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torisob [31]
4 years ago
7

If the length of the side of a square is doubled, what is the ratio of the areas of the original square to the area of the new s

quare?
Mathematics
1 answer:
7nadin3 [17]4 years ago
3 0

Answer:

\frac{1}{4}

Step-by-step explanation:

Let 's' be the side of the original square

the length of the side of a square is doubled, so the length of the new square is 2s

Area of the original square with side length 's' is s^2

Area of the new square with side length '2s' is (2s)^2=4s^2

Area of the new square is 4  times the area of the original square

ratio of the areas of the original square to the area of the new square

\frac{s^2}{4s^2} =\frac{1}{4}

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Which calculation and answer show how to convert 3/12 to a decimal<br> Plz help ASAP
DedPeter [7]

Answer:

Its C

Step-by-step explanation:

It is C becuase when converting a fraction to a decimal, you just divide the numerator by the denominator

Basically solve the fraction

3/12=1/4

1/4 is a bencmark so right away you should know that should equal to 0.25 since its a quarter.

Or you can always look it like this

3 is the numerator

the “/“ between is basically ”divided by”

And the 12 is the denominator

Now read the equation in that order

3/12= 3 DIVIDED BY 12

There you go!

6 0
3 years ago
Find the value of x to the nearest tenth tan x =5
tankabanditka [31]

Answer:

x ≈ 78.7° (in degree)

x ≈ 1.4      (in radians)

Step-by-step explanation:

Given in the question an equation

tan(x) = 5

       x =  tan^{1}(5)

       x = 78.69

       x ≈ 78.7°

In radian:

x ≈ 1.4

4 0
4 years ago
Read 2 more answers
A function f(x) is graphed on the coordinate plane.
Sidana [21]

Answer: y = - 4x + 2


Explanation:


The graph shows a linear function, which is a first degree polynomial, whose form is ax + b.


The rule or fucntion is f(x) = y = ax + b. This form is called the slope-intercept form, because the coefficient a is the slope of the line and b is the y-intercept.


The graph permits you to calculate both parameters.


1) The slope, a is defined in this way:

  • a = rise / run = [change in y] / [change in x] = [y₂ -y₁] / [x₂ - x₁]
  • you can use the points (0, - 2) and (-1,2):

       ⇒ a = [ 2 - (-2) ] / [ -1 - 0 ] = 4 / (-1) = - 4

2) b, the y-intercept, is the value of the function, y, when x = 0. In the graph you can see that this is - 2. b =  - 2.


3) Substituting the values of a and b in the form y = ax + b, you the rule:

  • y = - 4x - 2


8 0
3 years ago
Read 2 more answers
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax how much did she pay
saul85 [17]

Answer:

Kerry should pay = 155520

Step-by-step explanation:

Total amount paid = 14,4000 + 8% of 14,4000

It is given that,

Kerry purchased a used car for 14,4000. And had to pay 8% sales tax

<u>To find the 8% of 14,4000</u>

8% of 14,4000 = (8*144000)/100 = 11520

<u>To find total amount paid</u>

Total amount paid = 14,4000 + 8% of 14,4000

 = 14,4000 + 11520 =155520

Therefore Kerry should pay = 155520

4 0
4 years ago
4x -5 = 2(2x +1)<br> I need help
Nostrana [21]

Answer:

No Solution

Step-by-step explanation:

4x-5=2\left(2x+1\right)

Expand:

4x-5=2* \:2x+2* \:1

4x-5=4x+2

Add 5 to both sides:

4x-5+5=4x+2+5

4x=4x+7

Subtract 4x from both sides:

4x-4x=4x+7-4x

0=7

No solution as this is false.

4 0
3 years ago
Read 2 more answers
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