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
vladimir1956 [14]
3 years ago
10

Find the length of the diagonal of a square with perimeter of 24

Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

d = 6sqrt(2) or 8.4853

Step-by-step explanation:

<u><em>Formula</em></u>

P = 4*s

s^2 + s^2 = d^2 where d is the diagonal and s is the side.

<u><em>Givens</em></u>

P = 24

<u><em>Solution</em></u>

P = 4s         Substitute for s

24 = 4*s      Divide by 4

24/4 = s

s = 6

================

d^2 = s^2 + s^2

d^2 = 6^2 + 6^2

d^2 = 36 + 26

d^2 = 72

d = sqrt(72)

Factors of 72

72: 6 * 6 * 2

<em><u>Rule</u></em>: Every pair of = factors allows you to take one of them outside the sqrt sign and throw the other a way. If there are no pairs, whatever you started with stays under the root sign.

sqrt(6*6*2) = 6sqrt(2)

  • The diagonal length is either
  • d = 6*sqrt(2) or
  • d = 8.4853

You might be interested in
State 4 solutions for the equation that is modeled by the graph.
Norma-Jean [14]

Answer:

see explanation

Step-by-step explanation:

Any coordinate point that lies on the line is a solution , that is

(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )

7 0
2 years ago
Sharon is working her way through school. She works two part-time jobs for a total of 22 hours a week. Job A pays $5.90 per hour
slavikrds [6]
The answer is 11


Hope this helps :D
8 0
3 years ago
340 over 8 as a unit rate
Anastasy [175]
340/8 = 42.50 per unit
4 0
3 years ago
Read 2 more answers
Square Root
Lynna [10]

Answer:

Domain: [0,infinity)

Range: [0,infinity)

X-intercept: (0,0)

Y-intercept: (0,0)

Step-by-step explanation:

5 0
2 years ago
Construct and interpret a 95% confidence interval to estimate the proportion of the earth that is water. Show all work. Make sur
blondinia [14]

the answer would be 2

3 0
2 years ago
Other questions:
  • Bess wants to find the favorite sports of students at her school. How can she choose a sample for her survey?
    8·2 answers
  • Draw line ST intersecting plane M at point R
    9·1 answer
  • Mei is evaulating an expression using absolute value. Fonder her mistake and correct it. |-14|=14​
    8·1 answer
  • You want to be able to withdraw $4000 a month for 30 years how much would you need to have in your account with an APR of 3.4% t
    6·1 answer
  • Solve the equation <br> -13/4 -x= 1/2x -1
    9·2 answers
  • You weigh a gallon of 2% milk in science class and learned that it is approximately 8.4 pounds your past him up to the next grou
    12·2 answers
  • After 85% reduction you purchase a new washing machine for $75. What was the original price of the machine
    6·2 answers
  • What’s the slope of the line graphed below?
    15·1 answer
  • Rewrite the radical expression as an expression with rational exponents.
    13·1 answer
  • Chantay made this square picture. She wants to glue yarn around the border to make a frame. How much yarn does she need?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!