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θ = 76°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°, then

sin14° = cos(90 - 14)° = cos76°

That is θ = 76°

in radians o= 0.13716675

Step-by-step explanation:

cos(0)=0.9906074

O= arccos(0.9906074)

O=0.13716675

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is