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KatRina [158]
2 years ago
6

The circumference of the ferris wheel at the county fair is 78.5 feet. what is the diameter in feet? Round to the nearest hundre

dth
Mathematics
1 answer:
-Dominant- [34]2 years ago
6 0
\bf \textit{circumference of a circle}\\\\
C=2\pi r\qquad 
\begin{cases}
diameter=d\\
r=radius=\frac{d}{2}\\
----------\\
C=78.5\\
\end{cases}
\\\\\\
 78.5=2\pi r\implies 78.5=2\pi \cdot \cfrac{d}{2}

solve for "d"
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Decimal Form:

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Mixed Number Form:

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Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

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Add the two expressions.<br><br> −2.4n−3 and −7.8n+2
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-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

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Which sequences are arithmetic? Check all that apply.
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Answer:

3)    18, 5.5, –7, –19.5, –32, …   sequence is in Arithmetic Progression.

5)     16, 32, 48, 64, 80         sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a   =  c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5)  = 10,   -5 - 5  = -10

and 10 ≠ -10.  So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96  = -48,   24 - 48  = -24

and -48 ≠ -24.  So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5    ,  -7 - 5.5 = -12.5  ..

and -12.5 is the common difference.  

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1)  =  - 2     -9 - (-3)  = -6

and -2 ≠ -6.  So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16    ,  48  - 32= 16  ..

and 16 is the common difference.  

So the sequence is in Arithmetic Progression.

6 0
2 years ago
Read 2 more answers
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