Here is how you do it so they asked 120 kids and 46 of them hangs out
on Saturdays so you just do this 46/120=38%
Answer:
1. We already have the measure of the hypotenuse and one out of two acute angle, therefore:
sin53° = x/45 => x = sin53° · 45 ≈35.94
2. We already have one out of two legs of the triangle and one acute angle so we know that:
tan27° = 48/x => x = 48/tan27° ≈ 94.21
Let x represent the amount of 10% solution used.
Let y represent the amount of 25% solution used.
Since 30 liters of 15% solution are being made, our first equation is
x + y = 30
Now we deal with the actual peroxide in each solution.
x liters of 10% peroxide contain 0.1x liters of peroxide.
y liters of 25% peroxide contain 0.25y liters of peroxide.
30 liters of 15% peroxide contain 0.15 * 30 = 4.5 liters of peroxide.
From this information, we can write our second equation.
0.1x + 0.25y = 4.5
We have a system of equations:
x + y = 30
0.1x + 0.25y = 4.5
Multiply the first equation by -0.25 and add to the second equation.
-0.25x - 0.25y = -7.5
0.1x + 0.25y = 4.5
---------------------------
-0.15x = -3
x = 20
Answer: 20 liters
Answer:
1) 1/9
2) -5
Explanation:
Comment if one is needed
Answer:
1) The answer is in decimal since 82.8 is not a square number and does not have a proper square root. And the nearest square number to it is 81 whose root is 9 and the upcoming square number is 100 whose root is 10. So the root of 82.8 will be decimal and between 9 and 10.
2) a^2 + b^2 = c^2
14^2 + 10^2 = c^2
196 + 100 = c^2
296=c^2
root of 296 is 17.2
So, x=17.2
Here also the answer is in decimal since it is not a square number. The nearest square number to 296 is 289 whose square root is 17 and the next square number after 296 is 324 whose root is 18. So the square root of 296 will be in between 17 and 18.
