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1 answer:
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Answer:
<em>x = 30.2 units</em>
Step-by-step explanation:
<u>Trigonometric Ratios</u>
The ratios of the sides of a right triangle are called trigonometric ratios.
Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.
The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.
We use the cosine ratio to calculate x:
Solving for x:
x = 30.2 units
Answer:
- Growth
- 22%
Step-by-step explanation:
<u>Given function:</u>
<u>Initial population size is when t = 0</u>
- P(0) = 400(1.22)⁰ = 400(1) = 400
<u>The multiple of 1.22 is applied every year, so the ratio of change is:</u>
- 1.22 = 122% = 100% + 22%
This is an exponential growth which represents 22% annual growth.
Answer:
option f
option a
option d
option c
option e
option b
Step-by-step explanation:
we have x^2 - 6x + 7 = 0
f) x^2 - 6x = -7
a) x^2 - 6x + 9 = -7+9
d) (x-3)^2=2
c)
e) x-3=+-
b) x=3+-