????? so confused please help

Answers

Is there a value for each angle?
The answer would be <2 because ive done that lesson it looks confusing its just simple math u add 1 to 3 to get 4 and take away 2 and your answer is <2

sowwy my "r" key bwoke so now i can only copy and paste it but I need help with my question for I weady wight now! will give bwainlest

Answers

Answer:

you typed for tho but

anyway

This is a ratio problem. If drying : water = 5 : 2, what is water when dry ing = 15?  The new ratio is 15 : water. How do we get from the first ratio to the new one? We multiply by 5. Meaning, we also need to multiply the 2 quarts of water by 5, giving us 10 quarts of water.  

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzzz

In "Thank You, M'am," what do the blue suede shoes represent?
A.
what Roger wants but cannot have

B.
Roger's innocence

C.
the lesson that Mrs. Jones teaches Roger

D.
Mrs. Jones's youth
Don´t answer pleased one person to answer thanks.

Answers

Answer:

A

Step-by-step explanation:

According to one of the main problem from the story, In "Thank You, M'am,"  the blue suede shoes represent A.

what Roger wants but cannot have. I consider the first option as a correct one because Roger could not afford many things that he wanted to have, but blue suede shoes posed as his desire and that's why he tried to rob Mrs. Jones.

Do hope it will help

Melissa is buying a new television at BuyMart. The store is offering the rebates shown below. Melissa chooses a television that has a regular price of $755. The sales tax rate in her town is 8.5%. What is the final cost of the television after the rebate? Buy Mart Television Rebates Mail in this certificate with the receipt from purchase. Regular Price Rebate under $450 $40 rebate $450 to $700 $50 rebate Over $700 $60 rebate

pls help

Answers

Using the formula for sales tax, we understand that Melissa is eligible for a rebate of $50.

The final cost of television after sales tax and rebates is calculated as, Price after rebate = $755 - $50 = $705  ( Rebate = $755)

Sales tax = $705 X 8.5% = $60.075   (The rate of sales tax is 8.5% in Melissa's town).

The final cost of television (after deduction with rebate and sales tax ) = $60.075 + $705 = $765.08

Therefore, the final cost of the television for Melissa after the rebate and the sales tax is $765.08 in total

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The final cost of the television after the rebate is: C. $759.18.

What is a tax?

In Economics and Mathematics, a tax is the involuntary fees that are levied on individuals or business organizations (companies or firms) by the government of a particular country, in order to generate revenues that can be used to fund public projects, institutions and activities.

Next, we would determine the selling price of the television after deducting the sales tax;

Selling price = 1.085 × 755

Selling price = $819.175

Selling price = $819.18

Note: A rebate is an amount of money that is refunded to a customer.

Since the price of this television is over $700, it attracts a rebate of $60;

Final cost = $819.18 - $60

Final cost = $759.18.

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Can someone help me with Geometry Triangle?

Answers

Answer:

4

Step-by-step explanation:

A = BH

Area = Base x height

4 x 4 = 16

Base =4

Height = X

16 ➗ 4 = X

16 ➗ B = X/H

16 ➗ 4 = 4

Therefore the answer is 4

Sorry about the other guy I hope this pays up <3

The answer to this problem is 4

A fruit salad recipe calls for 10 cups of berries and 6 cups of peaches. What is the ratio of peaches to berries, in simplest form?


6:10

10:6

3:5

5:3

Answers

it’s 6:10 have a nice night
The answer is 3:5 because you can divide both 10 and 6 by 2

Please Help No Files or Links I Will Give Five Stars and Thank

Answers

Answer:

19. f(x)=-2/1x+2

20. f(x)=10/1+0

Step-by-step explanation:

Sorry to ask but can I get brainliest, I just need one more to level up.

buck is building a horse corral with the shape and dimensions shown in the sketch. He wants to make sure the corners of the corral measure 90 degrees

how long must diagonal AC be so angle B is a right angle?

uprgigt corner is D other side is C

Downleft is A across from B
16 ft down and 12 ft side

Answers

Answer:

BxA=F

Step-by-step explanation:

Diagonal AC must be 20 feet so that ∠B will be 90°.

According to asked question, buck is creating a horse coral  by designing in such a way that corners will be at 90°.

So according to question we have to make ∠B as 90°.

So quadrilateral ABCD becomes a rectangular.

Therefore ΔABC  will be a right-angle triangle in which we can use Pythagoras theorem to measure the diagonal AC.

What is Pythagoras Theorem?

The Pythagoras Theorem says that in a right-angle triangle, the square of the hypotenuse is the sum of square of the other two sides of the right-angle triangle.

In the right-angle tringle ΔABC,

AC²=AB²+BC²

⇒ AC²=16²+12²

⇒ AC²=256+144=400

⇒AC=√400

⇒AC=20 feet

Therefore, Diagonal AC must be 20 feet so that ∠B will be 90°.

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The second of three numbers is 8 more than the first,
and the third number is 3 less than 3 times the first.
If the third number is 15 more than the second, find
the three numbers.

Answers

Answer: The numbers in order are 13, 21, 36

Step-by-step explanation:

First of all, we must convert all the information given in the question into equations so we can look it from a simplified angle, and hence, solve it.

So, let's start off by giving each of the unknown numbers a name. Let's call the first number a, the second number b, and the third number c.

Therefore:

"The second of three numbers is 8 more than the first" gives us:

b = 8 + a

"... the third is 3 less than 3 times the first" gives us:

c = 3a - 3

and "the third number is 15 more than the second" gives us:

c = 15 + b

Now, we can substitute b = 8 + a into c = 15 + b, to get:

c = 15 + (8 + a), which simplified gives us:

c = 23 + a

 

With that done we can use elimination.

We've got c = 23 + a, and c = 3a - 3. We want to eliminate 'a', so we should multiply both sides of c = 23 + a by (-3) to get: -3c = -69 - 3a.

Now we can eliminate the 'a' variable:

c = 3a - 3

-3c = -3a - 69

-------------

-2c = -72

Therefore, we can solve for 'c' by dividing both sides by -2, which leaves us with:

c = 36

Now we can plug that value of 'c' into the equation c = 15 + b, to solve for b:

36 = 15 + b (Subtract 15 from both sides)

21 = b

Now that we've got a value for 'b', we can plug it into the equation b = 8 + a to solve for 'a':

21 = 8 + a (Subtract 8 from both sides)

13 = a

Sorry it's very long, but it's how I solved this

Hope this helped! ;)

13=a I believe. I hoped I helped.

After adding an 8-pound box with 6 identical boxes, the box weighted 72 pounds. The equation is 6x + 8 = 72. What does X equal?

Answers

Answer: x = 10.6666666 or 10 2/3

Step-by-step explanation:

6x + 8 = 72

     - 8   -8

6x = 64

6x/6 = 64/6

x = 10.6666666 aka 10 2/3

the answer is 10.666666

Use the expression 8a + 16c.
Part a
Factor the expression using the GCF.
part b
What is the value of the expression
when a = -5 and c = -1?

Answers

Answer:

PA) 8

PB) 45

Step-by-step explanation:

PA) Find the prime factors of each term in order to find the greatest common factor (GCF).

8

PB)

Step 1:

(8 x 5) + (16 x -1)

Step 2: Multiply

40 + 15

Step 3: Add

45

Given the net, what is the surface area of the rectangular prism below?
3in
2in
3in
2in
4in
2in


24 in 2
60 in 2
52 in 2
40 in 2

Answers

Answer:

it should be 52

Step-by-step explanation:

53......................

What is the difference between mean and median

Answers

The difference between the mean and median is that the mean is the average number. f.e: 1, 2, 2, 2, 3, 3, 4, 5 - and if you add all those up, the mean would be 3, or 2.

But the median is the number in the middle Number.

What if you have 2 medians, though?

Well, that’s easy to solve IMO.

F.e: 22, 22, 23, 23, 23, 24, 24, 24, 25, 25

The median is either 23 or 24, right?

Okay. That’s simple. But what exactly do we do?

Let me show you:

So get the sum of 23 and 24, which is 47.

Now divide 47 by 2. And what do we get?

23.5.

Now round that, and you get 24. So 24 is the median!

Hope that helps!

Answer:

mean is the AVERAGE of all numbers

Step-by-step explanation:

because when  you  add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS!

and a median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average.

hope this helps

SOMEONE PLEASE HELP I NEED IT there is a lonk to see it

Answers

Answer:

The answer is C.

Step-by-step explanation:

area= 3.14 x 7 squared

area=3.14 x 49

area= 153.86

but then you are around it to 153.9cm2

Nancy is going to pick a marble out of a bag without looking. There are three different colors- blue, red, and purple. The probability of choosing a blue marble is .25, and the probability of picking a red marble is ⅔ . What is the probability of Nancy picking a purple marble?
A. 1/12
B. 1/6
C. 1/3
D. 2/3

Answers

i think it’s c if i’m not wrong

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of Nancy picking a purple marble is 1/12

Option A is the correct answer.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

There are three different colors- blue, red, and purple.

The probability of choosing a blue marble is 0.25

The probability of picking a red marble is 2/3

The total probability of always 1.

The probability of Nancy picking a purple marble.

= 1 - (0.25 + 2/3)

= 1 - (1/4 + 2/3)

= 1 - (3 + 8)/12

= 1 - 11/12

= 1/12

Thus,

The probability of Nancy picking a purple marble is 1/12

Option A is the correct answer.

Learn more about probability here:

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fill in the table, find the rule

Answers

Answer: Input Blank : 14 Output Blank : 11 Rule : Subtract 1

Step-by-step explanation:

I will give brainliest, help pls! AND EXPLAIN
You have 15 yards of ribbon for your gift boxes. Each box gets the same amount of ribbon. How much ribbon will each of your 20 gift boxes get?

Answers

Answer:

3/4 of a yard or 0.75 of a yard for each gift box.

Step-by-step explanation:

15 yards of ribbons

20 gift boxes

20/15 = 0.75

0.75 would be split evenly for all 20.

Answer:

2.25 feet

Explanation:

You would get 0.75 yards because 20 boxes divided by 15 yards is 0.75 yards

HELP MEEE PLEASEEEEE


ok let me calm down anyways can someone help me with this please

Answers

Your answer should be C

Which equation represents a proportional relationship?

Answers

Answer:

y = 4x + 1

Step-by-step explanation:

I'm sorry if i am wrong

PLEASE HELP, ILL GIVE BRAIBLIEST!

Answers

B is the answer because grocery stores are usually made up by someone else or by a company so they make their own profit and income

Answer:

Hospitals

Step-by-step explanation:

Sales taxes are generally used for retail purposes and hospitals do not fall into this category. Sorry if it is wrong.

please answer (middle school) (probability)

Answers

12 diffrent variations
they are correct ^^^

The net below is of a triangular prism. What is the surface area of the prism? 6 m 10 m A 288 m2 C 318 m? B 300 m2 D476 m2

Pls help i'll mark brainliest and don't answer if you don't know ( ˘ ³˘)♥ thank you.

Answers

Answer is D. 476m2
Because the area of the 3 rectangles combined is 416 meters squared plus the are of the triangle ( each is 30 meters, there are 2 triangles ) that’s 60 meter squared. 416 + 60 = 476 meters2
Question is answered already

Please help me with this question.

Answers

D
By combining like terms 2x-x=x
And 1+2=3
You’re left with x+3 as the answer

I'm crying for help!!!!!!!!!

Answers

Answer and Step-by-step explanation:

The radius is half of the diameter.

Radius

7ft.

Diameter

14ft.

Circumference

Formula: [tex]C = 2\pi r[/tex]

Plug 7 in for r.

C = [tex]14\pi[/tex]

[tex]14\pi ft^2.[/tex] or 43.9823 [tex]ft^2[/tex]

#teamtrees #PAW (Plant And Water)

Answer:

radius=7, diameter=14 circumference=43.9823

Step-by-step explanation:

radius is 1/2 of diameter diameter is stated 14 and circumefernce is found by dπ

..........I need help.........

Answers

Answer:

ok

Step-by-step explanation:

and its 64cm square

Create an equivalent expression that includes a set of parentheses that make the value of the expression 5. Remember, you can have two or more numbers within the set of parentheses.

32 divided by 10 - 8 divided by 2 - 3

Answers

Rrr4r4rr Reed tried for g try rb t4r)v?!gtrg?♈️♈️♈️⚛️⚛️♎️⛎⛎⛎gg 1

At one store, a DVD is on sale for 25% off regular price of $26.99. At another store, the same DVD is on sale for 30% off regular price of $29.99. Why should you buy the DVD at the first store?

a. 30% is more than 25%
b. $26.99 is less than $29.99
c. 75% of $26.99 is less than 70% of $29.99

Answers

B is the answer i think
B.
Hope that helped and good luck!
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