Answer:
AC ≈ 12.9 cm
Step-by-step explanation:
Using the ratio
sin40° = 
Multiply both sides by 20
20 × sin40° = b, hence
AC = b = 20 × sin40° ≈ 12.9
Answer:
Step-by-step explanation:
A) 16.13 = 12(1.03)ⁿ
1.344 = (1.03)ⁿ
ln(1.344) = n(ln(1.03))
n = (ln(1.344)) / ln(1.03)
n = 10.0062...
so a domain of 0 ≤ n ≤ 10 is reasonable
B) y-intercept is the height of the plant on day 0 which would be 12 cm
C) f(3) = 12(1.03)³ = 13.11 cm
average rate of change = Δh/Δn = (16.13 - 13.11) / (10 - 3) = 3.02 / 7
= 0.43 cm/day or average growth per day
Answer:
In fact, the AB could be calculated in a quickest way, using Pythagorean theorem. In here, we try to use the property of trigonometry to work out AB.
Before applying trigonometry, in this right triangle we can calculate the remaining angle C:
C = 180 - 90 - A = 180 - 90 - 53.13 = 36.87 deg
We can use cosine formula, but here we use the sine formula for the sake of convenience. We have:
sine(angle measure) = ratio of opposite side over hypotenuse
In detail, sineC = AB/BC
Then, we have: AB = BC x sineC = 15 x sin(36.87 deg) = 9.000002 = ~9 ft
Hope this helps!
:)
Answer:
12.6 cm
Step-by-step explanation:
(other leg)² = (15)² - (8)²
(other leg)² = 225 - 64
other leg = √161 ≈ 12.6 cm
