Answer:
I think E
Step-by-step explanation:
You know the shortest building is 25 m.
to find the rest, use trigo so Tan(20)=opposite/adjacent.
Adjacent is 50. Do the math and add the answer with 25.
A. T= d/r
A good way to remember this is by making a pyramid with 3 parts and putting distance at the top and rate and time in the other two parts. This way you can visibly see the equation and use it if you need to find one for rate.
B. It's reasonable to write distance as a positive number because distance is always positive. You are not able to have a negative distance. Imagine someone standing on a side walk. Even if they are not moving, their distance is 0 which is positive. If they move backwards or forwards, their distance is still positive because it is more than that 0 and they are gaining something.
C. Just plug in the numbers into the formula.
T= d/r
T= 32.12 m /<span>8.8 m/min
T= 3.65 min
</span>
<h3>
Answer: Choice A</h3>
Why? Because the denominators are both the same at 2x+8. We can only add or subtract fractions when the denominators are the same. The general rule for adding fractions is
We have numerators A and B added together over a common denominator C. If we didn't have a common denominator, then we'd have to do a bit of algebraic manipulation to get both fractions to a common denominator. It doesn't have to be the lowest common denominator (LCD), though it's often more efficient that way.
Step-by-step explanation:
Part C: Of the following choices, which equation is the best fit line for the data
As we can see from the data, the population size are decreased year by year, so the slope of the line of best fit must be a negative number.
So we have: C and D left.
Let x = 0, year 2005, the population size is 296 around 320, hence, we choose D.
D f(x) = -34x + 320
Part D: What is the predicted population size for the year 2010? How does that compare to the real data? Round to the nearest million.
year 2010, x =5 so let substitute x =5 into f(x) = -34x + 320
<=> f(x) = -34*5 + 320
= 150 mil
The result is smaller than the real data, (201-150 = 51 mil)
Part E: In what year is the population predicted to go extinct
the population predicted to go extinct when f(x)= 0
<=> -34x + 320 = 0
<=> x ≈ 9.4
So after 10 years, the the population predicted to go extinct
