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azamat
3 years ago
5

Andrew bought 7 bundles of drawing sheets that each cost the same amount of money. The tax on his purchase was $1. He spent a to

tal of $15. Find the cost of each bundle of drawing sheets. Which statement correctly describes how to solve the problem algebraically? Answer Choices Subtract $1 from $15 and then add 7. Subtract $1 from $15 and then subtract 7. Solve the equation 7x−1=15 where x is the cost of each bundle of drawing sheets. Solve the equation 7x+1=15 where x is the cost of each bundle of drawing sheets.
Mathematics
1 answer:
Annette [7]3 years ago
6 0
Solve the equation 7x-1=15 where x is the cost of each bundle of drawing sheets. 

15-1=14
14/7=2
Each bundle cost $2
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Ivan

Answer:

\boxed{\sf cos2A =\dfrac{\sqrt3}{2}}

Step-by-step explanation:

Here we are given that the value of sinA is √3-1/2√2 , and we need to prove that the value of cos2A is √3/2 .

<u>Given</u><u> </u><u>:</u><u>-</u>

• \sf\implies sinA =\dfrac{\sqrt3-1}{2\sqrt2}

<u>To</u><u> </u><u>Prove</u><u> </u><u>:</u><u>-</u><u> </u>

•\sf\implies cos2A =\dfrac{\sqrt3}{2}

<u>Proof </u><u>:</u><u>-</u><u> </u>

We know that ,

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\sf\implies cos2A = 1 - 2\bigg( \dfrac{\sqrt3-1}{2\sqrt2}\bigg)^2

Simplify the whole square ,

\sf\implies cos2A = 1 -2\times \dfrac{ 3 +1-2\sqrt3}{8}

Add the numbers in numerator ,

\sf\implies cos2A =  1-2\times \dfrac{4-2\sqrt3}{8}

Multiply it by 2 ,

\sf\implies cos2A = 1 - \dfrac{ 4-2\sqrt3}{4}

Take out 2 common from the numerator ,

\sf\implies cos2A = 1-\dfrac{2(2-\sqrt3)}{4}

Simplify ,

\sf\implies cos2A =  1 -\dfrac{ 2-\sqrt3}{2}

Subtract the numbers ,

\sf\implies cos2A = \dfrac{ 2-2+\sqrt3}{2}

Simplify,

\sf\implies \boxed{\pink{\sf cos2A =\dfrac{\sqrt3}{2}} }

Hence Proved !

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