Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.
The other side of larger rectangle is 2 cm.
We know that, area of rectangle is
So, area of the larger rectangle is
Therefore, the area of the larger rectangle is 8 sq. cm.
Since most of these are mixed number you have to convert them into improper fractions.
For an example 2 3/4 x 1/2
First you would have the convert 2 3/4
You would add 2 to 3 then multiply 2 to 4
So it would be (2x4) + 3
You keep the denominator of the originally fraction so it would be 11/4
Then to finish you would multiply straight across so
11x1= 11
4x2=8
11/8
1 3/8
Hope this helps!!
X = amount of the 18% solution
y = amount of the 40% solution
we know the 18% solution has only 18% of alcohol, the rest is maybe water or something, now, how many liters is 18%? well, 18% of anything is just (18/100) * anything, so, 18% of x is just (18/100) *x or 0.18x, and that's how many liters are there.
likewise, how many liters are there in the 40% solution? well, (40/100) * y, or 0.4y, that many.
we know the mixture has to yield 10 liters at 20% alcohol, how many liters of only alcohol is that? well, (20/100) * 10, or 2 liters.
how much of the 40% solution? well y = 10 - x
Answer:
301.44 cubic units
Step-by-step explanation:
