The temperature of a chemical reaction oscillates in the interval 44 °c to 50 °c. the temperature is at 47 °c at t = 0 and rises at the start of a four-minute cycle. which function represents the relationship between time, t, and temperature, t?

T= 47 + 3 * sin (t /2)

Step-by-step explanation:

To make oscillates function you need to use sin/cos function, based on if the function increase or decreases first. This function rises at the start so it uses sin function. The function will look like this .

T= sin (t 2)

The temperature starts at 47. Then the function changes into

T= 47 + sin (t 2)

The temperature peak at 50 and the lowest at 44. Basically it's 47 +/- 3. It also has a 4-minute cycle, so the frequency is 1/4. Then the final function will be:

T= 47 + 3 * sin (t 2 /4)

T= 47 + 3 * sin (t /2)

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2