Population are always modeled by exponential growth equation given by:
f(x)=a(1+b)^t
where:
a=original number
b=rate of growth
t=time
thus
f(x)=412(1.05)^t
the population after 9 months will be:
f(9)=412(1.05)^9=639.15=639
The formula for the volume of a sphere is

. Plugging in 4.7 for your radius, we get

, which is roughly 29.453π≈92.530.
D : c = 33 : 22
where d is the number of dogs and c is the number of cats;
and: d + c = 3030
33 c = 22 d / : 11
3 c = 2 d
From the other equation: c = 3030 - d
3 * ( 3030 - d ) = 2 d
9090 - 3 d = 2 d
5 d = 9090
d = 9090 : 5
d = 1818
Answer: There are 1818 dogs in the shelter.
The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:

Convert to degrees





Convert to degrees



So, the measure of angle S is:
---- Sum of angles in a triangle


The required distance is distance AB
This is calculated using the following sine formula:

Where:

So, we have:

Make AB the subject


Hence, the distance between both lighthouses is 5783.96 m
Read more about bearing and distance at:
brainly.com/question/19017345
Answer: yes it can be a measure of a triangle
I hoped i helped you and can i have brainliest if it's ok? ty
Sides: a = 6 b = 11 c = 13
Area: T = 32.863
Perimeter: p = 30
Semiperimeter: s = 15