a square has a diagonal length of 10 meters. How long is the side of the square?

Answers

Answer 1

Answer:

5 × √2 or 7,071067811865475

Step-by-step explanation:

the diagonal of a square splits the square into 2 right triangles. So we can use Pythagorean's theorem.

where c is the hypotenuse. So the diagonal is the hypotenuse here, and thus c = 10. Now, since we are dealing with a square, all the sides are the same length, so a = b. So we have:

a² + a² = c²

2a² = 100

a² = 50

a = √50

a = 5 × √2 or 7,071067811865475

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

Answer 2

Answer: 50

Step-by-step explanation  :<


Related Questions

The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.

Answers

The perimeter of the regular pentagon is 10 centimeters.

Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:

(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10

Therefore, the perimeter of the regular pentagon is 10 centimeters.

Learn more about maths in https://brainly.com/question/11993520

Help me on this I can’t fail

Answers

Answer:

c = green line

Five less than five times a number is less than six times the same number plus
2.

Answers

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in one single step, I'll start off with that.

We can first figure out what it says and make an algebraic equation. We can see what language the question uses and elaborate on that to create our equation.

[tex]5x-5<6x+2[/tex]

We can use algebra to simplify the equation so that we can solve for it.

[tex]-5<x+2\\-7<x\\x>-7[/tex]

We can check if this is correct by testing a few numbers from that range, I'll take -5 and 2.

[tex]5(2)-5<6(2)+2?\\10-5<12+2?\\5<14[/tex]

We've proven that 2 is working.

[tex]5(-5)-5<5(-5)+2?\\-25-5<-25+2?\\-30<-23[/tex]

We've also proven that -5 works.

We can now say that we've solved the problem, the solution of the problem would be x>-7.

Cheers!

please answer this I’ll mark brainliest and follow

Answers

this is the correct answer

multiply pi with 10,000
:>

Answers

Answer:

3.14 x 10,000 equals 31,400

Step-by-step explanation:

Answer:

31415.9

Step-by-step explanation:

yeah-ya............. right?

9. Find the lowest common denominator for the following pairs of fractions.
a. 2/6 and ¾
b. ¼ and 3/8
c. 1/8 and ½
d. ¼ and 3/16

Answers

A. 12
B.8
C.8
D.16

Hope this helps

Find the value of x and thank for answer

Answers

The value for x is 102 degrees

First we can find the second value in the triangle by subtracting 141 from 180. This works because when added together these two angles come together to from a line (180 degrees) because this value is now known (39 degrees) we can subtract both from 180:

180-39-39= x = 102

How to find the null and alternative hypothesis.

Answers

The actual check begins by considering 2 hypotheses. they're referred to as the null hypothesis and therefore the various hypothesis.

For A brainly please help me out

Answers

Answer: 2, 2

Brainly?

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

Answer:

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

What is mean by Circle?

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Since, The standard form for finding the equation of a circle is expressed as;

⇒ (x - a)² + (y - b)² = r²

where;

(a, b) is the center of the circle

And, r is the radius of the circle

Given that;

Diameter = 12 units

And, Radius = 12/2 = 6 units

If the center lies on the y-axis, the center will be at (0, 3)

Substituting into the formula, we will have;

⇒ (x - 0)² + (y - 3)² = 6²

⇒ x² + (y - 3)² = 36

Thus, The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x² + (y - 3)² = 36

Learn more about the circle visit:

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#SPJ5

I think of a number. I add 3 then divide it by 2. My answer is 12. Form an equation and solve it to find my number.

Answers

Answer:

21

Step-by-step explanation:

21 plus 3 equals 24 divided by 2 equals 12

What are the slope and the y-intercept of the linear function that is represented by the graph?

Answers

Answer:

Slope = -3/4

Y-intercept = (0, 3)

Step-by-step explanation:

Rise/Run

-3 Rise and 4 Run

Meets y-axis at y=3. x=0, so (0, 3).

Answer:

y intercept is 3 and the slope is -3/4

Step-by-step explanation:

the line hits the y axis at point 3, and the slope is the rise over run so it is down three and right 4 so -3/4

what is the simplest form of 32/40

Answers

Answer:

4/5

Step-by-step explanation:

Answer:

4/5 or as in decimals, 0.8

Step-by-step explanation:

32/8=4

40/8=5

Help me please!!!!!!!!!

Answers

Answer:

X=5

Step By Step:

simplify √ 18 + √ 20 - √ 45

Answers

Answer:

3√2 - 4√5 -

ig this is the answer

Answer:

3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{18}[/tex]

= [tex]\sqrt{9(2)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex]

= 3[tex]\sqrt{2}[/tex]

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

[tex]\sqrt{20}[/tex]

= [tex]\sqrt{4(5)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex]

= 2[tex]\sqrt{5}[/tex]

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

[tex]\sqrt{45}[/tex]

= [tex]\sqrt{9(5)}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex]

= 3[tex]\sqrt{5}[/tex]

Then

[tex]\sqrt{18}[/tex] + [tex]\sqrt{20}[/tex] - [tex]\sqrt{45}[/tex]

= 3[tex]\sqrt{2}[/tex] + 2[tex]\sqrt{5}[/tex] - 3[tex]\sqrt{5}[/tex] ← collect like terms

= 3[tex]\sqrt{2}[/tex] - [tex]\sqrt{5}[/tex]

Put 62%, 0.71, 0.8, 5/8 in ascending order

Answers

Answer:

0.62 < 5/8 < 0.71 < 0.8

That’s it in ascending order

0.8 > 0.71 > 5/8 > 0.62

That’s it in descending order

Step-by-step explanation:

Answer:

62%, 5/8, 0.71, 0.8

Step-by-step explanation:

62% in form of a decimal is 0.62 and 5/8 is 0.625 when u round off its 0.63 which is 0.01 more than 62%. then 0.71 is 0.1 less than 0.8

A Girl have 15 apples but she gave her friend 5 apples and ate 1 how many apples are left and show your work

Answers

Answer:

She has 9 left

Step-by-step explanation:

15 - 6 = 9

Hope this helps! Brainliest would be appreciated!

Please answer! I’ll give you Brainliest

Answers

A)

The four small squares are all 3x3, so the perimeter is 3+3+3+3 = 12.

12 * 4 = 48

We can find the perimeter of the large diamond shape using the Pythagorean theorem, a^2 + b^2 = c^2

a = 4

b = 4

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c = 5.65685425

So the perimeter of the large diamond shape is

5.65685425+5.65685425+5.65685425+5.65685425 = 22.627417

48+22.6 = 70.6

B)

The areas of the small squares are 3x3 = 9

9 * 4 = 36

The area of the large diamond shape is

5.65685425 * 5.65685425 = 32

36 + 32 = 68

How to solve absolute value inequalities.

Answers

Answer:

I cant even see anything can you reupload your answer, please?

Step-by-step explanation:

Lesson Check (4.NBT.B.6
1. To divide 572 = 4, Stanley estimated to place
the first digit of the whole-number quotient.
In which place is the first digit of the whole-
number quotient?

Answers

The first digit of the whole- number quotient will be in the hundred place.

To determine which place will the first digit of the whole- number quotient be placed after taking the quotient of 572 and 4, we will follow the steps below;

Round up 572 to 1 significant figure. The value expressed as one significant figure is 600.

Since the divisor is a unit value, we will not be rounding it up.

Take the quotient of 600 and 4.

[tex]\frac{600}{4}=\frac{150\times 4}{4 \times 1} =150[/tex]

From the result, we can see that the first digit of the whole- number quotient is to the nearest hundred (100)

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What is a common denominator for 2/3 and 1/2?

Answers

Answer:

6 or 7/6

Step-by-step explanation:

they are both prime so 2*3=6

4/6+3/6=7/6

Answer:

21/31/6/2/34861/27651/7266163)

Why rectangular coordinates are better than polar.

Answers

Answer:

Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.

Please anyone I’m desperate

Answers

Answer:

the answer is B) 12a+6b

Step-by-step explanation:

3+9=12 so 3a+9a=12a,

7-1=6 so 7b-(1)b=6b

Step-by-step explanation:

calm down ! just breathe.

these are totally simple additions and one also very simple subtraction to make.

you know that you can combine terms based on the same variable, right ?

3a + 9a = 12a

7b - b = 6b

the result is then

12a + 6b, so B is the right answer.

this bases already on the same principle of actual numbers.

2×3 + 5×3 = 7×3 because this is also

(2 + 5) × 3

or

6×5 + 6×3 = 6×8 because this is also

6 × (5 + 3)

or

7×8 - 4×8 = 3×8 because this is also

(7 - 4) × 8

and so on.

What is the mean absolute deviation of the data set? {12, 4, 30, 16, 18} 2. 8 5 2006. 4 16.

Answers

Answer:

12 3 30 16 18 2 8 6 2006 4 16 12 4 12 13


Sketch the graph of each line by identifying the x-and y-intercepts.

Answers

Answer:

Slope: -5/3 , Y-intercept: (0,5)

Step-by-step explanation:

Vote brainliest!

A machine depreciates by 1/4 of its value each year. If it cost $50,000 new,
what is its value after 8 years?

Answers

Step-by-step explanation:

The price of machine=$50000

depreciates rate (R )=1/4×100%

=25%

What is four thirds -2/5

Answers

Answer:

14/15

Step-by-step explanation:

You need to find the Least Common Multiple for the denominator to add. LCM of 3 and 5 would be 15. You multiply 5 to 3 to get 15 and 3 to 5 to get 15. You would multiply the numerators by the same number. 4x5=20 and 2x3=6. 20/15-6/15=14/15

please help!!!!!!!!!!

Answers

Answer:

120 / (x+y) = 8

Step-by-step explanation:

120 / (x+y)

= 120 / (3+12)

= 120/15

= 8

Solve for x

#6:

X=_

#7

X= _​

Answers

Step-by-step explanation:

for the first one let's write our equation

(13x+2)+(3x-4)+(5x-7)=180

Combine like terms

21x-9=180

Add 9 to both sides

21x=189

Divide both sides by 21

x=9

Now for the second one

Let's write our equation

(19x-18)+(7x+1)+(10x-9)=180

Combine like terms

36x-26=180

Add 26 to both sides

36x = 206

Divide both sides by 36

x = 5.72222...

Write a proof. fill in statements and reasons for the blank sides, 10 points for each question.

Answers

Step-by-step explanation:

Statements / reasons:

Statement 1 >> RS ≅ UT            Reason 1 >> Given

Statement 2 >> RT ≅ US           Reason 2 >> Given

Statement 3 >> TS ≅ TS            Reason 3 >> Common side

Statement 4 >> ΔRST≅ΔUTS    Reason 4 >> SSS theorem

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