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guajiro [1.7K]
3 years ago
5

Find the missing lengths of the sides.

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

b = 8√3 and c = 16

Step-by-step explanation:

<u>Points to remember</u>

If the angles of a right angled triangle with angles are 30°, 60, and 90 the their sides are in the ratio 1 : √3 : 2

<u>To find the unknown side lengths</u>

From the given figure we can see a right angled triangle

Angles are 30°, 60° and 90°

sides are in the ratio 1 : √3 : 2

1 : √3 : 2 = 8 : b : c

b = 8√3 and c = 8 * 2 = 16

Therefore b = 8√3 and c = 16

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(a) Complete the table of values for y = 6 - 4x.<br><br> Please help ❤️
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<u>Answer:</u>

\boxed{\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}}

<u>Step-by-step explanation:</u>

Given equation to us is :-

\implies y = 6 - 4x

So , here we can put different values of x in order to get different values of y .

Initial table given to us is ,

\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & & & 2&&-6 \\\cline{1-6}\end{tabular}

<u>Put</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>:</u><u>-</u>

\implies y = 6 - 4x \\\\\implies y = 6 -4(-1) \\\\\implies y = 6 + 4 \\\\\red{\bf\implies y = 10}

<u>Put</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>0</u><u> </u><u>:</u><u>-</u>

\implies y = 6 - 4x \\\\\implies y = 6-4(0) \\\\\implies y = 6 - 0 \\\\\pink{\bf\implies y = 6 }

<u>Put</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>

\implies y = 6-4x \\\\\implies y = 6 - 4(2) \\\\\implies y = 6 - 8 \\\\\blue{\bf\implies y = (-2)}

<u>Hence </u><u>the</u><u> </u><u>final</u><u> </u><u>table</u><u> </u><u>would</u><u> </u><u>be</u><u> </u><u>:</u><u>-</u><u> </u>

\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}

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