Find the measure of arc CD in p​

9514 1404 393

  57°

Step-by-step explanation:

TD is a diameter, so arc TCD is 180°. Then arc CD is ...

  CD = arc TCD -arc TC

  CD = 180° -123°

  arc CD = 57°

Find the measure of arc CD in P.

Because Arc TC and Arc CD comprise the Arc TCD,

⇒ Arc TC + Arc CD = Arc TCD

Substituting the values given, We get,

⇒ 123° + Arc CD = 180° ( Reason :- Arc TCD is the diameter of circle )

Now, Transposing 123° to Right Hand Side, We get,

⇒ Arc CD = 180° - 123°

⇒ Arc CD = 57°

∴ Arc CD = 57°

Arc CD measures 57°

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204