Answer:
Option(1)
Step-by-step explanation:
By applying secant rule in the given right triangle,
secθ =
From the picture attached,
Opposite side of angle θ = 5 units
By applying Pythagoras theorem,
(Hypotenuse)² = (leg 1)² + (leg 2)²
= (10)² + 5²
= 125
Hypotenuse = √125
= 5√5
Now substitute these values in the expression of secθ,
secθ =
secθ = √5
Option (1) is the correct option.
Answer:
Step-by-step explanation:
The rate of change in the temperature T of coffee at time t is written as (remember derivatives are used to express rates of change, and in our case the rate of change of the temperature T). The difference between the temperature M of the air at time t, and the temperature T of the coffee at time t can be expressed as
Saying that the rate of change in the temperature T is proportional to the difference between M and T is just a way of saying that the rate of change in the temperature T is equal to the difference between M and T, multiplied by some constant k (whose value we don't know, but still that's what it means).
Therefore we get