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Sauron [17]
3 years ago
6

Help me solve this percentages and prices. (show your work)​

Mathematics
1 answer:
Alona [7]3 years ago
4 0

Answer:

$34.50

$1.01

Step-by-step explanation:

For these two problems, you must find a percent of a number. Since percentages can easily be turned into decimals, this is easy to do. First, turn the percent into a decimal by moving the decimal point two to the left; so, 6.25% becomes 0.0625. Then, multiply this number by the cost, 32.47. Finally add that, 2.02, to the cost to get the final answer, $34.50. For the next question do the same. Turn the percent into a decimal and then multiply that by the cost to get the total tax, $1.01.

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Step-by-step explanation:

steps are below

step 1

y^3-8y^2+19y=12  equation

step 2

y^3-8y2+19y(-12)=12(-12)  minus 12 from both sides

y^3-8y^2+19y-12=0

step 3

(y-1)(y-3)(y-4)=0  add brackets

step 4

(y-1)(y-3)(y-4)=0  factor

step 5

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If a loaf of bread was priced $1.50 on one day and $1.20 the next, what is the percent decrease
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Cos (90-theta) • cosec90-theta) =tano. How?​
denis-greek [22]

Answer:

<u>______________________________________________________</u>

<u>TRIGONOMETRY IDENTITIES TO BE USED IN THE QUESTION :-</u>

For any right angled triangle with one angle α ,

  • \cos (90 - \alpha  ) = \sin \alpha  or  \sin(90 - \alpha ) = \cos\alpha
  • cosec \: (90 - \alpha  ) = \sec\alpha   or  \sec(90 - \alpha ) = cosec\:\alpha

<u>SOME GENERAL TRIGNOMETRIC FORMULAS :-</u>

  • <u></u>\sin \alpha = \frac{1}{cosec \: \alpha }  or  cosec \: \alpha  = \frac{1}{\sin \alpha }
  • <u></u>\cos \alpha = \frac{1}{\sec \alpha }  or  \sec \alpha = \frac{1}{\cos \alpha }

<u>______________________________________________________</u>

Now , lets come to the question.

In a right angled triangle , let one angle be α (in place of theta) .

So , lets solve L.H.S.

\cos (90 - \alpha ) \times cosec(90 - \alpha )

=> sin\alpha  \times \sec\alpha

=> \sin\alpha  \times \frac{1}{\cos\alpha }

=> \frac{\sin\alpha }{\cos\alpha }

=> \tan\alpha = R.H.S.

∴ L.H.S. = R.H.S. (Proved)

3 0
3 years ago
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