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cricket20 [7]
2 years ago
13

A car travels 15 1/10 miles in 1/3 of an hour. What is the average speed, in

Mathematics
2 answers:
marusya05 [52]2 years ago
8 0
<h3><u>Given:- </u></h3>

\red{➤}\:\sf Distance \: travelled \: by \: Car= 15\dfrac{1}{10} miles

\quad\sf =\dfrac{10×15+1}{10}= \dfrac{151}{10} miles

\red{➤}\:\sf Time \: taken \: by \: Car= \dfrac{1}{3} \:hours

\\

<h3><u>To Find:-</u></h3>

\orange{☛}\:\sf Average \: Speed \: of  \:Car, \:in \: miles \: per \: hour

\\

<h3><u>Solution</u>:-</h3>

\underline{\tt{Formula\:Applied}}

\green{ \underline { \boxed{ \sf{Speed=\dfrac{Distance  \:travelled}{Time  \:taken}}}}}

\\

\underline{\tt\pink{Putting \:Values-}}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{\frac{151}{10}}{\frac{1}{3}} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{151×3}{10×1} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=\frac{453}{10} \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad \sf Speed=45\frac{3}{10} miles \: per \: hour\\\end{gathered}

\boxed{\sf{Speed  \:of \: the \: Car = 45\frac{3}{10} miles/hour}}

jasenka [17]2 years ago
4 0

Step-by-step explanation:

Miles = 15 1/10

Miles = 151/10 miles

Hour = 1/3 hour

Av = 151/10 miles / 1/3 hour

Av = 151/10 × 3 / 1/3 × 3

Av = 453/10 miles / hour

Av = 45,3 mil / h

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A given line has the equation 10x 2y=−2 . what is the equation, in slope-intercept form, of the line that is parallel to the giv
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The equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 1

<h3>Equation of a line</h3>

A line is the distance between two points

Given the equation of a line expressed as 10x + 2y = -2. Determine the slope

2y = -10x -2

y = -5x - 1

Slope of the line is -5

The equation of a line in point-slope form is y - y1 = m(x-x1)

Substitute the point and the slope of the parallel line

y - 12 = -5(x  - 0)
y - 12 = -5x
y = -5x + 12

Hence the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12) is y = -5x + 12

Learn more on equation of a line  here: brainly.com/question/13763238

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Compare the values of each 3 in the number 633,248
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The figure shows a cylinder of diameter 12cm and height = 15cm. A hole in the shape of cone is bored into one of its end. If the
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Answer:

\bold{495\pi} \approx \bold{1555.088 cm^3}

Step-by-step explanation:

There was no figure but the question is clear

Volume of a cylinder is given by the formula \bold{\pi r^2h}\\

where r is radius of base of cylinder, h is the height

Volume of a cone is given by \bold{\frac{1}{3} \pi r^2 h}

where r is the radius of base of cone, h is the height

The radius of the cylinder = \frac{1}{2}(diameter) = \frac{1}{2}(12) = 6cm

Height of cylinder = 15cm

Volume of cylinder V_{cyl} = \pi (6)^2  15 = \pi (36)15 = \bold{540\pi}

Radius of cone = \frac{1}{2} (radius of cylinder) = \frac{1}{2}(6) = 3 cm

Height of cone same as height of cylinder = 15cm

Volume of cone, V_{cone} = \frac{1}{3}\pi r^2 h = \frac{1}{3}\pi (3)^2 15 =  \frac{1}{3}(9)15\pi = \bold{45\pi}\\


Difference is the volume of the remaining solid

V_{cyl} - V_{cone} = 540\pi - 45\pi = \bold{495\pi} \approx \bold{1555.088 cm^3}



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