#1 is 65 by 75, next is 3 by 9, and the last is 75 by 25
Answer:
8.94 (Rounded would be 9)
Step-by-step explanation:
By using the Pythagorean Theorem formula,
A^2+B^2 = C^2
You have the hypotenuse (c) = 12
and you have a leg (a) = 8
and you're trying to find another leg (b) = x
In order to find this, you'll have to change up the formula in order to find (B) instead of (C)
B^2 = C^2 - A^2
(B) = (12)^2 - (8)^2
(B) = 144 - 64
(B) = 80
Square root of 80
B = 8.9
Answer:
x =−1−√93/23,−1+√93/23
Step-by-step explanation:
x=0.37581090…,−0.46276742...
Let <em>q</em> be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + <em>q</em> quarts, and it would contain a total amount of 3.2 + <em>q</em> quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + <em>q</em>) / (8 + <em>q</em>) = 0.60
Solve for <em>q</em> :
3.2 + <em>q</em> = 0.60 (8 + <em>q</em>)
3.2 + <em>q</em> = 4.8 + 0.6<em>q</em>
0.4<em>q</em> = 1.6
<em>q</em> = 4
