Answer:
45.50° F
Step-by-step explanation:
As per Newton's law,
When T(t) is the final temperature
= Temperature of surrounding
= Initial temperature
t =duration of cooling
k = constant
Now take natural log on both the sides
4.6347 - 5.0434 = -5k
k = 0.0817
=
= 155 (02935)
= 45.49 ≈ 45.50° F
Answer:
As the number is a prime number. Therefore, option 'c' is true.
Step-by-step explanation:
Let us take the number 7 and divide it by 4
We know that
as
so the remainder is 3. ∵
As 7 is a prime number, and when we divide the prime number 7 by 4, we get the remainder 3.
Thus, the number is a prime number. Therefore, option 'c' is true.
Imagine a right triangle where a and b are the legs and c is the hypothenuse.
Pitagora: a²+b²=c²
Divide by c
(a/c)²+(b/c)²=1
But a/c=sin(B) and b/c=cos(B)
Thus sin² + cos² = 1