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Evgesh-ka [11]
3 years ago
13

What is the length of BC in the right triangle below

Mathematics
2 answers:
alex41 [277]3 years ago
8 0
The answer would be 15 units
Anna [14]3 years ago
6 0

Answer:

<h2><em>1</em><em>5</em><em> </em><em>units</em></h2>

<em>The </em><em>length </em><em>of </em><em>BC </em><em>is </em><em>1</em><em>5</em><em> </em><em>units.</em>

<em>Solution,</em>

<em>Hypotenuse(</em><em>h)</em><em>=</em><em>?</em>

<em>perpendicular(</em><em>p)</em><em>=</em><em>1</em><em>2</em>

<em>base(</em><em>b)</em><em>=</em><em>9</em>

<em>Using </em><em>Pythagoras</em><em> </em><em>theorem</em><em>,</em>

<em>{h}^{2}  =  {p}^{2}  +  {b}^{2}  \\ or \:  {h}^{2}  =  {12}^{2}  +  {9}^{2}  \\ or \:  {h}^{2}  = 12  \times 12 + 9  \times 9 \\ or \:  {h}^{2}  = 144 + 81 \\ or \:  {h}^{2}  = 225 \\ or \: h =  \sqrt{225}  \\ or \: h =  \sqrt{ {15}^{2} }  \\ h = 15</em>

<em>hope </em><em>this </em><em>helps.</em><em>.</em><em>.</em>

<em>Good </em><em>luck</em><em> on</em><em> your</em><em> assignment</em><em>.</em><em>.</em><em>.</em><em>.</em>

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Natasha2012 [34]

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Now , as the circle passes through <em>(2,9)</em> so it must satisfy the above equation after putting the values of <em>h</em> and <em>k</em> respectively

{:\implies \quad \sf \{2-(-1)\}^{2}+(9-5)^{2}=r^{2}}

{:\implies \quad \sf (3)^{2}+(4)^{2}=r^{2}}

{:\implies \quad \sf 9+16=r^{2}}

After raising ½ power to both sides , we will get <em>r = +5 , -5</em> , but as radius can never be -<em>ve</em> . So <em>r = +</em><em>5</em><em> </em>

Now , putting values in our standard equation ;

{:\implies \quad \sf \{x-(-1)\}^{2}+(y-5)^{2}=(5)^{2}}

{:\implies \quad \bf \therefore \quad \underline{\underline{(x+1)^{2}+(y-5)^{2}=25}}}

<em>This is the required equation of </em><em>Circle</em>

Refer to the attachment as well !

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2 years ago
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Mademuasel [1]

Answer:

6

Step-by-step explanation:

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3 years ago
Simplify the expression: (3 − 4i) + (7 − 6i).
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<span>216,000,000
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</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
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Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000

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