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3 years ago

How do I establish this identity??

Mathematics

1 answer:

Aloiza [94]3 years ago

8 0

$\frac{cosec\theta+cotan\theta} {sec\theta+tan\theta}=\frac{cosec\theta+cotan\theta} {sec\theta+tan\theta}\times\frac{cosec\theta-cotan\theta}{cosec\theta-cotan\theta}\times\frac{sec\theta-tan\theta} {sec\theta-tan\theta}$

And use that,

$\sec^2\theta-\tan^2\theta=1$

$cosec^2\theta-cotan^2\theta=1$

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Two of your friends go bowling. One friend rents a pair of bowling shoes for $3 and bowls 3 games. The other friend brings his o

Nesterboy [21]

Answer: The cost of each game is $2.50

Step-by-step explanation:

Let's find the equations for each friend:

Friend 1:

Pays $3 for the shoes, and plays 3 games, then if X is the cost of each game, Friend 1 pays a total of:

$3 + 3*X

Friend 2:

This friend buys a soda for $0.50, and he plays 4 games, remember that the cost of each game was X. then this friend pays:

$0.50 + 4*X

And we know that both friends pay the exact same amount, then we can write:

$3 + 3*X = $0.50 + 4*X

And solve this for X.

We need to isolate X, then we can move all the terms with X to the right, and all the terms without X to the left:

$3 - $0.50 = 4*X - 3*X

$2.50 = (4 - 3)*X = X

This means the cost of each game is $2.50

4 0

3 years ago

Write an equation that represents"Four less than the difference of half a number and 3 is 20 ."Use X for the variable.

Alex73 [517]

Answer:

{(1/2)x-3}-4=20

That is your answer.

8 0

3 years ago

A ferry needs to transport 2,232 people across the river. The ferry can take 31 people on each trip. How many trips will the fer

navik [9.2K]

Answer:

72 trips

Step-by-step explanation:

<em>Hey there!</em>

Well to find the amount of trips the ferry will need to take we'll do,

2232 ÷ 31 = 72

72 trips

<em>Hope this helps :)</em>

6 0

4 years ago

Read 2 more answers

What is –9. 2(8x – 4) 0. 7(2 6. 3x) simplified? –69. 19x – 32. 39 –69. 19x 38. 2 –72. 2x 41. 21 75x – 338. 2.

trasher [3.6K]

The simplified form of the equation is $\rm -69.19x+38.2$ .

<h2>Given that</h2>

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>We have to determine</h3>

The simplified form of the equation;

<h3>According to the question</h3>

To determine the simplified form of the equation following all the steps given below.

Equation; $\rm -9.2(8x - 4) + 0.7(2 + 6.3x)$

<h3>To simplify the equation multiple the terms and solve.</h3>

Then,

The simplified form of the equation is,

$\rm =-9.2(8x - 4) + 0.7(2 + 6.3x)\\
\\
= (-9.2) (8x)- (-9.2)(4) + (0.7)(2) + (0.7) (6.3x)\\
\\
=-73.6x -(-36.8) +(1.4)+(4.41x)\\
\\
= -73.6x+36.8+1.4+4.41x\\
\\
=-69.19x+38.2$

Hence, The simplified form of the equation is $\rm -69.19x+38.2$ .

To know more about Equation click the link given below.

brainly.com/question/26252222

3 0

2 years ago

A group of 15 people are going to run a race. The top 8 will advance to the finals. Determine if the situation is a permutation

LUCKY_DIMON [66]

For the given situation we have a total of 259,459,200 permutations.

<h3>How many permutations are?</h3>

First, how we know that it is a permutation?

Because the order matters, we aren't only selecting 8 out of the 15 people, but these 8 selected also have an order (is not the same thing to finish the race first than fourth, for example).

Then we need to find the number of permutations, to do it, we need to find the numbers of options for each of the 8 positions.

For the first position there are 15 options.
For the second position ther are 14 options (one runner already finished).
For the third position there are 13 options.
And so on.

Then the total number of permutations (product between the numbers of options) is:

P = 15*14*13*12*11*10*9*8 = 259,459,200

If you want to learn more about permutations:

brainly.com/question/11732255

#SPJ1

8 0

3 years ago