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3 years ago

What’s the answer ????

Mathematics

2 answers:

tangare [24]3 years ago

8 0

4xy^3+8x^2y^5/2xy^2 = 2y+4xy^3
thus value of a = 0
b = 1
c=1
d = 3

sukhopar [10]3 years ago

7 0

0.

The x on the bottom will cancel out the x on the top here.

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Solve this identity, where the angles involved are acute angles.

Bas_tet [7]

We have proven that the trigonometric identity [(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] equals 1 + (secθ * cosec θ)

<h3>How to solve Trigonometric Identities?</h3>

We want to prove the trigonometric identity;

[(tan θ)/(1 - cot θ)] + [(cot θ)/(1 - tan θ)] = 1 + sec θ

The left hand side can be expressed as;

[(tan θ)/(1 - (1/tan θ)] + [(1/tan θ)/(1 - tan θ)]

⇒ [tan²θ/(tanθ - 1)] - [1/(tan θ(tanθ - 1)]

Taking the LCM and multiplying gives;

(tan³θ - 1)/(tanθ(tanθ - 1))

This can also be expressed as;

(tan³θ - 1³)/(tanθ(tanθ - 1))

By expansion of algebra this gives;

[(tanθ - 1)(tan²θ + tanθ.1 + 1²)]/[tanθ(tanθ(tanθ - 1))]

Solving Further gives;

(sec²θ + tanθ)/tanθ

⇒ sec²θ * cotθ + 1

⇒ (1/cos²θ * cos θ/sin θ) + 1

⇒ (1/cos θ * 1/sin θ) + 1

⇒ 1 + (secθ * cosec θ)

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2 years ago

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Steven has $150. John has J dollars. Steven has 30 less than 2 times the amount John has. How much does John have?

Sedaia [141]

Answer:

J = 90

John has 90 dollars.

Step-by-step explanation:

We need to find how much money John has. To find how much J equals we need to break it down.

We already know that Steven has 150 dollars. We also know that he has 30 less than two times the amount John has.

Steven has 30 less than two times the amount John has.

So 150 + 30 = 180

180 is two times the amount John has.

Because 180 is two times the amount John has we need to divide by two.

180 ÷ 2 = 90.

J = 90. Therefore John has 90 dollars.

This question was tricky! I hope I helped a little! Have a great day!!

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2 years ago

A student wants to check six websites. Four of the websites are social and two are school-related. After checking just two sites

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The approximate probability that she checked a social website first, then a school-related website is 0.267.

First step is to calculate the Total number of websites

Total number of websites=Number of school websites+Number of social websites

Total number of websites=2+4

Total number of websites=6

Second step

Probability of checking the social website first

Probability of checking social website=Number of social websites/Total number of websites

Probability of checking social website= 4/6

Third step

Since one social website is checked which means that she is left with 3 social website and 2 school websites

Total number websites=2+3

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Forth step

Probability of checking social website=Number of school websites/Total number websites

Probability of checking social website=2/5

Fifth step

Probability= 4/6 x 2/5 = 0.2666

Probability=0.267(Approximately)

Inconclusion the approximate probability that she checked a social website first, then a school-related website is 0.267.

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The correct answer would be 13.2375.

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Answer:

Step-by-step explanation:

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3 years ago

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