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mestny [16]
3 years ago
11

Greg’s house is 0.8 miles from the library. So far, Greg has walked 5/6 of the distance. How many miles has he walked in fractio

n form.
Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

Greg has walked \frac{2}{3} miles

<em><u>Solution:</u></em>

Given that, Greg’s house is 0.8 miles from the library

Distance between house and library = 0.8 miles

Greg has walked \frac{5}{6} of the distance

Therefore,

Distance walked = \frac{5}{6} of the distance between house and library

Here "of" means multiplication

Thus we get,

\text{Distance walked } = \frac{5}{6} \text{ of } 0.8

\rightarrow \frac{5}{6} \times 0.8 = \frac{5}{6} \times \frac{8}{10}\\\\\text{Simplify the above fraction by reducing to lowest terms }\\\\\rightarrow \frac{5}{6} \times \frac{8}{10}=\frac{2}{3}

Thus Greg has walked \frac{2}{3} miles

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Step-by-step explanation:

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Price of a litre of diesel in the third year = rs 8.50

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Average cost per litre of diesel is rs 8.00

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A triangle has an angle that measures 10°. The other two angles are in a ratio of 3:14. What
ivann1987 [24]

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,

  • The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.

Angle sum property,

  • The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.

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

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