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MrMuchimi
3 years ago
12

The diameter of a circular table top is 2.6 metres. What is it’s circumference to the nearest metre?

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0
Hoi!

To calculate the circumference, we use the formula C =  \pi d

Plug in the values.

C =  \pi  * 2.6
8.2 = \pi * 2.6

Your answer to the nearest meter is 8.
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In a particular​ year, a total of 40 comma 285 students studied in two of the most popular host countries when traveling abroad.
klasskru [66]

Answer: 2nd most popular country =  15895 students

most popular country = 24390 students

Step-by-step explanation:

Total students: 40,285

2nd most popular country = x students

most popular country = x + 8,495 students

x + x + 8495 = 40285

2x + 8495 = 40285

2x = 40285 - 8495

2x = 31790

x = 15895

2nd most popular country = x = 15895 students

most popular country = x + 8,495 = 15895 + 8,495 = 24390 students

6 0
3 years ago
What is number 61 and a step by step explaination please?
astra-53 [7]

1/3 ln(<em>x</em>) + ln(2) - ln(3) = 3

Recall that m\log_b(n)=\log_b(n^m), so

ln(<em>x</em> ¹ʹ³) + ln(2) - ln(3) = 3

Condense the left side by using sum and difference properties of logarithms:

\log_b(m)+\log_b(n)=\log_b(mn)

\log_b(m)-\log_b(n)=\log_b\left(\dfrac mn\right)

Then

ln(2/3 <em>x</em> ¹ʹ³) = 3

Take the exponential of both sides; that is, write both sides as powers of the constant <em>e</em>. (I'm using exp(<em>x</em>) = <em>e</em> ˣ so I can write it all in one line.)

exp(ln(2/3 <em>x</em> ¹ʹ³)) = exp(3)

Now exp(ln(<em>x</em>)) = <em>x </em>for all <em>x</em>, so this simplifies to

2/3 <em>x</em> ¹ʹ³ = exp(3)

Now solve for <em>x</em>. Multiply both sides by 3/2 :

3/2 × 2/3 <em>x</em> ¹ʹ³ = 3/2 exp(3)

<em>x</em> ¹ʹ³ = 3/2 exp(3)

Raise both sides to the power of 3:

(<em>x</em> ¹ʹ³)³ = (3/2 exp(3))³

<em>x</em> = 3³/2³ exp(3×3)

<em>x</em> = 27/8 exp(9)

which is the same as

<em>x</em> = 27/8 <em>e</em> ⁹

3 0
3 years ago
The figure shows a rectangle ABCD.
finlep [7]

Answer:

Answer:

The answer is 39°

Step-by-step explanation:

BAD = 90°

ADE = 51°

AED = 180° - BAD + ADE = 180° - 90° + 51°

= 39°

39° is the Final answer

#AnswerforTrees

3 0
3 years ago
Read 2 more answers
Trigonometry please help! work need to be shown
padilas [110]

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

7 0
3 years ago
Work out the size of angle a
satela [25.4K]

Answer:thre

Step-by-step explanation:

8 0
3 years ago
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