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
mamaluj [8]
3 years ago
9

SQUARE ROOT RELATED - Please show work and/or explanation What is the square root of 180

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0

Answer:

6\sqrt{5} or approximately 13.416407865

Step-by-step explanation:

List all of the factors of 180.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Find the perfect squares from the list such as:

1, 4, 9 and 36

Choose the biggest one and divide 180 by it.

180 / 36 = 5

Calculate the square root of your square number

\sqrt{36}=6

Your answer is 5\sqrt{6} (in its simplest radical form)

If you wanted to calculate the answer as a decimal, 5 x \sqrt{6} = approximately 13.416407865

You might be interested in
What is the exact area and circumference?
Rudik [331]

Answer:

Step-by-step explanation:

The area of a circle is calculated using the formula: πr^2

The circumference of a circle is calculated using: 2πr

We are given 8 questions, So by addressing them individually

1) Area of Circle 1:

Radius = r = 12 mi

Total angle in a circle = 360°

Given angle = 90

Ratio of given circle to complete circle = 90/360

=> 1/4

Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its area will be 1/4 of the complete circle.

Hence

Area = 1/4 (πr^2)

=> 1/4 (π*12^2 )

=> 1/4 (144π)

=> 36π   Hence option C

2) Area of Circle 2:

Radius = r = 19 in

Total angle in a circle = 360°

Given angle = 315

Ratio of given circle to complete circle = 315/360

=> 7/8

Therefore, the circle 2 is 7/8 of the complete circle with r = 19.

In this way, its area will be 7/8 of the complete circle.

Hence

Area = 7/8 (πr^2)

=> 7/8 (π*19^2 )

=> 7/8 (361π)

=> 315.8π   Hence answer is not provided that is option f

3) Area of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 15.

In this way, its area will be 3/4 of the complete circle.

Hence

Area = 3/4 (πr^2)

=> 3/4 (π*15^2 )

=> 3/4 (225π)

=> 168.75π   Hence answer is not provided that is option f

4) Area of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 90/360

=> 3/4

Therefore, the circle 4 is 3/4 of the complete circle with r = 6.

In this way, its area will be 3/4 of the complete circle.

Hence

Area = 3/4 (πr^2)

=> 3/4 (π*6^2 )

=> 3/4 (36π)

=> 27π   Hence answer is not provided that is option f

5) Circumference of Circle 1:

Radius = r = 12 mi

Total angle in a circle = 360°

Given angle = 90

Ratio of given circle to complete circle = 90/360

=> 1/4

Therefore, the circle 1 is 1/4 of the complete circle with r = 12.

In this way, its circumference will be 1/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 1/4 (2πr) + 2r

=> 1/4 (2π12) + 2*12

=> 1/4 (24π) + 24

=> 6π + 24 Hence answer is not provided that is option f

6) Circumference of Circle 2:

Radius = r = 19 in

Total angle in a circle = 360°

Given angle = 315

Ratio of given circle to complete circle = 315/360

=> 7/8

Therefore, the circle 2 is 7/8 of the complete circle with r = 19.

In this way, its circumference will be 7/8 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 7/8 (2πr) + 2r

=> 7/8 (2π19) + 2*19

=> 7/8 (38π) + 38

=> 33.25π + 38 Hence answer is not provided that is option f

7) Circumference of Circle 3:

Radius = r = 15 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 15.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π19) + 2*15

=> 3/4 (38π) + 38

=> 28.5π + 38 Hence answer is not provided that is option f

8) Circumference of Circle 4:

Radius = r = 6 km

Total angle in a circle = 360°

Given angle = 270

Ratio of given circle to complete circle = 270/360

=> 3/4

Therefore, the circle 3 is 3/4 of the complete circle with r = 6.

In this way, its circumference will be 3/4 of the complete circle. In addition to that, its boundary will include the radius of both sides to make it a close shape.

Hence

Circumference = 3/4 (2πr) + 2r

=> 3/4 (2π6) + 2*6

=> 3/4 (12π) + 12

=> 9π + 12 Hence answer is not provided that is option f

6 0
3 years ago
What will you get when you add two integers
dybincka [34]
Well, it depends if its positive or negative. 2 positive integers will equal a positive, 2 negatives will equal a negative. A negative and a positive will depend.
8 0
3 years ago
Read 2 more answers
I need this answer asap
densk [106]

Answer:

16 x 6 divided by 2 is 48

First add the two bases together whenever you're trying to find the area of a trapezoid then multiply it by the height and multiply by it by 1/2 (which basically you divide by 2).

7 0
3 years ago
Question 9 (1 point)
Luden [163]

Answer:

7

Step-by-step explanation:

16x-80+18=4x+22

16x-62=4x+22

12x-62=22

12x=84

x=7

8 0
3 years ago
Please need help ASAP
Slav-nsk [51]

Answer:

A. 810

Step-by-step explanation:

All you need to do here is add the number of children between ages 0-10 and children of ages between 10-20.

500+310= 810

Hope this helps! :)

7 0
3 years ago
Read 2 more answers
Other questions:
  • Another two step equation ... 1/3y+1/4=5/12
    7·1 answer
  • What inequality describes the weight range of a single nickel
    13·1 answer
  • Write the quadratic equation whose roots are 6 and -1 , and whose leading coefficient is 5.
    7·2 answers
  • Apply the correct label to indicate the result of each event for the dollars-per-yuan exchange rate between the United States an
    14·1 answer
  • Evaluate each using the values given. You must show all the work including the steps to solve.
    9·1 answer
  • Ayoo if dia makes any sense plz help u needa find the domain an range of #1 #2 an #3.. Just unit 10........
    6·1 answer
  • HELP ME PLEASEEEEEEE
    9·1 answer
  • Please I need this asap :)
    12·2 answers
  • 1 HOUR TIME LIMIT
    12·2 answers
  • What is the height of the tree in the image below? 10 points Wall 4 6 ft 24 O I foot O 36 foot None of the above
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!