Answer:
5.38516480713
Step-by-step explanation:
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:
m∠C = 38° (nearest whole number).
Step-by-step explanation:
To find the missing angle, use the Sine Rule.
<u>Sine Rule</u> (for angles)

where:
- A, B and C are the angles
- a, b and c are the sides opposite the angles
Given:
To find m∠C, substitute the given values into the formula and solve for C:




Therefore, m∠C = 38° (nearest whole number).
Learn more about the sine rule here:
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Answer:
9
Step-by-step explanation:
Sean and Greg share a 24-ounce bucket of clay
Sean uses 3/8 of the bucket
= 3/8 ×24
= 9 ounce
Greg uses 1/4 if the bucket
= 1/4 ×24
= 6 ounce
= 9+6
= 15 ounce
Therefore the quantity left in the bucket can be calculated as follows
= 24-15
= 9
Hence 9 ounces are left in the bucket