Answer:
Step-by-step explanation:
Suppose that the side length is s. Imagine that one side is level. Draw a vertical line through the top vertex perpendicular to the base (level side). Label this vertical line "h." Then h and s are related as follows:
√3 h
sin 60 degrees = ------- = --------
2 s
s√3
and so h = the height of the triangle = -----------
2
The area of this triangle is (1/2)(base)(height), which here is:
(1/2)(s/2)( s√3 /2), or
(s^2)√3
A = ---------------
8
Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives:
<span><span>
q−9</span>=12
</span>Step 1: Add 9 to both sides.
<span><span><span>q−9</span>+9</span>=<span>12+9
</span></span><span>q=21
</span>Answer:
<span>q=21</span>
Step-by-step explanation:
10=7-m
10-7=-m
3=-m
m=-3
Answer:
Draw a figure!
There are 6 surfaces to add.
4 of them have area 9*5 and 2 have area 5*4.
You should be able now to compute the surface areas.
Step-by-step explanation:
