Solution
To determine the vertical translation
We need to determine the amplitude
The amplitude is
Since the minimum is 4
Hence, the Vertical shift is 3+4 = 7
Part B
Given f(x) = 4 sin(θ - 45) + 8
The vertical translation is 8
Answer:
251
Step-by-step explanation:
The ratio of major to minor arc = 2 : 1
What is a Circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
Calculation
The length of an arc (L) with center angle θ is given by:
L = (θ/360) * 2πr
where r is the radius.
Putting the values in the above formula.
For the major arc:
L = (240/360) * 2πr
For the major arc:
l = ((360-240)/360) * 2πr
l = (120/360) * 2πr
The ratio of major to minor arc = [(240/360) * 2πr] / [(120/360) *2πr] = 2 : 1
The ratio of major to minor arc = 2 : 1.
Learn more about the circle here:
brainly.com/question/15125799
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Answer:
Step-by-step explanation:
Let be 
, the range of the function corresponds to the set of values of 
. The sine function is a bounded function between -1 and 1. Hence, the range of the function is:
The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.
