Find the GCF of 45 and 75 using the prime factorization. (You can leave your answers in the prime factorization form.)
2 answers:
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Answer: In degrees , The measure of
In radians , the measure of .
Step-by-step explanation:
We know that the formula for length of arc is given by :-
, where = Central angle subtended by arc.
r= radius of the circle.
As per given , we have
Radius of circle : r=7 m
Length of arc : l= 8 m
Substitute these values in the above formula , we get
Hence, the measure of .
To convert it into degrees we multiply it with
The measure of
Hence, the measure of
Answer:
So it would takes approximately 6.9 hours to reach 32 F.
Step-by-step explanation:
For this case we have the following differential equationÑ
We can reorder the expression like this:
We can use the substitution and
so then we have:
IF we integrate both sides we got:
If we apply exponential in both sides we got:
And if we replace w = u-T we got:
We can also express the solution in the following terms:
For this case we know that since w ehave a cooloing,
, we have this model:
And if we want that the temperature would be 32F we can solve for t like this:
If we apply natural logs on both sides we got:
So it would takes approximately 6.9 hours to reach 32 F.