hollowayt1971 hollowayt1971
  • 12-11-2018
  • Mathematics
contestada

Simplify the expression 125 − 5x2 as much as possible after substituting 5 sin(θ) for x. (Assume 0° < θ < 90°.)

Respuesta :

tramserran
tramserran tramserran
  • 12-11-2018

125 - 5x² = 0  when x = 5 sin θ

⇒ 125 - 5(5 sinθ)²

⇒ 125 - 5(25 sin²θ)

⇒ 125 - 125 sin²θ

⇒ 125(1 - sin²θ)

⇒ 125(1 - sinθ)(1 + sinθ)          This is simplified

Solving for θ:

⇒ (1 - sinθ)(1 + sinθ) = 0          

⇒ (1 - sinθ) = 0        (1 + sinθ) = 0

⇒    sinθ = 0               sinθ = -1

        θ = 0°                  θ = 180°

Since neither value satisifies 0° < θ < 90°  there is no solution


Answer Link

Otras preguntas

Is Mr.Terupt falls again a movie????
Which inequality is true when the value of R is 18? I'ma shower the answers i can choose in the pi
Label the process in the carbon cycle
2.4.2 Test (CST): Savings and InvestingQuestion 2 of 20 Which aspect of investing should Taylor not focus on if she wants to invest ethically? A. The company's
Solve each of the following equations. Show its solution set on a number line. Check your answers. |2(x-1)|=11
Work out the area of this semicircle. Take a to be 3. 142 and write down all of the digits given by your calculator. 11 cm
1. How has the Exxon Valdez oil spill impacted the environment?
why are nepalese soliders liked all over the world?​
What are the main ideas of this poster? Check all that apply. Women are encouraged to pursue work outside of the home during the war. Women can select jobs tha
solve simultaneously for x and y if: x(x-3)+y(3-x)= 0​