Please help this question. The temperature of a type of metal decreases from 100°C to T°C according to T = 100(0.9)*
after x second. Calculate
(a) the temperature of the metal after 5 seconds,
(b) the time taken, x, in seconds for the temperature of the metal to decrease from 100°C to
80°C.

a). 59.049°C

b). 2.1179 seconds

Step-by-step explanation:

Expression representing the final temperature after decrease in temperature of the metal from 100°C to T°C is,

T =

where x = duration of cooling

a). Temperature when x = 5 seconds

T = 100(0.9)⁵

  = 59.049

  ≈ 59.049°C

b). If the temperature of the metal decreases from 100°C to 80°C

Which means for T = 80°C we have to calculate the duration of cooling 'x' seconds

80 =

0.8 =

By taking log on both the sides

log(0.8) =log[]

-0.09691 = x[log(0.9)]

-0.09691 = -0.045757x

x =

x = 2.1179

x ≈ 2.1179 seconds

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

step-by-step explanation:

coldest temperature they recorded add me europa2433

europa2433