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
NNADVOKAT [17]
3 years ago
15

Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

Mathematics
1 answer:
tiny-mole [99]3 years ago
8 0

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

AC^2=AD^2+DC^2  

Upon substituting our given values in above formula we will get,

x^2=(30\text{ cm})^2+(30\text{ cm})^2

x^2=900\text{ cm}^2+900\text{ cm}^2

x^2=1800\text{ cm}^2

Let us take square root of both sides of our equation.

x=\sqrt{1800\text{ cm}^2}

x=42.4264\text{ cm}\approx 42\text{ cm}

Therefore, the length of diagonal of our given square is 42 cm.

You might be interested in
What to do when a negative number is subtracted from a positive number?
pentagon [3]
When you see the subtraction<span> (</span>minus<span>) sign followed by a </span>negative<span> sign, turn the two signs into a plus sign. Thus, instead of </span>subtracting<span> a </span>negative<span>, you're adding a </span>positive<span>, so you have a simple addition problem.</span>
5 0
3 years ago
(x+1)^1/2
Step2247 [10]

Answer:

Step-by-step explanation:

L.C.M. of 2 and 3=6

Raise to the power 6

8 0
3 years ago
Which of the following numbers is both a perfect square and a perfect cube?
Marat540 [252]

Answer:

531441

Step-by-step explanation:

We can find by   factorization

531441 = 9 * 9 * 9 * 9 * 9 *9 = (9*9*9) * (9*9*9)

\sqrt[3]{531441}=\sqrt[3]{9*9*9*9*9*9}  =9*9 = 81\\\\\\\sqrt{531441}=\sqrt{(9*9)*(9*9)*(9*9)}=9*9*9=729

7 0
3 years ago
Read 2 more answers
George places 35 books on 7 shelves each shelf holds the same number of books which equations can be used to find how many books
tino4ka555 [31]
35 divided by 7=5 so there's 5 books on each shelf
5 0
3 years ago
Any Quetion in the steps to solve it are shown below 2x-1/4(12x+4)=3
Crazy boy [7]
2x- 3x - 1 =3
-x=4
x=-4
6 0
3 years ago
Other questions:
  • In 5 ​minutes, a conveyor belt moves 300 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt
    10·1 answer
  • What is the sum of -15 and -8 increased by 20?
    8·1 answer
  • How do you write six times the quantity two x plus three y with numbers??
    8·1 answer
  • 1. The point (3, -5) is reflected over the x-axis. What are the<br> coordinates of the new point?
    7·1 answer
  • I need an answer to this
    10·1 answer
  • for all values of x , a function f is defined by f(x)=x^2+7x+12 if f(a)=2, what could be the value of a?​
    11·1 answer
  • On a piece of paper, graph y= -2x - 3. Then determine which answer<br> matches the graph you drew.
    6·1 answer
  • The function f(x) is graphed below. The domain of the function is​
    15·1 answer
  • In how many ways can you place 50 identical balls in six distinct urns such that each urn contains an odd number of balls
    12·1 answer
  • PLZZZ HELPPPP ILL MARK BRAINLIEST TO FIRST AND CORRECT ANSWER THAT HAS WORK AND A THX TO SECOND AND CORRECT ANSWER.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!