A square has a perimeter of 20 cm what is the length of its diagonal rounded to the nearest tenth

Answers

Answer 1

Answer: -- All 4 sides of a square are the same length.
   The perimeter is 20 cm.
   So each side is (20/4) = 5 cm.

-- If you cut the square along its diagonal, and throw one piece away ...

   You have a right triangle.
   The legs are sides of the square ... 5 cm each.
   The hypotenuse is the diagonal of the square, which you have to find.

-- The (hypotenuse of any right triangle)²

   = (the length of one leg)² + (the length of the other leg)² .

   (Diagonal)² = (5 cm)² + (5 cm)²

   (Diagonal)² = (25 cm²) + (25 cm²)

   (Diagonal)² = (50 cm²)

   Diagonal = √(50 cm²) = 7.07 cm

   or 7.1 cm rounded to the nearest tenth.

Answer 2

Answer: multiply the length of one side by the square root of 2.

20√2 = 28.28
Rounded to the nearest tenth:
28.28→28.3

28.3 is the final answer

Related Questions

Gia spends 2\5 of her money on a shirt and 4\9 of her remaining money on shoes. What fraction of her money is left?
Forty-two percent of the African-American pilots who served in WWII came to the awards ceremony. One thousand African-American pilots served in WWII. How many of them came to the awards ceremony?
Plz help me i dot know what to do Describe how the diagram models the problem. In your own words, what is valuable about the diagram?Answer in at least 3 complete sentences.
Let t = 5. What is the value of 5t – 5?
Use the discriminant to determine the number and type of solutions the equation has.x2 + 8x + 12 = 0a. no real solutionb. one real solutionc. two rational solutionsd. two irrational solutionsPlease help me :)

What is the product of 0.4 and 0.09?

Answers

$0.4*0.09\n0.036$

0.036

The points (-6, r) and (10,4) lie on a line with slope 1/2Find the missing coordinate r.

Answers

Answer:

r = -4

Step-by-step explanation:

The slope of a line is given by

m= (y2-y1)/(x2-x1)

1/2 = (4-r)/(10 - -6)

1/2 = (4-r) (10+6)

1/2 =( 4-r) /16

Multiply each side by 16

16*1/2 = 4-r

8 = 4-r

Subtract 4 from each side

8-4= 4-r-4

4 = -r

Multiply each side by -1

-4 = r

Answer:

-4

Step-by-step explanation:

½ = (r - 4)/(-6 - 10)

½ = (r - 4)/(-16)

r - 4 = -8

r = -4

Which expression is equivalent to 3(2h-6)-7h

Answers

Answer:

3×-4-7h

.............

A bowling ball has a total diameter of 8.5 in. It consists of 2 parts. The inside is a spherical core with a diameter of 6 in.Surrounding the core is a layer of polyurethane.What is the volume of the polyurethane? Use 3.14 to approximate [tex] \/pi [tex] and round your answer to one decimal place.

___ in3

Answers

so first find the volume of the spere and the volume of the core then subtract the core from the squarere

so

volume of squrere formula 4/3pi times radius^3

diameter=2radius
diameter/2=radius

8.5/2=radius=4.25

4/3 times pi times 4.25^3=321.39

inner core= 4/3 times pi times r^3
diameter/2=6/2=radius=3

4/3 times pi times 3^3=113.04

subtract

sphere-core=321.39-113.04=208.352
round to 1 decimal place

208.4 in^3

the answer is 208.4 cubic inches

Which letters have line symmetry choose our answers that are correct

Answers

Answer:

Letters O and E have lines of symmetry ! Vertically & horizontally

Emilio paid $287.50 in taxes to the school district that he lives in this year. This year’s taxes were a 15% increase from last year. What did Emilio pay in school taxes last year? PLEASE HELP

Answers

Let the Taxes she paid last year be 'x'
So percentage increase = 15% of x
= 15x/100

So,
this year's taxes = Last year's taxes + increment
287.50 = x + 15x/100
287.5 = 115x/100
x = 250

So, she paid $250 as taxes last year.

Other Questions

A withdrawal of $50 is negative or positive?

What is 12/28 in smpilest form

Sos please help me check this

A recreational center has 15 basketballs and 12 soccer balls.What is the ratio of soccer balls to basketballs in simplest form?