Which statement about a histogram is true?

Mathematics

1 answer:

ikadub [295]3 years ago

8 0

Answer:

Step-by-step explanation:

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The boxed definition of absolute value states that |a|=-a if a is a negative number. Explain why |a| is always nonnegative, even

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Final answer:

Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.

Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.

Step-by-step explanation:

Step 1

It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.

Step 2

This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.

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What is the length of side TS?

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Step-by-step explanation:

In order to find the length of side TS, first we need to find the length of side TR which is perpendicular to side QS.

By Geometric mean property:

${TR} = \sqrt{6 \times 12} \\ \therefore \: {TR} = \sqrt{6 \times 6 \times 2} \\ \therefore \: {TR} = 6\sqrt{2} \\ \\ In \: right \: \triangle \: TRS: \\ TS^2 = TR^2 + RS^2 \\ \therefore \: (3x)^{2} = {(6 \sqrt{2}) }^{2} + {(12)}^{2} \\ \therefore \: 9x^{2} = 72 + 144 \\ \therefore \: 9x^{2} =2 1 6 \\ \therefore \: x^{2} = \frac{2 1 6}{9} \\ \therefore \: x^{2} =24 \\ \therefore \: x = \sqrt{24} \\ \therefore \: x = 4.89897949 \\ \therefore \: x \approx \: 4.9 \\ \therefore \: 3x = 3 \times 4.9 \\ \therefore \: 3x =14.7 \\ \huge \red{ \boxed{\therefore \: TS = 14.7 \: units}}$

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Answer:

Step-by-step explanation:

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