CE is tangent to this circle, CD is a radius and ECB=48 what is BAC​

48degrees

Step-by-step explanation:

From the circle geometry shown, traingle BDC is an isosceles triangle which shows means that their base angels are the same. Hence;

<B = <C

<CBD + <BCD + <D = 180

<BCD + <BCD + <D =180

2<BCD + <BDC = 180

Get <BCD;

<BCD+ <ECB = 90

<BCD + 48 = 90

<BCD = 90 - 48

<BCD = 42degrees

Get <BDC

2<BCD + <BDC = 180

2(42)+ <BDC = 180

84 + <BDC = 180

<BDC = 180 - 84

<BDC = 96

Since angle at the centre is twice that at the circumference, then;

<BAC = 1/2(<BDC )

<BAC = 96/2

<BAC = 48degrees

The number of books produced at which the costs from the two methods be the same is 4668 books

Step-by-step explanation:

Here, we have

For the first production method

Fixed cost = $65,054 and variable cost per book = $8.25

For the second production method

Fixed cost = $12,539 and variable cost per book = $19.50

Therefore, let the number of books at which the to methods cost the same be M, we then have

$65,054 + $8.25 × M =  $12,539 + $19.50× M

Which gives

$65,054 - $12,539 =  $19.50× M - $8.25 × M

$52515 = $11.25 × M

M = $52515/$11.25 = 4668 books.