Triangle def contains right angle e. if angle d measures 50° and its opposite side measures 7.6 units, what is the measure of side de? round your answer to the nearest hundredth.

DE = 6.38 units

Step-by-step explanation:

Triangle DEF is a right angled triangle

Angle E = 90°

Angle D = 50°

This will be solved by sin, cos or tan formula.

Step 1: Find out opposite, hypotenuse and adjacent

Opposite: The side opposite to angle D ⇒ 7.6 units

Hypotenuse: The side opposite to angle E ⇒ ?

Adjacent: The side between angle D and angle E ⇒ DE

We need to find adjacent.

Step 2: Use tan formula

tan α = opposite/adjacent

tan (50°) = 7.6/adjacent

Adjacent = 6.377 ≅ 6.38 units

Therefore, the measure of the side DE is 6.38 units.

!!

answer: t=3

step-by-step explanation:

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.