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Andru [333]
3 years ago
14

A car drives at a speed of 34 2/3 mph. How many miles will the car travel in: 40 min?

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0

40 minutes is not a full hour so you need to convert this to hours

40 minutes / 60 minutes = 2/3 of an hour

So a car driving at the rate of 34 2/3 mph will go

34 2/3 * 2/3 = Miles in 40 minutes

40 * (4/9) = ?or

160/9 = ? or

17 7/9 Miles
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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
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Step-by-step explanation:

<h3>Need to FinD :</h3>

  • We have to find the measures of other two angles of triangle.

\red{\frak{Given}} \begin{cases} & \sf{The\ measure\ of\ one\ angle\ of\ traingle\ is\ {\pmb{\sf{10^{\circ}}}}.} \\ & \sf{The\ other\ two\ angles\ are\ in\ the\ ratio\ of\ {\pmb{\sf{3\ :\ 14}}}.} \end{cases}

We know that,

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Angle sum property,

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\rule{200}{3}

\sf \dashrightarrow {10^{\circ}\ +\ 3x\ +\ 14x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {10^{\circ}\ +\ 17x\ =\ 180^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 180^{\circ}\ -\ 10^{\circ}} \\ \\ \\ \sf \dashrightarrow {17x\ =\ 170^{\circ}} \\ \\ \\ \sf \dashrightarrow {x\ =\ \dfrac{\cancel{170^{\circ}}}{\cancel{17}}} \\ \\ \\ \dashrightarrow {\underbrace{\boxed{\pink{\frak{x\ =\ 10^{\circ}.}}}}_{\sf \blue {\tiny{Value\ of\ x}}}}

∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.

\rule{200}{3}

Second AnglE :

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∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.

\rule{200}{3}

Third AnglE :

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  • 14 × 10
  • 140°

∴ Hence, the measure of the third angle of the triangle is 140°.

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-p^6

Step-by-step explanation:

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