Answer:
Because the sum of the interior angles of a triangle is 180,
X=180-(65+35)
X=180-100=80
The population is increasing every year. so we use exponential growth function

Where 'a' is the initial population
r is the rate of increase
x is the years
y is the final population
In 2015, the population of a small town in Florida is 95
Initial population a= 95
r= 15%= 0.15
x = 2023 - 2015 = 8 years
Plug in all the values and find out y


y = 290.607
The population in 2023 is 291
Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
<u>To find the value of variables</u>
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Answer:

And replacing the value of
we got:

Step-by-step explanation:
For this case we have the long who represent the height 10 cm and the diameter is 6cm. So then the radius is given by:

And the surface area for a cylinder is given by this formula:

And replacing the info given we got:

And replacing the value of
we got:

Answer:

Step-by-step explanation:
we know that
The equation of a exponential growth function is given by

where
y is the value of the home
x is the number of years
a is the initial value
r is the rate of change
we have

substitute

