Could you prove this trignometry identity? It's
sin x cot x =cos x

Answers

Answer 1
Answer: Cotx can also be written as cosx/sinx. So sinx × cosx/sinx = cosx.
Answer 2
Answer:

Answer:

sinx ×cosx/sinx

sinx gets cancelled

cosx


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Express the set in roster form.

{x|x is a natural number multiple of 5}

Answers

\{x|x\in\mathbb{N}\ and\ multiple\ of\ 5\}=\{0;\ 5;\ 10;\ 15;\ 20;...\}=5k\ (k\in\mathbb{N})

The quotient of four and e

Answers

The expression of 4e, that has the coefficient is 4

What are the Quotients?

Quotients are the number that is obtained by dividing one number by another number.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

Dividend ÷ Divisor = Quotients

A coefficient is a number placed B4 another quantity for this case; that is the unknown(e).

The expression for the given situation is;

4e

Therefore , the coefficient is 4

Learn more about the quotient;

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Answer:

4e

A coefficient is a number placed b4 another quantity for this case that is the unknown(e).

Therefore the coefficient is 4

Step-by-step explanation:

Hope that this is helpful.

Have a great day.

What's an extraneous solution?

In your own words

Answers

Answer:

You get this solution while solving your problem but it still is not the correct answer to your question...

(I think)

A.) What is the exact surface area of the container with a radius of 9 in and a height of 36 in?

Answers

r = 9
h = 36
Pp = ?area of ​​a circle
l = ? surface of the wheel
Pb = lateral surface
Pc - total surface

Pp = πr² = 9²*π = 81π (unit²)
l = 2πr = 2*9*π = 18π (unit)
Pb = l*h = 18π * 36 = 648 π(unit²)
Pc = 2Pp + Pb = 2* 81π + 648π = 162π + 648π = 810π(unit²)

Answer total area equal to  810π (unit²)

it could be a cylinder

I will put the SA formula for btoh

SAcylinder=2pir^2+2hpir
2pir^2=2 bases
2hpir=around area

r=9
h=36
SA=2pi9^2+2*36pi*9
SA=2pi81+72pi9
SA=162pi+648pi
SA=810pi

aprox pi=3.141592

SA=2544.68952 in^2

Using the example above, the new high way will be a total of 54 miles long. Will the highway be finished in 8 months

Answers

The above problem is incomplete. I have read the whole problem.

Given:
54 miles long highway
5 3/5 miles constructed per month.

Will the highway be finished in 8 months?

5 3/5 ⇒ ((5*5)+3)/5 = 28/5

28/5 * 8/1 = 28*8 / 5*1 = 224/5 = 44.8 miles or 44 4/5 miles

No. The highway can not be finished in 8 months. Only 44.8 miles or 44 4/5 miles will be constructed by that time.

54 ÷ 28/5 = 54 * 5/28 = 54*5 / 28 = 270 / 28 = 9.64 months or 9 18/28 or 9 9/14 months must be spend to complete the highway.

What is the distance between the points (-1, 4) and (3, 1)

Answers

The distance between the points is 5