Janae has a soap bottle that has 474 mL of liquid soap. Each push of the pump uses 8 mL of soap. There needs to be at least 50 mL of soap in the bottle for the pump to work. Write and solve an inequality that represents the number of pushes of the pump possible before the pump stops working. Write a sentence to represent the solution set in the context of the problem.

add 5 subtract 1

step-by-step explanation:

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.