Answer:
30 centimeters^2
Step-by-step explanation:
The area of a triangle can be found using the following formula.
A= (b*h)/2
In this triangle, the base is 12 cm. The height is 5 cm, since it forms a right angle with the base.
b= 12 cm
h= 5 cm
A= (12 cm * 5 cm) / 2
Solve inside the parentheses first. Multiply 12 cm and 5 cm.
A= (60 cm^2) / 2
Divide 60 cm^2 by 2
A= 30 cm ^2
The area of the triangle is 30 square centimeters.
Answer:
2
Step-by-step explanation:
PEMDAS
parenthesis
, exponents,
multiplication,
division,
addition,
subtraction.
The equivalent expression of 
is 
<h3>How to determine the
equivalent expression?</h3>
The complete question is in the attached image
The expression is given as:
Subtract 11 from both sides of the equation
This gives
Hence, the equivalent expression of is
Read more about equivalent expression at:
brainly.com/question/4344214
#SPJ1
If we want to find when the population of species A will be equal to the population of species B, we need to see when the two equations for the population of each species are equal, ie. equate them and solve for t. Thus:
2000e^(0.05t) = 5000e^(0.02t)
(2/5)e^(0.05t) = e^(0.02t) (Divide each side by 5000)
2/5 = e^(0.02t) / e^(0.05t) (Divide each side by e^(0.05t))
2/5 = e^(-0.03t) (use: e^a / e^b = e^(a - b))
ln(2/5) = -0.03t (use: if b = a^c, then loga(b) = c )
t = ln(2/5) / -0.03 (Divide each side by -0.03)
= 30.54 (to two decimal places)
Therefor, the population of species A will be equal to the population of species B after 30.54 years.
I wasn't entirely sure about the rounding requirements so I've left it rounded to two decimal places.
