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jonny [76]
3 years ago
13

Find 4 consecutive even integers whose sum is 244

Mathematics
1 answer:
schepotkina [342]3 years ago
5 0
X, x+2, x+4, x+6 - four consecutive even integers

x+x+2+x+4+x+6=244 \\
4x+12=244 \\
4x=244-12 \\
4x=232 \\
x=\frac{232}{4} \\
x=58 \Leftarrow \hbox{the first integer} \\ \\
\hbox{the second integer: } x+2=58+2=60 \\ \\
\hbox{the third integer: } x+4=58+4=62 \\ \\
\hbox{the fourth integer: } x+6=58+6=64

The integers are 58, 60, 62, 64.
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What is the arc length of an arc with radius 10 in and central angle 60 degrees ? Show your work.
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Answer:

\huge \boxed{ \boxed{ \red{{s \approx \: 10.47}}}}

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • geometry
  • PEMDAS
<h3>tips and formulas:</h3>
  • s =  \frac{\pi {r} \theta}{180}
<h3>given:</h3>
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<h3>let's solve:</h3>
  1. \sf sustitute \: the \: value s \: of \:  \theta \: and \: r :  \\  =\frac{\pi \times 10 \times 60}{180}
  2. \sf rediuce \: 60 :  \\  =\frac{\pi \times 10 \times  \cancel{60}  \: ^{1} }{ \cancel{180}  \:  \:^{3} }  \\  =\frac{\pi \times 10}{3}
  3. \sf use \: 3.14 \: for \: \pi :  \\ = \frac{3.14 \times 10}{3}
  4. \sf simplify \: multipication :  \\  =  \frac{31.4}{3}  \\  \approx \: 10.47
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Answer:

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Step-by-step explanation:

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