The function f(t) = 20 sin (pi over 5t) + 12 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? a. maximum: 20°; minimum: 8°; period: 12 hours b. maximum: 32°; minimum: −8°; period: 10 hours c. maximum: 20°; minimum: 12°; period: pi over 5 hours d. maximum: 32°; minimum: 8°; period: pi over 5 hours

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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.