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stiks02 [169]
3 years ago
15

9. Find the length of the arc shown in brown. Leave your answer in terms of 2 (1 point)

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
3 0

The length of the arc is 4π.

<u>Step-by-step explanation</u>:

Given,

  • Diameter = 24 ft
  • radius, r = diameter/2
  • r = 24/2 = 12 ft
  • central angle, ∅ = 60°

Arc length = ∅/360° (2πr)

⇒ 60°/360° (2π\times12)

⇒ 24π/6

⇒ 4π

∴ The length of the arc is 4π.

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Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
2 years ago
What is mean BIJUS ?​
sergeinik [125]

Answer:

abbreviation, shorthand or slang term: BIJS.

( I hope this was helpful) >;D

8 0
3 years ago
Find the area of each sector. Use exact answers
BigorU [14]

Answer:

B) 54π in²

Step-by-step explanation:

area of full circle = πr² = 81π in²

area of 4π/3 segment = (81)(4π/3)/2π = 54π in²

6 0
3 years ago
What is the definition of marginal​ utility? A. The average utility from consuming a good or service multiplied by the number of
Ilya [14]

Answer:  Option 'E' is correct.

Step-by-step explanation:

Marginal utility is the addition utility derived from each successive unit of a particular good.

so, marginal utility is the change in utility from consuming an addition unit of a good or service.

Mathematically, it is expressed as

MU=\dfrac{\Delta TU}{\Delta Q}

Hence, Option 'E' is correct.

4 0
3 years ago
Numbers that come one after the other are called consecutive numbers.
KonstantinChe [14]

Answer:

A

Step-by-step explanation:

Here, we want to get the number that will be in the units place

Six consecutive numbers from 33 are;

33 , 34 , 35 , 36 , 37 , 38 ,

Product of 5 and any of the even numbers will yield 0

That means the number on the unit place is 0

3 0
3 years ago
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