Can the law of sines be used to solve the triangle
shown? Explain.
40
45°
30

Step-by-step explanation:

If BD_|_AC

in trg BDA ,sin 45=BD/40=V2/2

BD*2=40V2

BD=40V2/2=20V2  and AD=BD

so CD=30-AD=30-20V2

in trg BCD,  BC^2=BD^2+CD^2

                     BC^2=(20V2)^2+(30-20V2)^2=

                     (20V2)^2+30^2-2*30*20V2+(20V2)^2=

                     400*2+900-1200V2+400*2=

                     800+900-1200V2+800=

                      2700-1200V2

so  BC=V100(27-12V2)=10V(27-12V2

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.