Triangle D E F is shown. Angle F D E is a right angle. The length of D E is 40, the length of D F is 9, and the length of hypotenuse F E is 41. Given right triangle DEF, what is the value of tan(F)? StartFraction 9 Over 41 EndFraction StartFraction 40 Over 41 EndFraction StartFraction 40 Over 9 EndFraction StartFraction 41 Over 9 EndFraction

The correct option is (3) 40/9.

Step-by-step explanation:

Consider the right angled triangle attached below.

The angle FDE is the right angle.

Using the trigonometric identities for right angled triangles compute the tangent of the measure of angle DFE as follows:

tan (DFE) = DE/DF

                = 40/9

Thus, the correct option is (3) 40/9.

connie < felicia < stew

step-by-step explanation:

stew:

we need to find the slope

m = (y2-y1)/ (x2-x1)

    = (2650-795)/(10-3)

    = 1855/7

265 words per minute

connie:

we need to find the slope

m = (y2-y1)/ (x2-x1)

we have two points (0,0) and (4,800)

m = (800-0)/(4-0)

  m = 800/4

    200 words per minute

felicia:

260 words per minute

200< 260 < 265

connie < felicia < stew

36

step-by-step explanation: