John completes a long distance run at an average speed of 8.5 miles per hour. if it takes him 6 hours,how far did he run

Mathematics

1 answer:

Studentka2010 [4]2 years ago

6 0

He ran 51 miles because
8.5 * 6 = 51.

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Step-by-step explanation:

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3 years ago

Given the triangle below, which of the following is a correct statement? Right triangle ABC with AB measuring 5, AC measuring 6,

Elanso [62]

Drawing a diagram to match this figure, BC would have to be the hypotenuse as it is the longest side of the triangle. Angle A would have to be the right angle.
For the first choice, $\cot B = \frac{1}{ \tan B} 
\\ = \frac {1}{\frac {6}{5}}
\\ = 1 \div \frac{6}{5} = \frac{1}{1} \div \frac{6}{5}
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The second choice gives us $\csc C= \frac{1}{ \sin C}= \frac{1}{\frac {5}{8}}
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The third choice gives us

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3 years ago

Which of the following equations represents a line that is perpendicular to

Andreyy89

Answer:

$\large\boxed{y=\dfrac{1}{2}x}$

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{We have the equation:}\ y=-2x+4\to m_1=-2.\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation:}\ y=\dfrac{1}{2}x+b.\\\\\text{Put the coordinate of the point (4, 2) to the equation:}\\\\2=\dfrac{1}{2}(4)+b\\\\2=2+b\qquad\text{subtract 2 from both sides}\\\\0=b\to b=0.\\\\\text{Finally:}\\\\y=\dfrac{1}{2}x$