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cricket20 [7]
2 years ago
14

Which letter is the correct answer and why

Mathematics
1 answer:
Julli [10]2 years ago
3 0

Answer:

<h2><em><u>Option</u></em><em><u> </u></em><em><u>C</u></em></h2>

Step-by-step explanation:

<em><u>Here</u></em><em><u>,</u></em>

<em>[</em><em>Taking</em><em> </em><em>'</em><em>A'</em><em> </em><em>=</em><em> </em><em>'</em><em>a'</em><em>]</em>

a \:  =  \: 4\pi {r}^{2}

<em><u>Then</u></em><em><u> </u></em><em><u>for</u></em><em><u> </u></em><em><u>'</u></em><em><u>r</u></em><em><u>'</u></em><em><u>,</u></em>

=  > 4\pi {r}^{2}  = a

=  >  {r}^{2}  =  \frac{a}{4\pi}

=  > r =   \sqrt{\frac{a}{4\pi} }

=  > r =  \frac{1}{2}\sqrt{  \frac{a}{\pi} }

<em><u>Hence</u></em><em><u>,</u></em>

<em><u>Option</u></em><em><u> </u></em><em><u>C</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>correct</u></em><em><u> </u></em><em><u>.</u></em>

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PLEASE HELP I HAVE NO IDEA HOW TO ANSWER THIS :(
dolphi86 [110]

The other 2 angles of given right angles are 61.93° and 28.072°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

Step-by-step explanation:

The given is,

                 Right angled triangle,

                 Side lengths are 8, 15, and 17  

Step:1

                The given triangle is right angle triangle by the converse of Pythagorean theorem, so the trigonometric ratio,

               Ref the attachment,

               For angle a,

                            ...................................................(1)

                 Where,  Opp - 8

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.470588

                                      (0.470588)

                                   a = 28.072°

                    For angle b,

                                  ...................................................(1)

                 Where,  Opp - 15

                                Hyp - 17

                 From equation (1),

                                      

                                      = 0.882352

                                      (0.882352)

                                   b = 61.93°

Step:2

          Check for solution for right angle triangle,

                        90 ° = Other 2 angles

                        90 ° = a + b

                        90 ° = 28.072° + 61.93°

                        90 ° = 90 °

Result:

          The other 2 angles of given right angles are 61.93° and 28.07°, if a triangle with side lengths 8, 15, and 17 is a right triangle by the converse of the Pythagorean Theorem.

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Hunter-Best [27]

Answer: -1

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