The tangents are equal length, so
.. 8x = x^2
We presume their length is not zero, so we can divide by x to get
.. 8 = 2x
.. 4 = x

Then the length of each tangent is 8*4 = 32 units.

3 0

3 years ago

A scientist has two solutions, which she has labeled Solution A and Solution B. Each contains salt. She knows that Solution A is

Scorpion4ik [409]

Answer:

26 ounces of 55% solution
104 ounces of 80% solution

Step-by-step explanation:

Let x represent the quantity of 80% solution. Then 130-x is the amount of 55% solution. The total amount of salt in the mix is ...

0.80x +0.55(130 -x) = 0.75·130

0.25x = 0.20·130 . . . . . . . subtract 0.55(130)

x = 0.20/0.25(130) = 104

130-x = 26

She should use 26 ounces of 55% solution and 104 ounces of 80% solution.

5 0

3 years ago