Which of the following values best approximates the length of c in triangle abc where c = 90 degrees, b = 12, b = 15 degrees

In the given figure <C=90 ,<B= 15 degrees.We need to find side c.

The side adjacent to <B is known as adjacent side and the one opposite to it is opposite side .The side opposite to 90 degrees is hypotenuse.

In the figure b=12 is opposite side and c is the hypotenuse.

Sine of any angle is the ratio of opposite and hypotenuse.

SinB=

Cross multiplying we have c= 12 (sin15)

c=12(.2588) [ sin15=.2588]

c=46.37

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

answer: kljdcdhjbdlchjad oac apoich a

step-by-step explanation: