25% reduced
you take 337.50 divide by 450 which gives you .75
so you take 100% minus 75% and you get 25%
you can check the work by taking 450 time .25 which gives you 112.5 . and subtract that from 450 you'll end up with 337.50
Theta has a reference angle of 30° and is in Quadrant I or II.
Sin(theta) = ½
Basic angle: 30
<h3>What is the reference angle?</h3>
The acute angle between the terminal arm/terminal side and the x-axis. The reference angle is always positive. In other words, the reference angle is an angle sandwiched between the terminal side and the x-axis.
Angles: 30,
180-30 = 150
Because sin is positive in quadrants 1 and 2.
To learn more about the terminal side visit:
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probability of drawing ace: 4/52 = 1/13
probability of drawing 9: 4/52 = 1/13
probability of drawing ace or 9: 1/13 + 1/13 = 2/13 or ~15.4%
Answer:
227.5
Step-by-step explanation:
x=Kofi
x+75=Kojo
x+x+75=380
2x+75=380
2x=305
x=152.5
Kojo=152.5 plus 75
227.5
9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.