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noname [10]
4 years ago
11

Mr. Rodriguez, a college instructor, can grade his class papers in 3 hours while it takes his assistant 4 1/2 hours. If Mr. Rodr

iguez graded the papers for 1 hour and then left the job for his assistant to complete, how long will it take his assistant to finish grading papers?
Mathematics
1 answer:
cricket20 [7]4 years ago
7 0
3 1/2 hours because Rodriquez graded one hour of papers and if his assistant grades the class papers in 4 1/2 hours, it should only take him 3 1/2 hours since Rodriquez helped with an hour of it
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Answer:

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Step-by-step explanation:

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Find the length of the hypotenuse
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Answer:

The Hypotenuse is side just opposite to the right angle.

Step-by-step explanation:

By Pythagoras' theorem,

c^2=a^2+b^2

c^2(hypotenuse to be found)= 30^2+ 16^2

<em>c^2=1156 </em>

<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>

<em><u>The square root of 1156 is 34. </u></em>

<h2><em><u>Thus, c ( hypotenuse) = 34</u></em></h2>

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Step-by-step explanation:

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Rewrite (2x^2+13x+26) / x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x). In the rewritten expression, q(x) is_____and r
likoan [24]

The value of q(x) is 2 x+5

The value of r(x) is 6

Explanation:

The given expression is \frac{2 x^{2}+13 x+26}{x+4}

We need to rewrite the expression in the form of q(x)+\frac{r(x)}{b(x)}

Simplifying the expression, we get,

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Separating the fractions, we have,

\frac{2 x^{2}+8 x}{x+4}+\frac{5 x+26}{x+4}

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Now, we shall further simplify the term \frac{5 x+26}{x+4} , we get,

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\frac{5 x+26}{x+4}=5+\frac{6}{x+4}

Substituting the value \frac{5 x+26}{x+4}=5+\frac{6}{x+4} in the equation(1), we get,

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q(x)=2 x+5

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Step-by-step explanation:

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