A county government says that a safe level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

Let y represents the maximum variation in the level of chlorine,

Given,

Level of chlorine in a hot tub is within 1.75 ppm of 3.25 ppm.

So, the standard level of chlorine = 1.75 + y or 3.25 - y

⇒ 1.75 + y = 3.25 - y

⇒ 2y = 5

⇒ y = 2.5

Thus, the standard level would be 2.5 ppm,

If x represents the present level of chlorine,

Then it would be lie within 1.75 ppm of 3.25 ppm.

If the difference between x and standard level ≤ Maximum variation

⇒ |x-2.5| ≤ 0.75

Which is the required absolute value inequality to represent this situation.

b. If x = 1.0 ppm,

Since |1.0-2.5|=1.5 which is not less than equal to 0.75,

Hence, he should add more chlorine.

Step-by-step explanation:

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A base angle of an isosceles triangle measures 30, and the length of one of the legs is 12. What is the length of the altitude d

AfilCa [17]

Answer: 6

Step-by-step explanation:

From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:

Sin = opposite/hypotenuse

Sin 30°=length of the altitude/12

Note that sin 30° = 0.5

0.5 = length of the altitude/12

length of the altitude = 12 × 0.5

Hence, length of altitude = 6

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3 years ago

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