The answer is 15
To find the answer set up an equation like this
a2 + b2 = c2 (2 means squared)
Here we are trying to find the value of a so we know the values of b and c.
a2 + 20(squared) = 25(squared)
20 squared equals 400
25 squared equals 625
a2 + 400 = 625
Subtract 400 from 625 which equals 225.
Now we find the square root or closest square root of 225.
The square root of 225 is 15. 15 x 15 = 225
The answer is 6x to the power of 2 +48x
Write a proportion
centimeters / kilometers
1.5 / 45 = 0.8 / x
cross multiply
(1.5 * x ) = (45 * 0.8)
1.5x = 36
divide both sides by 1.5
x = 24
The actual distance between the two points is 24 kilometers.
Hope this helps
Answer:
The blue liquid is toxic
Step-by-step explanation:
From the calculations I have done and attached to this problem
Null hypothesis:
H0 : p1 <= p2
Alternate hypothesis:
H1 : p1 > p2
^p1 = 0.925
^p2 = 0.2250
^P = (x1 + x2)/(n1+n2)
= 0.575
After calculating, I got test statistics = 6.33 ( check attachment)
P(z > 6.33) = 0.0000
In conclusion, our pvalue has been found to be less than the level of significance 0.05 so we reject null hypothesis and accept that we have enough sample evidence that the blue liquid is more toxic in comparison to white one.
Please check attachment for calculated test statistics.
Suppose you add x liters of pure water to the 10 L of 25% acid solution. The new solution's volume is x + 10 L. Each L of pure water contributes no acid, while the starting solution contains 2.5 L of acid. So in the new solution, you end up with a concentration of (2.5 L)/(x + 10 L), and you want this concentration to be 10%. So we have

and so you would need to add 15 L of pure water to get the desired concentration of acid.