Answer: The correct option is (B) 24 : 25.
Step-by-step explanation: Given that the perimeter of square region S and the perimeter of rectangular region R are equal and the sides of R are in the ratio 2 : 3.
We are to find the ratio of the area of R to the area of S.
Let 2x, 3x be the sides of rectangle R and y be the side of square S.
Then, according to the given information, we have
Therefore, the ratio of the area of R to the area of S is
![\dfrac{2x\times3x}{y\times y}\\\\\\=\dfrac{5x^2}{y^2}\\\\\\=6\left(\dfrac{x}{y}\right)^2\\\\\\=6\times\left(\dfrac{2}{5}\right)^2~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\\=\dfrac{24}{25}\\\\=24:25.](https://tex.z-dn.net/?f=%5Cdfrac%7B2x%5Ctimes3x%7D%7By%5Ctimes%20y%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B5x%5E2%7D%7By%5E2%7D%5C%5C%5C%5C%5C%5C%3D6%5Cleft%28%5Cdfrac%7Bx%7D%7By%7D%5Cright%29%5E2%5C%5C%5C%5C%5C%5C%3D6%5Ctimes%5Cleft%28%5Cdfrac%7B2%7D%7B5%7D%5Cright%29%5E2~~~~~~~~~~~%5B%5Ctextup%7BUsing%20equation%20%28i%29%7D%5D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B24%7D%7B25%7D%5C%5C%5C%5C%3D24%3A25.)
Thus, the required ratio of the area of R to the area of S is 24 : 25.
Option (B) is CORRECT.
<h3>
Answer:</h3>
8/13
<h3>
Step-by-step explanation:</h3>
Given in the question
Ratio of sandwiches white bread to brown bread is 10 : 3
white bread fraction = 10/13
brown bread fraction = 3/13
It is also provided that
2/3 white are vegetarian
1/2 brown are vegetarian
So
for white bread vegetables sandwich we will find 2/3 of 10
20/3/13
for brown bread vegetable sandwich we will find 1/2 of 3
3/2/13
adding both
20/3/13 + 3/2/13
8/13 (approximate)
Step-by-step explanation:
multiply all the numbers by 4 I think except for the exponent
Http://www.madeiracityschools.org/userfiles/376/Classes/17052/Review%20Worksheet%20Unit%209%20Quiz%2...
I would use this website. Hope it helps!
Basically what you do is (the ^ arrow meaning exponent)
You take 3.7 + 4.45 x 10^20
Then 8.15 x 10^20, remove the decimal of 8.15 = 815 x 10^-2 x 10^20
815 x 10^18 = <span>815000000000000000000</span>
