Given: △abc, ab=5 2 m∠a=45°, m∠c=30° find: bc and ac

BC = 5 m

AC = 3.66 m

Step-by-step explanation:

Using the sin rule,

AB×sin C = BC×Sin A

5√2 × Sin 30 =  a sin 45

3.5355 = BC sin 45

BC = 3.5355/sin 45

    = 5 m

AC × sin 105 = 5√2 × sin 30

AC = 3.5355/sin 105

      = 3.66 m

b

step-by-step explanation:

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1