The legs of a right triangle are lengths x and x square root 3. the cosine of the smallest angle of the triangle is

The cosine of the smallest angle of the triangle is

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In the right triangle ABC

Applying the Pythagoras Theorem

Find the length of the hypotenuse AB

substitute the values

In the right triangle ABC

The smallest angle is the angle opposite to the smallest side

therefore

the angle B is the smallest angle

Remember that

substitute

8y^50

step-by-step explanation:

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: