Answer:
6852 feet .
Step-by-step explanation:
Refer the attached figure
The chairlift at a ski resort rises a total of 2600 feet from where it starts. i.e.AB = 2600 feet
The angle of elevation is about 22.3 degrees.i.e.∠ACB= 22.3°
We are supposed to find How far do riders travel on the lift i.e.AC
In ΔABC
We will use trigonometric ratio





So, riders travel 6852 feet .
Answer:
3/4 inch per year
Step-by-step explanation:
A <em>unit </em>rate is the change in some quantity per <em>one</em> of another quantity. One common unit rate is <em>miles per hour</em>, which measure the number of miles traveled in <em>one hour</em>. Here, we're asked for the unit rate of plant growth per year, and we're told that at 16 years old, the plant measures 12 inches. Assuming this growth is <em>linear</em> (that is, it grows by the same amount each year), we can divide each quantity by the number of years (16) to find a unit rate of 12/16 = 3/4 inch per year.
Answer: Each multiple choice question is worth 5 points.
Step-by-step explanation: You can find this answer by using the equation "14m + 24 = 16m + 14" and then solving for "m". To find what "m" is, you must first subtract 14m from both sides, leaving "24 = 2m + 14". Next, you subtract 14 from both sides, leaving "10 = 2m". Finally, you divide both sides by 2, which will give you "m = 5". Thus meaning each multiple choice question is worth 5 points.
To check this, simply fill in for "m" and solve each side. 14 * 5 + 24 = 94 and 16 * 5 + 14 = 94. 94 = 94, so "m = 5" is correct.
I hope this helps!
We will have the following:
First, we construct the exponential decay function, that is:

Now, we will determine the population after 6 years:

So, the population after 6 years will be of approximately 37491 people-
465 / 3 = 155
so -153 + -155 + -157 = -465