The function f(t) = 25 sin (pi over 2t) + 10 models the temperature of a periodic chemical reaction where t represents time in hours. what are the maximum and minimum temperatures of the reaction, and how long does the entire cycle take? (5 points) a. maximum: 25°; minimum: 10°; period: pi over 2 hours b. maximum: 35°; minimum: 35°; period: 8 hours c. maximum: 100°; minimum: −15°; period: pi over 2 hours d. maximum: 35°; minimum: −15°; period: 4 hours

The correct answer is: Option: D

D. Maximum: 35°   ;  minimum: −15°  ; Period: 4 hours

Step-by-step explanation:

We are given a function f(t) as:

We know that the maximum value of the function is obtained when the sine function is maximum.

i.e. when sine takes the value=1

and the minimum value of the function is obtained when the sine function is minimum.

i.e. when sine takes the value= -1

Hence, the minimum value of the function is:

-25+10= -15

and the maximum value of the function is:

25+10=35

Also the period of the function of the type:

is:

Hence, here we have: b=π/2

Hence, period is:

         Hence, option: D is the correct answer.

answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° =

but bc = 20 feet.

⇒ tan 55 ° =  

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

greater than one

step-by-step explanation: