9514 1404 393
Answer:
Step-by-step explanation:
The third angle can be found from the sum of angles in a triangle.
A + B + C = 180°
C = 180° -62° -97°
C = 21°
__
The remaining side lengths can be found using the Law of Sines.
a/sin(A) = b/sin(B)
a = sin(62°)(15/sin(97°)) ≈ 13.34
Similarly, ...
c/sin(C) = b/sin(B)
c = sin(21°)(15/sin(97°)) ≈ 5.42
The remaining side lengths are approximately ...
a ≈ 13.3
c ≈ 5.4
Answer:
The manufacturing time is 1.5385 minutes per unit.
Step-by-step explanation:
∵ The units manufactured by machine in 1 hour = 39,
We know that,
1 hour = 60 minutes,
∴ The units manufactured by machine in 60 minutes = 39,
That is,
39 units = 60 minutes,
⇒ 1 unit = =1.53846153846 ≈ 1.5385 minutes,
Hence, the manufacturing time is 1.5385 minutes per unit.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by
computing the differences of all the adjacent terms
The difference between all the adjacent terms is the same and equal to
also
so substituting ,
in the nth terms
Therefore, the Explicit formula is: