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Ivanshal [37]
2 years ago
9

Please help me with this I’ll make you as brainlist

Mathematics
1 answer:
Arlecino [84]2 years ago
5 0

Answer:

x = 3\sqrt{13} = 10.8

Step-by-step explanation:

Both problems are done the same way.  I will do the first one and you do the second one.  OK?

Move the radius x to make a right triangle.  The 6 unit segment bisects the chord.  So, the legs of the right triangle are 6 and 9

The use the Pythagorean theorem to find x, which is the hypotenuse of the right triangle.   Now,

6^{2}  + 9^{2}  = x^{2}

x^{2} = 36 + 81 = 117\\x = \sqrt{117} = 3\sqrt{13}= 10.8

None of the answer choices are to the nearest tenth.  So, I am confused about that.

In  the second problem, the answer should be 11.2

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A scientist needs 10 L of a solution that is 60% acid. She has a 50% acid solution and a 90% acid solution she can mix together
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Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

The equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

<h3>What is allegation?</h3>

Allegation is a method to find the ratio in which two or more indignant are mixed to produce a mixture or solution.

Given information-

A scientist needs 10 L of a solution that is 60% acid.

The percentage of two acid solution are 50% and 90%.

Variable<em> x</em><em> </em>represent the number of liters of the 50% solution.

Variable<em> y </em>represent the number of liters of the 90% solution.

Quantity of acid from 50% solution is 0.5x liters, and quantity of acid from 90% solution is 0.9x liters.

As the scientist needs 10 L of a solution that is 60% acid. Therefore the quantity of acid in 60 percent acid solution is,

a=10\times\dfrac{60}{100} \\a=6

Thus 6 liters of acid required by the scientist. As to get the 6 liters of acid from 50% and 90 percent solution, we need to add the amount of acid in these solutions.Thus,

0.5x+0.9y=6

This is the required equation.

Hence the equation represents the total liters of acid that are needed is,

0.5x+0.9y=6

Thus the option 3 is the correct option.

Learn more about the mixture and allegation  here;

brainly.com/question/24372098

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