If a square has the sides of 6 cm then how far will it be from one corner of the square to the opposite corner?

Answers

Answer 1

Answer:

8.5 cm

Step-by-step explanation:

We know that the square has side lengths of 6cm. To calculate the distance from one corner of the square to the opposite corner, we are calculating the diagonal of the square.

Along the diagonal is where the square gets split in half into two right triangles. The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where c is the longest side of a right triangle and a and b are the other two sides.

To find the length of the square's diagonal, we essentially need to calculate c, the longest side of the triangles. We can do this by plugging 6 into the equation as a and b.

[tex]a^2+b^2=c^2\\6^2+6^2=c^2\\36+36=c^2\\72=c^2\\\sqrt{72} =c[/tex]

[tex]8.5[/tex] ≈ [tex]c[/tex]

Therefore, it will be approximately 8.5cm from one corner of the square to the opposite corner.

I hope this helps!


Related Questions

82.50 +46.63 i need help

Answers

129.13, I believe.

Hope this helps.
Answer: 129.13

Explanation: stack up the decimals and usually add like you do. So 82.50+46.63= 129.13. Make sure you stack them right. :)

Please help me (6+6)/2=

Answers

Answer:

6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

(6 + 6)/2

Step 2: Evaluate

(Parenthesis) Add:                    12/2Divide:                                       6
(6+6)/2= 6 SO THE ANSWER IS 6

How do i do this pls help me
standard form (ax + by = c) to slope-intercept form (y = mx + b)

5x+7y= -21 (ANSWER?)

Answers

Answer:

y=-5/7x-3

Step-by-step explanation:

so, we need the equation to be in y=mx+b form.

The equation right now is 5x+7y=-21 in standard form.

We need to isolate y onto one side

Here's the equation:

5x+7y=-21

subtract 5x from both sides

7y=-5x-21

divide by 7

y=-5/7x-21/7

simplify

y=-5/7x-3

Hope this helps! :)

Triangle A B C is cut by line segment M N. Line segment M N goes from side A B to side B C and cuts both sides into equal parts. The lengths of A M and M B are 88 centimeters, the lengths of C N and N B are 75 centimeters, and the length of A C is 116 centimeters. What is the length of Line segment M N? 58 cm 75 cm 88 cm 116 cm

Answers

Answer:

A

Step-by-step explanation:

Edge

The measure of MN is equal to 58cm, the correct option is A.

What is a Triangle?

A triangle is a polygon with three sides, vertices and angle.

Triangle A B C is cut by line segment M N.

such that,

A M = M B = 88 centimeter

CN =NB = 75 centimeter

AC = 116 centimeter

If a line segment joins the mid-points of two sides of a triangle, then the line segment is parallel to the third side of the triangle and the measure is equal to half of its length.

MN = (1/2) AC

MN = (1/2) * 116

MN = 58 centimeter

To know more about Triangle

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hi, my homework is on khan academy but my screen is ALL broken. cant solve problem, pls dont delete this, need somebodys help. :(

Answers

Answer:

Try finding some place with cheap screen fixing prices. If you can't, ask a friend if they know how to do this type of stuff.

Step-by-step explanation:

If it’s a school computer send it to the school and they’ll send you a different one

1. ¿Cuál de las siguientes fracciones es una fracción MIXTA ?
(2 Points)
O 3 8/6
O 9/3
O 3 6/8​

Answers

The answer is b I’m sure

what is value of expression 3x7+2^3/(3+1)

Answers

Answer:

The value of the expression is 23.

Step-by-step explanation:

3x7+2^3/(3+1) <----- Here is the original problem.

3x7+2^3/4 <----- Simplify what's in the parentheses.

21+2^3/4 <----- Do your multiplication (in the front)

21+8/4 <----- Simplify the exponent. (2 x 2 x 2 = 8)

21+2 <---- Do the division.

23 <----- Here is the correct answer.

Hope this helps! :D

Select all radical expressions that are equivalent to 41 3/5

Answers

Answer:

x^ \frac{m}{n} = \sqrt[n]{x^m}x

n

m

=

n

x

m

and

(x^m)^n=x^{mn}(x

m

)

n

=x

mn

so

x^ \frac{3}{5} = \sqrt[5]{4^3}x

5

3

=

5

4

3

but wait, there's more

4=2², so

x^ \frac{3}{5} = \sqrt[5]{4^3} = \sqrt[5]{(2^2)^3} = \sqrt[5]{2^6}x

5

3

=

5

4

3

=

5

(2

2

)

3

=

5

2

6

=

2^ \frac{6}{5}=(2^ \frac{5}{5})(2^ \frac{1}{5})=2 \sqrt[5]{2}2

5

6

=(2

5

5

)(2

5

1

)=2

5

2

also, 4^3=64

Which expressions have an estimated value that is close to 9? Check all that apply. ​

Answers

Answer:

can you post a picture of the question?

Answer:

Hello There!

Step-by-step explanation:

Could you please put the answer choices/expressions? You can just write them in the comment section and I can edit this answer to help you out :)

Happy New Year

will give brainliest-----------

Answers

Answer: C

Step-by-step explanation:

1.25 + (- 0.75) is equal to 1.25 - 0.75.

1.25 is positive while - 0.75 is negative. So 1.25 is head toward the right while - 0.75 is head toward the left.

And when you substract them, you will get 0.5.  

So the answer is C.

The equation y = 10x describes the amount of money Serena earns, where x is the number of hours she works and y is the amount of money she earns.
The table shows the amount of money Christine earns for different numbers of hours
worked.

Christine's Earnings
Time (h):
3 5 8 10
Money earned:
60 100 160 200

(a) How much money does Christine earn per hour? Show your work.

(b) Who earns more per hour? Justify your answer.

(c) Draw a graph that represents Christine's earnings over time in hours. Remember
to label the axes.

I WILL GIVE BRAINLIEST IF THEY ARE CORRECT AND ALL ANSWERS WERE ANSWERED!!!

Answers

Answer : Answer:

a) $10 per hour

b) Sandra

Step-by-step explanation: he equation y 10x describes the amount of money Sandra earns, where x is the number of hours she  works and y is the amount of money she earns

The table shows the amount of money Susan cams for different numbers of hours worked

Susan's Earnings

Time (h)           Money Earned

5                              40

8                              64                

10                             80

(a) How much money does Sandra eam per hour? Show your work

(b) Who earns more per hour? Justify your answer

Answer:

a)

y = 10x is sandra's equation. To find her hourly rate, we need to find how much she earns in "1" hour. Since x is hours, we plug in x = 1 and find y (which is her pay).

y = 10x

y = 10(1)

y = 10

$10 is Sandra's hourly rate.

b)

To find who earns more per hour, we need to find the hourly rate of Susan as well from the table. Then compare.

5 hours = $40 so per hour is 40/5 = 8

8 hours is 64, so per hour 64/8 = 8

10 hours is 80, so 80/10 = 8

The table is justified at $8 per hour.

We know Sandra earns $10/hr and Susan earns $8 per hour. So Sandra earns more per hour.

Which graph best represents the solution for this inequality?

Answers

Step-by-step explanation:

6|4w + 2| - 2 > 10

6|4w + 2| > 12

|4w + 2| > 2

4w + 2 > 2 or 4w + 2 < -2

4w > 0 or 4w < -4

w > 0 or w < -1.

The correct graph is the 2nd option.

Sherry has read 56 pages of a book. Her teacher wants her to read to at least page 200 by Monday. How many pages must Sherry average reading each of the next six days to satisfy her teacher's request?

Answers

Answer: 43

Step-by-step explanation:

because i know

9/12 +3/12 =?
A. 1
B. 6/12
C. 11/12
D.1/2

Answers

9/12 + 3/12 = 12/12 = 1

Therefore, 1 is your answer.

Answer:

Solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Step-by-step explanation:

We need to solve [tex]\frac{9}{12}+\frac{3}{12}[/tex]

For solving fractions we need to take LCM of denominators.

The LCM of 12, 12 is 12

So, solving:

[tex]\frac{9}{12}+\frac{3}{12}\\=\frac{9*1+3*1}{12}\\=\frac{9+3}{12}\\=\frac{12}{12}\\=1[/tex]

So, solving [tex]\frac{9}{12}+\frac{3}{12}[/tex] we get 1.

Option A is correct answer.

Graham walked to school at an average speed of 3 miles an hour and jogged back along the same route at 5 miles an hour. If his total traveling time was 1 hour, what was the total number of miles in the round trip?

Answers

x/3 + x/5 = 1 hr

8x/15 = 1 hr

x = 15/8

15/8 times 2 for round trip. 15/4 miles or 3.75 miles total

The number of accidents that occur
each day at a certain intersection along
with the corresponding probabilities are
shown.
Accidents
0
1
2.
3
4
Probability
.935
.03
.02
.01
.005
Find the expected number of accidents
each day.
Enter

Answers

Answer: 0.12

Step-by-step explanation:

The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:

= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)

= 0.12

i’m not asking for much :(

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

mcfluffythebigrubberducky

WILL GIVE BRAINLIEST pls help

Answers

i’m answering for points and so the other person can get brainliest lol

I want 196 and 300
The rest I did .
Can anyone plz help.
Thanks in advance

Answers

Answer:

4{(9-2)^2}

[tex] {(9 - 4)}^{2} \times (4) \times (9 - 4 - 2)[/tex]

Ratio of 200m and 1km.​

Answers

Answer:

the ratio of this one is 0.2\1

Answer:

To calculate the ratio, we should have both quantities in same units, so we can convert the kilometer into meters, knowing that 1 kilometerr are 1000m.

1 * 1000 = 1000m

We know we need to calculate the ratio 200:1000.

We can know divide both quantities by 200 and get...

200/200:1000/200 = 1:5

And now,, we know this ratio is 1:5..

Which Sentence about measuring angles is true?
A. An angle that turns through 10/360 of a circle has a measure of 36°
B. An angle that through 1/12 of a circle has a measure of 1°.
C. An Angle that turns through 10/360 Of a circle has a measure 10°
D. An angle that turns through 1/12 Of a circle has a measure of 12°
Pls help I have to stay up all night answering 200 Questions

Answers

The statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Angle

When two straight lines or rays intersect at a shared terminal, an angle is generated. The angle can be measured in degrees or radians.

How to find a  true statement about measuring the angle from the given statements?

Let us discuss all four options.

The measure of a whole circle is [tex]360^{o}[/tex]

(A) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]36^{o}[/tex]" is false.

(B) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]1^{o}[/tex]" is false.

(C) Here, [tex]\frac{10}{360}\times360=10^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

(D) Here, [tex]\frac{1}{12}\times360=30^{o}[/tex]

That is, the statement "An angle that turns through [tex]\frac{1}{12}[/tex] of a circle has a measure of [tex]12^{o}[/tex]" is false.

Therefore, option (C) is correct.

Hence, the statement "An angle that turns through [tex]\frac{10}{360}[/tex] of a circle has a measure of [tex]10^{o}[/tex]" is true.

Learn more about angle here-

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Help pls I really need it

Answers

Answer:

Infinite number of solutions

Step-by-step explanation:

when you solve for V, you notice that the term in "v" goes away, and you end up with a true statement:

2 = 2

This is a true statement no matter what values the variable V has, so it is true for all possible (infinite) values of "v".

Kevin works at a restaurant. He stacks glasses as shown below. Let x be the number of glasses and f(x) be the height of the stack. If 5.5-inch glasses with 1.2-inch lips are stacked vertically, which table correctly models this situation?

Answers

Answer:

[tex]f(x) = 5.5x + 1.2 \\ \: is \: the \: required \: situation.[/tex]

As per the given condition f(x) = 5.5x +1.2 inch will be the required model.

What is function?

" A function is a mathematical expression to represent the relation between  one or more variable."

According to the question,

x represents the number of glasses

f(x) represents the height of the stack

height of the glass = 5.5inch

stack vertically with height = 1.2 inch

Therefore,

Required model

f(x) = 5.5x +1.2

Hence, f(x) = 5.5x +1.2 inch will be the required model.

Learn more about function here

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Jamie wants to run 2 3/4 miles today. He has already run 1 1/4 miles. How much farther must he run to reach his goal?

Answers

Working out:
2 3/4 ー 1 1/4 = 1 2/4 = 1 1/2

Answer:
He needs to run 1 1/2 more miles.

Answer:

0 miles

Step-by-step explanation:

Just subtract 11/4 from 2 3/4

2 3/4 - 11/4 = 0

So, he doesn't need to run any more

Which of the following is another way to express the equation 16 = -9 + 2?
16 = z - 9
16 = z+9
16 = -z + 9
16 = -z - 9

Answers

16=z-9
Make sure the Z stays positive and the 9 stays negative

The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day 10? A graph entitle House Sales shows Number of Days on the x-axis, from 0 to 12, and Number of Houses Sold on the y-axis, from 0 to 12. A line connects 5 points. The points are (0, 0), (2, 8), (6, 6), (10, 2), (12, 4). Negative four-thirds Negative three-fourths 6 8

Answers

Answer:

-3/4

Step-by-step explanation:

Answer:

-3/4 on EDG 2020

Step-by-step explanation:

Got it Right :)

Billy was standing on a diving board that was 4 feet above the water. He dove into the pool which was 8 feet deep and touched the bottom. Which statement accurately describes this
situation?

Answers

Billy jumped 12 feet because 8+4 is 12

An insurance company charges Ted E. Bear $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

Answers

Answer:

$900  

Step-by-step explanation:

The given parameters are;

The amount Ted pays per year for insurance on his home = $1,400

The value of the insurance policy = $5000

The chance that Ted will make a claim on the policy = 10%

The expected value is given as follows

Incidence                     Probability(p)        Value(v)                                   v × p

A claim is made            0.1                  $5,000 - $1,400 = -$3,600     -$360

No claim                        0.9                 $1,400                                       $1260

Expected value is $1,260 - $360 = $900

The value the insurance company can be expected to make on average on the policy is $900    

Lupe has 14 stickers that she wants to give to 2 friends.
She wants each friend to have the same number of stickers.

Select the three statements that describe how Lupe should give the stickers to her friends.

A. Each friend gets 14÷2 stickers.


B. Each friend gets 2 of the 14 stickers.


C. Each friend gets 142 stickers.


D. Each friend gets 7 of the 14 stickers.

Answers

A. You would divide it between the two

The sales tax in a certain county is 7%. If an item marked at $19.94 is sold within the county, estimate the final cost of the item once tax is included.

Answers

Given:

Rate of sales tax = 7%

Marked price of an item = $19.94

To find:

The final cost of the item once tax is included.

Solution:

We have,

Rate of sales tax = 7%

Marked price of an item = $19.94

[tex]\text{Sales tax}=\dfrac{7}{100}\times 19.94[/tex]

[tex]\text{Sales tax}=1.3958[/tex]

Now, final cost of the item once tax is included is

[tex]\text{Final cost}=\text{Marked price}+\text{Sales tax}[/tex]

[tex]\text{Final cost}=19.94+1.3958[/tex]

[tex]\text{Final cost}=21.3358[/tex]

Therefore, the final cost of the item once tax is included is $21.3358.

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