Triangle D E F is shown. Angle E F D is a right angle. The length of E F is 24 and the length of D F is 7. Which trigonometric ratios are correct for triangle DEF? Select three options. sin(D) = StartFraction 24 Over 25 EndFraction cos(E) = StartFraction 7 Over 25 EndFraction tan(D) = StartFraction 24 Over 7 EndFraction sin(E) = StartFraction 7 Over 25 EndFraction tan(D) = StartFraction 7 Over 24 EndFraction

The volume of a sphere is increased by 6%. calculate the corresponding percentage increased in it area.

Circle d circumscribes abc and abe. which statements about the triangles are true? statement i: the perpendicular bisectors of abc intersect at the same point as those of abe. statement ii: the distance from c to d is the same as the distance from d to e. statement iii: bisects cde. statement iv: the angle bisectors of abc intersect at the same point as those of abe. a. i only b. i and ii c. ii and iv d. i and iii e. iii and iv

Which of the following is the best first step in solving the equation below? 4+2㏒³x=17