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DanielleElmas [232]
3 years ago
13

The product of 9 and the quantity 5 more than a number t is less than 5

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
9(t+5) \ \textless \  5\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\(9)(t)+(9)(5) \ \textless \  5\\\\9t+45 \ \textless \  5\ \ \ |subtract\ 45\ from\ bot\ sides\\\\9t \ \textless \  -40\ \ \ \ |divide\ both\ sides\ by\ 9\\\\\huge\boxed{t \ \textless \  -\dfrac{40}{9}\to t \ \textless \  -4\dfrac{4}{9}}
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Answer:

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Step-by-step explanation:

In order to find the hypotenuse, we just need to use the Pythagorean Theorem.

Remember, that this theorem only works for right triangles.

This theorem states that a^2+b^2=c^2

This is where a and b are legs of the triange, and c is the hypotenuse.

Knowing this, we can plug our values in.

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41.344+12.25=c^2

53.594=c^2

Root both sides.

c=7.32 (about)

Round that to tenths.

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