Using the conversions given , convert 5 inches to millimeters ( round to the nearest whole millimeter ).

Mathematics

1 answer:

alekssr [168]3 years ago

5 0

The answer you are looking for is c) 127 mm

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Car rental company charges 29 per day and $0.24 per mile. If a car was rented for 7 days and the total bill was $448.76, how far

Paraphin [41]

Answer:

The car drove for 1,024 miles.

Step-by-step explanation:

x=miles driven

y=days driven

448.76=29x+0.24y

448.76=29(7)+0.24y

448.76=203+0.24y

245.76=0.24y

y=1,024

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3 years ago

find the point-slope equation of the line perpendicular to the line y=2x+5 passing through the point (1,4). (please include solu

pishuonlain [190]

First off, let's keep in mind that perpendicular lines have negative reciprocal slopes, hmmm so what's the slope of y = 2x + 5?

well, notice, that equation is in slope-intercept form, thus $\bf y=\stackrel{slope}{2}x+5$ .

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}}
{2\implies \stackrel{slope}{\cfrac{2}{1}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{1}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{1}{2}}}$

so, we're really looking for the equation of a line whose slope is -1/2 and runs through 1,4.

$\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{4})\qquad \qquad \qquad 
slope = m\implies -\cfrac{1}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{1}{2}(x-1)$

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3 years ago

Are the lines (-6,-2) and (2,3) perpendicular ?

morpeh [17]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

in a circle, a 60° sector has an area of a 36π cm^2. find the radius of the circle. round your answer to the nearest whole centi

hammer [34]

Area of circle = $\frac{ \theta }{360^o} \times \pi r^2 \\ 36 \pi = \frac{60^o}{360^o} \times \pi r^2 \\ r^2=216 \\ r= \sqrt{216} =14.70 \ cm \\ r=15 \ cm \ to \ the \ nearest \ whole \ centimeter.$