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
Sauron [17]
2 years ago
7

Suppose that you had two squares, a small one and a large one. The area of the large square is twice that of the small square. H

ow many times larger is the side length of the large square than the side length of the small square?
Mathematics
1 answer:
WARRIOR [948]2 years ago
7 0

Answer:

The side length of the large square is √2 times larger than the side length of the small square.

Step-by-step explanation:

Suppose we have a small square (square 1) and a large square (square 2). The area of the large square is twice that of the small square, that is,

A₂ = 2 A₁

A₂/A₁ = 2 [1]

The area of a square is equal to the length of the side (l) raised to the second power.

A = l²

l = √A

The ratio of l₂ to l₁ is:

l₂/l₁ = √A₂ / √A₁ = √(A₂/A₁)

We can replace [1] in the previous expression.

l₂/l₁ = √2

The side length of the large square is √2 times larger than the side length of the small square.

You might be interested in
Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?
xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

  • (x - h)² + (y - k)² = r²                    where (h, k) is the center

<u>Here find the radius using distance formula</u>:                → origin : (0, 0)

  • √(x2-x1)²+(y2-y1)²
  • √(3-0)²+(5-0)²
  • √9+25
  • √34

<u>Thus the equation of circle</u>:

  • (x - 0)² + (y - 0)² = (√34)²
  • (x - 0)² + (y - 0)² = 34
  • x² + y² = 34

7 0
2 years ago
Read 2 more answers
Find the linear equation of the plane through the point (2,4,9) and parallel to the plane x+4 y+5 z+4 =0.
storchak [24]
Y = x + 5A linear equation (in slope-intercept form) for a line perpendicular to y = -x + 12 with a y-intercept of 5.y = 1/2x - 5Convert the equation 4x - 8y = 40 into slope-intercept form.y = -1/2x + 5A linear equation (in slope-intercept form) which is parallel to x + 2y = 12 and has a y-intercept of 5.3x - y = -5A linear equation (in standard form) which is parallel to the line containing (3, 5) and (7, 17) and has a y-intercept of 5.y = -3x + 1A linear equation (in slope-intercept form) which contains the points (10, 29) and (-2, -7).y = -5A linear equation which goes through (6, -5) and (-12, -5).x = -5A linear equation which is perpendicular to y = 12 and goes through (-5, 5).y = 5A linear equation which is parallel to y = 12 and goes through (-5, 5).y = -x + 5A linear equation (in slope-intercept form) which is perpendicular to y = x and goes through (3, 2).y = -5xA linear equation (in slope-intercept form) which goes through the origin and (1, -5).x = 2A linear equation which has undefined slope and goes through (2, 3).y = 3A linear equation which has a slope of 0 and goes through (2, 3).2x + y = -9A linear equation (in standard form) for a line with slope of -2 and goes through point (-1, -7).3x +2y = 1A linear equation (in standard form) for a line which is parallel to 3x + 2y = 10 and goes through (3, -4).y + 4 = 3/2 (x - 3)A linear equation (in point-slope form) for a line which is perpendicular to y = -2/3 x + 9 and goes through (3, -4).y - 8 = -0.2(x + 10)<span>The table represents a linear equation.
Which equation shows how (-10, 8) can be used to write the equation of this line in point-slope form?</span>
4 0
2 years ago
How do you turn a fahrenheit to kelvins??
yulyashka [42]
Using the following equation is how you translate degrees Fahrenheit to Kelvin:

Kelvin = (Fahrenheit + 459.67) * 5 / 9<span> 

or you could use: 
</span>
Kelvin = (Fahrenheit - 32) * 5 / 9 + 273.15<span> </span>
6 0
3 years ago
Explain why -4 is greater than -10 even though 4 is less than 10
Korvikt [17]
-4 is greater than - 10 because -4 is closer to 0 than -10 is
4 0
3 years ago
Read 2 more answers
What is the area of this polygon?<br><br><br><br> Enter your answer in the box.<br><br> units²
Gwar [14]

Answer:

  39 units²

Step-by-step explanation:

Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...

  (5 units)(6 units) = 30 units²

Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...

  (1/2)(6 units)(3 units) = 9 units²

Then the total area of the polygon MVEDR is ...

  30 units² +9 units² = 39 units²

4 0
3 years ago
Other questions:
  • Find the simple interest on #1500 in 5 years at 4% per annum
    11·1 answer
  • The area of a circle is 113.04 in.^2. What is the radius of the circle?
    15·1 answer
  • What is the solution to this equation:<br> X+7=-8
    8·1 answer
  • Find the volume of the following rectangular prism HELP PLSSSSSSSS
    5·1 answer
  • Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?
    9·2 answers
  • Every year, the value of a property in singapore appreciates by 15% of its value in the previous year. If the value of the prope
    8·2 answers
  • 100 + 5 x 4 + 4^3<br><br><br><br> Sndbdnd
    9·2 answers
  • Case cost $3.82 , unit cost $0.32,paper cost ,$0.03, condiment cost $0.02 what is the item total cost?
    14·1 answer
  • Write the expression using a single exponent.
    15·2 answers
  • Guys how do I solve 3x+x. PLEASE HELP!!!!!
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!