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2 years ago

5

There are 30 students in a class. Five of them are randomly selected to form the dance committee. How many different committees

can be formed?

2 answers:

ziro4ka [17]2 years ago

7 0

Answer: 6

Step-by-step explanation:

Sidana [21]2 years ago

6 0

Answer:

<h2>6 different committees</h2>

Step-by-step explanation:

30 students / 5 = 6

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Prove the trigonometric identity

Annette [7]

Answer:

Proved See below

Step-by-step explanation:

Man this one is a world of its own :D Just a quick question are you a fellow Add Math student in O levels i remember this question from back in the day :D Anyhow Lets get started

For this question we need to know the following identities:

$1+tan^{2}x=sec^2x\\\\1+cot^2x=cosec^2x\\\\sin^2x+cos^2x=1$

Lets solve the bottom most part first:

$1-\frac{1}{1-sec^2x} \\\\$

Take LCM

$1-\frac{1}{1-sec^2x} \\\\\frac{1-sec^2x-1}{1-sec^2x} \\\\\frac{-sec^2x}{1-sec^2x} \\\\\frac{-(1+tan^2x)}{-tan^2x}$

now break the LCM

$\frac{-1}{-tan^2x}+\frac{-tan^2x}{-tan^2x}\\\\\frac{1}{tan^2x}+1\\\\cot^2x+1$

because 1/tan = cot x

and furthermore,

$cot^2x+1\\cosec^2x$

now we solve the above part and replace the bottom most part that we solved with $cosec^2x$

$\frac{1}{1-\frac{1}{cosec^2x} } \\\\\frac{1}{1-sin^2x} \\\\\frac{1}{cos^2x}\\\\sec^2x$

Hence proved! :D

4 0

3 years ago

If you have 186 pencils, how many how many will each person get in a class that has 23 students?

Brut [27]

Answer:

8

Step-by-step explanation:

total number of pencils = 186

number of students = 23

number of pencils each student gets = number of pencils ÷ number of pencils

=186/23

=8.08

so each student gets 8 pencils

6 0

3 years ago

The sum of the digits of a two-digit number is 6. when the digits are reversed, the number decreased by 18. find the original nu

poizon [28]

<span>2x + x = 12
=> x =12/3 =4
so, original number is 84.</span>

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3 years ago

What is the value of x?

svlad2 [7]

Answer:

you need a d/protector to do this

Step-by-step explanation:

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3 years ago

Are all lines of symmetry also diagonals? explain.

Elanso [62]

No not all lines of symmetry are diagonals for example a kite, but most shapes have line of symmetry. sorry if i didnt give enough information buut hope it helps;)

6 0

3 years ago

Read 2 more answers