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Serggg [28]
3 years ago
9

PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!

Mathematics
2 answers:
pychu [463]3 years ago
6 0

Answer:

6) 6\sqrt{2}

9) 40

10) \frac{5\sqrt{2} }{2}

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg*\sqrt{2}

9) Pythagorean Theorem

a^{2} +b^{2} =c^{2}

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

\sqrt{41^{2}-9^{2}  } which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by \sqrt{2} because we know that if 2 legs are equal, the hypotenuse is multiplied by \sqrt{2}. Multiply the numerator and denominator by \sqrt{2} because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so \sqrt{5^{2}+12^{2}  } which gives us 13

posledela3 years ago
4 0
<h2>QUESTION:- FIND THE VARIABLES </h2>

<h2>\huge\mathbb{\red A \pink{N}\purple{S} \blue{W} \orange{ER}}</h2>

<h2>6TH PART -> </h2>

<h3>GIVEN </h3>
  1. RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREM
  2. TWO SIDES ( BASE AND PERPENDICULAR) R EQUAL TO 6

<h3>SOLUTION-></h3>

{h}^{2}  =  {p}^{2}  +  {b}^{2}

{c}^{2}  =  {6}^{2}  +  {6}^{2}  \\  {c}^{2}  = 36 + 36 \\ c =  \sqrt{2( {6}^{2} )}  \\ c =  \sqrt{2}{\sqrt{ {6}^{{2}} } } \\ c = 6 \sqrt{2}  \:  \:  \: ans

<h2>9TH PART:- </h2>

<h3>GIVEN</h3>

  1. RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREM
  2. BASE = 9
  3. HYPOTENUSE= 41

SOLUTION->

{h}^{2}  =  {p}^{2}  +  {b}^{2}

{41}^{2}  =  {x}^{2}  +  {9}^{2}  \\ 1681 =  {x}^{2}  + 81 \\ 1681 - 81 =  {x}^{2}  \\ 1600 =  {x}^{2}  \\ x =  \sqrt{40 \times 40}  \\ x = 40 \:  \:  \: ans

<h2>10 TH PART:- </h2>

GIVEN

  1. RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREM
  2. TWO SIDES ( BASE AND PERPENDICULAR) R EQUAL TO S
  3. HYPOTENUSE= 5

<h3>SOLUTION-></h3>

{h}^{2}  =  {p}^{2}  +  {b}^{2}

{5}^{2}  =  {s}^{2} +   {s}^{2}  \\ 25 = 2 {s}^{2}  \\ 12.5 =  {s}^{2}  \\  \sqrt{12.5}  = s \\ 3.5 = s \:  \:  \: ans

<h2>11TH PART:- </h2>

<h3>GIVEN </h3>
  1. RIGHT ANGLE SO ITS A RIGHT ANGLED TRIANGLE SO WE CAN USE PYTHAGOUS THEOREM
  2. BASE = 5
  3. PERPENDICULAR= 12

<h3>SOLUTION -></h3>

{h}^{2}  =  {p}^{2}  +  {b}^{2}

{r}^{2}  =  {12}^{2}  +  {5}^{2}  \\  {r}^{2}  \\ 144 + 25 \\  {r}^{2}  = 169 \\ r =  \sqrt{13 \times 13}  \\ r = 13 \:  \:  \:  \: ans

HOPE IT HELPED

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \star \: DEVIL005 \:  \star

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