Answer:
<h2>radius = 9.77 yards</h2>
Step-by-step explanation:
Since the pool is circular
Area of a circle = πr²
where
r is the radius
From the question
Area = 300 square yards
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
300 = πr²
Divide both sides by π
We have

Find the square root of both sides
That's

r = 9.7720502
We have the final answer as
<h3>radius = 9.77 yards</h3>
Hope this helps you
Answer:
<h2>The year is 2010.</h2>
Step-by-step explanation:
The population of wolves is given by P(t) = 80(0.98)t.
The study has began in the year of 2000 and will end in 2020.
The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.
Hence, the maximum value of t is 11.
The domain is
.
The population will be 80, that is P(t) = 80.
Hence, 0.98t = 1, or, t =
≅1.
In (2009 + 1) = 2010, the population of wolves will be 80.
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b = legs of a right-triangle
c = length of hypotenuse
Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 + S^2+4S+4 = 100 cm^2 [collect terms and isolate]
2S^2+4S = 100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0 means (S+8)=0, S=-8
or (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm
Try this:
V=a³=6.2³=238,328 in.³
Answer: A.
Answer:
20 - 8
Step-by-step explanation:
Decreased = Subtraction
Very Simple