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3 years ago

Verify seca(1-sina)(seca+tana)=1

Mathematics

2 answers:

Daniel [21]3 years ago

7 0

That is an interesting question
Here is how to reach it....

Refer to the pic I attached
.

I hope that helps!

beks73 [17]3 years ago

5 0

Seca(1-sina)(seca+tana)=1
Left hand side
=(1-sina) (seca +tana) / cosa
=seca +tana - sinaseca - sinatan / cosa
=seca + tana -tana -(sin^2a/cosa) / cosa
=(1/cosa - sin^2a/cosa) / cosa
= (1-sin^2a / cosa) / cosa
= (1-sin^2a)/ (cos^2a)
=1 (verified)

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The mean of five numbers is 8. If one of the five numbers is removed, the mean becomes 9. What is the value of the number that w

mestny [16]

Using the mean concept, it is found that the value of the number that was removed was of 4.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

The mean of five numbers is 8, hence, the sum of the numbers is given by:

S = 5 x 8 = 40.

If one of the five numbers is removed, the mean becomes 9, hence, the sum of the four numbers is given by:

S = 4 x 9 = 36.

The difference is:

40 - 36 = 4.

Hence, the value of the number that was removed was of 4.

More can be learned about the mean concept at brainly.com/question/25122507

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2 years ago

I will name you brainliest!

liq [111]

Answer:

Step-by-step explanation:

a specific shade of red nail polish requires 7 parts of red to 2 parts of yellow. A mixture contains 35 quarts of red and 8 quarts of yellow.

How can you fix the mixture to make the correct shade of red?

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The red:yellow ratio is 7:2, we can write the mixture as 7%2F9 or 77.8% red

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The existing mixture of 35:8 is a 43 quart mixture and can be written as: 35%2F43 or 81.4% red

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we need to add yellow to reduce the per cent of red

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Let y = amt of yellow required to do this

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7%2F9*(y+43) = 35

Multiply both sides by 9

7(y+43) = 9 * 35

7y + 301 = 315

7y = 315 - 301

7y = 14

y = 14/7

y = 2 quarts of yellow to be added, for total mixture of 45 quarts

;

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Check this, it still contains 35 quarts of red but the percentage has changed

35%2F45 = 77.8% red which is what we want, a ratio of 7:2

here you go i hope it helps

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