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Lapatulllka [165]
3 years ago
15

Help pleaseeeeeeeeeeseeeeeeeeeeww

Mathematics
2 answers:
Sedbober [7]3 years ago
7 0

Answer:

26

Step-by-step explanation:

The interior angles of triangles always add up to 180. That means that you can just add 64 to 90, which equals 154. Then subtract 154 from 180, which then equals 26.

Hope that this helps!

Tema [17]3 years ago
6 0

Answer:

26

Step-by-step explanation:

Given Angles=90° and 64°

We know that in a triangle

\boxed{\sf Sum\:of\:angles=180°}

\rm \rightharpoonup \: 90 + 64 + x = 180 \\  \rm \rightharpoonup \: 154 + x = 180 \\  \rm \rightharpoonup \: x = 180 - 154 \\  \rm \rightharpoonup \: x = 26

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h² + 14h + 7² = -31 + 7²

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(h + 7)(h + 7) = 18

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Subtract 7 from both sides.

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h = -7 + 3√2 → -2.7573 → -2.76

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If you're using the app, try seeing this answer through your browser:  brainly.com/question/3166243

——————————

Solve the trigonometric equation:

     \mathsf{2\,cos^2\,x-cos\,x=1}\\\\ \mathsf{2\,cos^2\,x-cos\,x-1=0}


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     \mathsf{cos\,x=t\qquad (-1\le t\le 1)}

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     \mathsf{2t^2-t-1=0}


Rewrite conveniently  – t  as  + t – 2t,  and then factor the left-hand side by grouping:

      \mathsf{2t^2+t-2t-1=0}\\\\ \mathsf{t\cdot (2t+1)-1\cdot (2t+1)=0}


Factor out  2t + 1:

     \mathsf{(2t+1)\cdot (t-1)=0}\\\\ \begin{array}{rcl} \mathsf{2t+1=0}&~\textsf{ or }~&\mathsf{t-1=0}\\\\ \mathsf{2t=1}&~\textsf{ or }~&\mathsf{t=1}\\\\ \mathsf{t=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{t=1} \end{array}


Substitute back for  t = cos x:

     \begin{array}{rcl}\mathsf{cos\,x=\dfrac{\,1\,}{2}}&~\textsf{ or }~&\mathsf{cos\,x=1}\\\\ \mathsf{cos\,x=cos\,60^\circ}&~\textsf{ or }~&\mathsf{cos\,x=cos\,0} \end{array}


Therefore,

     \begin{array}{rcl} \mathsf{x=\pm\,60^\circ+k\cdot 360^\circ}&~\textsf{ or }~&\mathsf{cos\,x=0+k\cdot 360^\circ} \end{array}

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Solution set:   

\mathsf{S=\left\{x\in\mathbb{R}:~~x=-\,60^\circ+k\cdot 360^\circ~~or~~x=60^\circ+k\cdot 360^\circ~~or~~x=k\cdot 360^\circ,~~k\in\mathbb{Z}\right\}}


I hope this helps. =)

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