Please help out would really appreciate it

Step-by-step explanation:

1. Apply the Pythagoras theorem to determine the value of x, we have;

= +

= +

   = 289

x =

x = 17

2. Trigonometric ratios of <D.

i. Sin <D =

              =  

ii. Cos <D =

                =

iii. Tan <D =

                 =

3. Trigonometric ratios of <F.

i. Sin <F =

             =

ii. Cos <F =

              =  

iii. Tan <F =

               =

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !