Answer:
Slope = 
Step-by-step explanation:
(5 , -2) ; (-3, 4)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B4-%5B-2%5D%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%2B2%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%7D%7B4%7D%5C%5C%5C%5C)
Answer:
The area after 9 years will be 1,234 km^2
Step-by-step explanation:
In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.
To answer this question, we shall be using an exponential approximation.
Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.
This can be written as;
A = I(1-r)^t
where A is the new area we are looking for
I is the initial area which is 1700 according to the question
r is the rate of decrease which is 3.5% = 3.5/100 = 0.035
t is time which is 9 years according to the question
We plug these values and have the following;
A = 1700(1-0.035)^9
A = 1700(0.965)^9
A = 1,233.66
This is 1,234 km^2 to the nearest square kilometer
Answer:
8.2 units
Step-by-step explanation:
Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC
<u />
<u>Recall the Law of Cosines</u>
<u />
<u>Identify angles and sides</u>
<u />
<u>Solve for side "a"</u>
<u />
Therefore, the length of line segment BC is about 8.2 units
29580 + 3440 = 33020. The is about 33,000mi. The answer is d.
Answer:

Step-by-step explanation:
-The volume of a cone is given by the formula:

Where:
- r is the cone's radius.
- h is the cone's height.
#We substitute for r and h in the formula to solve for V:

Hence, the each cone's volume is 