jboy314

Sqrt(-27)sqrt(-17)=isqrt(3*9)i(sqrt17)=3i^2sqrt(3)sqrt(17)=-3sqrt(51)

This is already simplified.  However you may want it in another form.  When you have an exponent that is a fraction the numerator represents the power a base is raised to and the denominator represents a radical. 

as such, you can rewrite this as the cubed root of x^7

If you're looking for a decimal approximation then that is absolutely the right way.

The probablility distribution table would look like a table.  I'll do my best to make one below though please note that the lines are missing.  it should be noted that these probabilities have been simplified.  For example the probability for t=11 was 2/50 which reduces to 1/25

t                    11           12             13           14           15            16           17

P(X=t)           1/25      1/10          4/25         1/5         21/50        1/25         1/25    

C.  EF=2FN=2sqrt(523)=45.74

b. To find FNwe construct the radius from O to F and recall that its length is sqrt(884).  Then apply the pythagorean theorem to the new triangle

19^2+FN^2 =(sqrt(884))^2

361+FN^2=884

FN^2=523

FN=sqrt(523)

a. Construct a radius from C to O.  Since CD=44 and OM is a right angle to the chord it bisects the chord, ergo CM=22.  We can use the pythagorean theorem to find CO.

22^2+20^2=CO^2

CO=sqrt(884) which is about 29.7

You could certainly express it in coordinates.    For the x intercept we let y =0.  Therefore, since we found x=4 of -4 the coordinates are  (4,0) or (-4,0)

similarly for y  intercept (and i just realized I mistyped my first response, it should be -16) we have coordinates (0,-16)

If it is a tangent then angle B is a right angle.  The easy way to test is with the pythagorean theorem.

7.75^2+4^2=8.75^2

76.0625=76.5625

This means that Angle b is not a right angle so Segment AB is not a tangent (though it is extraordinarily close to being one.)

b.  Since we proved the triangles congruent in part A it follows that angle POB has a measure of 64.  POB is supplementary to angle BOD (they sum to 180 degrees) there fore the measure of BOD is 180-62=114 degrees