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Otrada [13]
3 years ago
10

If the third of 7 consecutive numbers is 12,what is their sum?

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

Step-by-step explanation:

the third of 7 consecutive numbers is 12.

so, this looks like

..., ..., 12, ..., ..., ..., ...

that means the numbers have to be

10, 11, 12, 13, 14, 15, 16

the sum is then

16+10 + 15+11 + 14+12 + 13 = 3×26 + 13 = 91

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Step-by-step explanation:

<em>Hello</em><em>!</em><em>!</em><em>!</em>

<em>Given</em><em>, </em><em> </em><em>VXW</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>Right angled triangle</em><em> </em><em>where</em><em> </em><em>WV</em><em> </em><em>=</em><em>4</em><em> </em><em>and</em><em> </em><em>XV</em><em> </em><em>=</em><em>5</em><em>.</em>

<em>now</em><em>,</em><em> </em><em>b</em><em>y</em><em> </em><em>taking</em><em> </em><em>reference angle</em><em> </em><em>as angle </em><em>W</em><em>,</em><em> </em><em>and</em><em> </em><em>using</em><em> </em><em>tangent</em><em> </em><em>we</em><em> </em><em>get</em><em>;</em>

<em>p</em><em>=</em><em>5</em>

<em>b</em><em>=</em><em>4</em>

<em>again</em><em>, </em>

<em>tan</em><em> </em><em>thita</em><em> </em><em>=</em><em>p</em><em>/</em><em>b</em>

<em>tan</em><em> </em><em>thita</em><em> </em><em>=</em><em> </em><em>5</em><em>/</em><em>4</em>

<em>so</em><em>,</em><em> </em><em>tan</em><em> </em><em>thita</em><em> </em><em>=</em><em>1</em><em>.</em><em>2</em><em>5</em><em>.</em>

<em>now</em><em>,</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>angle</em><em> </em><em>W</em><em>,</em><em> </em><em>we</em><em> </em><em>should</em><em> </em><em>d</em><em>o</em><em> </em><em>tan</em><em> </em><em>thita</em><em> </em><em>inverse</em><em>;</em>

<em>or</em><em>,</em><em> </em><em>(</em><em>tan</em><em> </em><em>thita</em><em>)</em><em>-1</em><em>=</em><em> </em><em>tan</em><em> </em><em>thita</em><em>-1</em><em>(</em><em>1</em><em>.</em><em>2</em><em>5</em><em>)</em>

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<em>Now</em><em>,</em><em> </em><em>by</em><em> </em><em>rounding</em><em> </em><em>off</em><em> </em><em>we</em><em> </em><em>get</em><em>,</em>

<em>tan</em><em> </em><em>thita</em><em> </em><em>(</em><em>angle</em><em> </em><em>W</em><em> </em><em>)</em><em>=</em><em> </em><em>5</em><em>1</em><em>°</em><em>.</em>

<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
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