please help!! i am on the same one!!
Answer:
see the attachment
Step-by-step explanation:
• When two secants intersect a circle the measure of the angle between them is half the difference of the intercepted arcs. Tangent DH is a degenerate case of a secant in which both points of intersection are the same point (D). Thus ∠GHD is half the difference of arc GD and ED.
• We assume points B and C are on radii DA and EA, respectively. Hence arc DE has the same measure as ∠BAC, and ∠DGE has half that measure.
• Tangent DH will intersect radius DA at right angles. Hence ∠ADH = 90°.
• ∠DHE = ∠DHG, whose measure is given by the formula in the first answer choice. The formula in the 4th choice is different (and wrong).
• ∠DGE and ∠BFC both intercept arcs with the same measure. Neither is greater than the other: they are equal in measure.
• Inscribed triangle DGE cannot be a right triangle because none of its sides is a diameter of the circumcircle.
The probability being fixed at 1/3, let's find which event in rolling a 6 sided dye will generate a probability of 1/3.
A- 6 sided number cube: with one roll (INCORRECT), however with a 3 sided number cube, P(0ne roll) = 1/3 (CORRECT)
B- A roll of an even number : P(even number) =3/6 =1/2 (INCORRECT), and a roll of an odd number P(odd number) = 3/6 = 1/2 (INCORRECT)
C- A roll of a number less than 3 , P(less than 3) =2/6 =1/3 CORRECT), whereas :a roll greater than or equal to 3. INCORRECT
D. A roll of a number that is not divisible by 3, P(not divisible by 3) = 4/6 =2/3 (INCORRECT): P( number number that is divisible by 3) =2/6 1/3 CORRECT
When we divide the interval from 1 to 5 into 4 subintervals, each has a width of 1. Simpson's rule has us evaluate the integral as
... integral = (1/3)(f(1) +4f(2) +2f(3) +4f(4) +f(5)) = (1/3)(10 +4·25 +2·46 +4·73 +106)
... integral = (1/3)(600) = 200 . . . . . by Simpson's rule
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The integral evaluates to
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Simpson's rule uses a quadratic interpolation, so evaluates quadratics exactly.