1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergeeva-Olga [200]
3 years ago
7

If the perimeter of a square is 20, find the length of a diagonal

Mathematics
1 answer:
avanturin [10]3 years ago
6 0

Answer:

7.07

Step-by-step explanation:

<h2><u>Length</u></h2>

a square has equal length on each side

hence is the perimeter is 20 it means that :

each side is 20/4 = 5

we can make a diagonal line which create 3 right angled triangles

2 sides of the triangle are 5 , this is the base and the height

to find the length we can make use of the Pythagoras theorem

c^2 = a^2 + b^2

c is the hypotenuse ( the diagonal;)

a and b are the opposite and adjacent

hence :

c^2 = 5 ^2 + 5^2

c^2 = 50

c = \sqrt{50}

c = 7.071

to 3sf

<h3><u>diagonal length  = 7.07</u></h3>

You might be interested in
Which of the following equations does not represent a linear relationship between x and y
Ksenya-84 [330]

A linear relationship is an equation that has a constant slope

The equation that does not represent a linear relationship is (b) y = 2x^2 + 5x

<h3>How to determine the non-linear relationship</h3>

A linear equation can take any of the following forms:

y = mx + b

y - y1 = m(x - x1)

Ax + By = c

Any form different from the above forms is not a linear equation

Using the above format as a guide, the equation that does not represent a linear relationship is (b) y = 2x^2 + 5x

Read more about linear relationships at:

brainly.com/question/15602982

7 0
3 years ago
Pls help asap for 13 pls and thank u
AysviL [449]
Answer:
The answer is 35.5 square units


Step-by-step explanation:

The shape represents a rectangle, a small triangle removed from it at the upper right corner and a bigger triangle is attached to it at the upper left corner.

We get this formula:
A(shape) = A(rectangle) - A(small triangle) + A(big triangle)
SO LET'S FIND EACH!

A(rectangle)= length x width
length= 8 units
width= 4 units
We get:
A(rectangle) =8x4= 32 square unit

A(small triangle)= (base x height)/2
base= 1 unit
height= 1 unit
We get:
A(small triangle) = (1x1)/2 = 1/2 = 0.5 square units

A(big triangle)= (base x height)/2
base= 2 units
height= 4units
We get:
A(big triangle)= (2x4)/2 = 8/2 = 4 square units

For the final result:
A(shape) = 32 - 0.5 + 4 = 35.5 square units


8 0
2 years ago
Write an expression that is equivalent to 3y − 9.
dybincka [34]

Answer:

3(y-3)

Step-by-step explanation:

just factor out the greatest common factor

7 0
4 years ago
What is the gcf of 27 and 72
Leya [2.2K]

Answer:

The GCF of 27 and 72 is 9

Step-by-step explanation:

prime factorization of 27 is 3*3*3

prime factorization of 72 is 2*2*2 by 3*3

3*3 is in both, and so we need to multiply that to get our GCF. 3*# is 9, so the GCF of 27 and 72 is 9

8 0
3 years ago
Read 2 more answers
John shared a 12 Slice Pizza equally with two of his friends after his friend ate their share he ate two thirds of his chair wha
Burka [1]
Since "chair" probably means "share", John will have 2 2/3 slices of pizza left. 
The 12 slice pizza is split between 3 people, so each person gets 4 slices. John only eats 2/3 of his 4 slices, and 2/3 of 4 is 2 2/3.
4 0
3 years ago
Other questions:
  • Pealse help meeeeee I NEED HELP
    7·1 answer
  • What’s grader -77 or -54
    11·2 answers
  • 2343 x 23.56 + 94217.23452 / 21421 - 512
    7·2 answers
  • a specific shade of green glaze requires 5 parts blue to 3 parts yellow. a glaze mixture contains 25 quarts of blue and 9 quarts
    5·1 answer
  • Sergio plans to drive 150 miles at a rate of 60 miles per hour. He figures that it will take 25 hours. Which is NOT a reason why
    10·2 answers
  • 9.1% of 140 is what number
    14·2 answers
  • Alex bought 9 2/3 pounds of hamburger meat for a cookout. He plans to make 1/3 pound hamburgers.What is the maximum number of 1/
    14·2 answers
  • Please help!!
    10·2 answers
  • A rectangular bathroom mirror is 4
    13·2 answers
  • PLEASE HELP ASAP
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!