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3 years ago

15

Tim walks 2/3 mile to school each day.He walks the same distance home. how far does he walk to and from school during a regular

school week in 5 days ?

2 answers:

Nana76 [90]3 years ago

8 0

2/3 x 2= 1 1/3 miles -> 1 day
So 5 days would be 1 1/3 x 5= 6 2/3 miles or ≈6.67 miles

klio [65]3 years ago

5 0

About 6.7 miles for a week

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Step-by-step explanation:

Kindly refer to the image attached in the answer region for labeling of triangle.

<em>AB </em><em>= 16 </em>

<em>BC </em><em>= 19</em>

<em>AC </em><em>= 15 </em>

$\angle ABC = x^\circ\\\angle ACB = y^\circ$

We have to find the <em>angles </em><em>x</em> and <em>y</em> i.e. $\angle B \text{ and }\angle C$ .

Formula for <em>cosine rule</em>:

$cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}$

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<em>b</em> is the side opposite to $\angle B$ and

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$\Rightarrow cos x = \dfrac{19^{2}+16^{2}-15^{2}}{2 \times 19 \times 16}\\\Rightarrow cos x = \dfrac{392}{608} \\\Rightarrow x = 49.8^\circ$

Similarly, for finding the value of <em>y:</em>

$cos C = \dfrac{a^{2}+b^{2}-c^{2}}{2ab}\\\Rightarrow cos y = \dfrac{19^{2}+15^{2}-16^{2}}{2 \times 19 \times 15}\\\Rightarrow cos y = \dfrac{330}{570}\\\Rightarrow y = 54.6^\circ$

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$x = 49.8^\circ\\y = 54.6^\circ$

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