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Sliva [168]
2 years ago
13

What is the ratio of the area of the inner square to the area of the outer square?

Mathematics
2 answers:
Anastasy [175]2 years ago
4 0

Answer:

\frac{(a-b)^2+b^2}{a^2}

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

=\sqrt{(a-b-0)^2+(0-b)^2}

=\sqrt{(a-b)^2+b^2}

Thus the area of the inner square = (side)²

=(\sqrt{(a-b)^2+b^2})^2

=(a-b)^2+b^2\text{ square cm}

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

=\sqrt{(a-0)^2+0^2}

=\sqrt{a^2}=a

Thus, the area of the outer square = (side)²

=a^2\text{ square cm}

Hence, the ratio of the area of the inner square to the area of the outer square

=\frac{(a-b)^2+b^2}{a^2}

8090 [49]2 years ago
4 0

Answer:

I got this fraction:

frac{(a-b)^2+b^2}{a^2}

(I got the answer correct)

Hope this is helpful :)

Step-by-step explanation:

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6 0
2 years ago
Need help with this asap, please
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Answer:

<h3>             Perimeter = 3√5 + 6 + √73 + √58 + 5√2</h3>

Step-by-step explanation:

AB=\sqrt{(6-0)^2+(5-8)^2}=\sqrt{36+9}=\sqrt{45}=3\sqrt5\\\\BC=|-1-5|=|-6|=6\\\\CD=\sqrt{(-2-6)^2+(-4-(-1))^2}=\sqrt{64+9}=\sqrt{73}\\\\DE=\sqrt{(-5-(-2))^2+(3-(-4))^2}=\sqrt{9+49}=\sqrt{58}\\\\EA=\sqrt{(0-(-5))^2+(8-3)^2}=\sqrt{25+25}=\sqrt{25\cdot2}=5\sqrt2

6 0
3 years ago
Which linear equation is represented by the table?
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Answer:

On E. the first answer is = -2.5x-15 and the solution is (-6,0)

Step-by-step explanation:

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6 0
3 years ago
A spinner with 4 sections labeled a through d is spun and a coin flipped. What is the sample for the two events
ValentinkaMS [17]

Answer:

(HA, HB, HC, HD, TA, TB, TC, TD)

Step-by-step explanation:

Spinner : (a, b, c. d)

Coin : (H, T)

Sample space :

____ A _____ B ______ C ______ D

H __HA ____ HB _____ HC _____ HD

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T__TA _____TB ______ TC _____ TD

Sample space : (HA, HB, HC, HD, TA, TB, TC, TD)

7 0
2 years ago
Find the value of x?
Marrrta [24]

Step-by-step explanation:

 180-89=91(angles on a straight lline)

 5x-24=91(Corresponding angles)

 5x      =91+24

     5x =115

  <em>    x  =23 degrees</em>

94+13x-5=180(allied angles)

94+13x-5 =180-94+5

13x           =91

<em>               x=7</em>

7(x-7)=7x-49

7x-49=126(corresponding angles)

7x      =126+49

     7x=175

<em>        x=25</em>

<em>Hope you got it </em>

<em>If you have any question just ask me</em>

<em>If you think this is the best answer please mark me as BRAINLIEST</em>

5 0
2 years ago
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