Answer:
radius is 7yd, height is 4 yd, v=3.14 x 7^2 x 4. The last one, I'm not too sure about but it might be V= 615.44^3
Step-by-step explanation:
Answer:
For a function y = f(x), the range is the set of all the possible values of y.
In the question you wrote:
y = secx - 2
This can be interpreted as:
y = sec(x - 2)
or
y = sec(x) - 2
So let's see each case (these are kinda the same)
If the function is:
y = sec(x - 2)
Firs remember that:
sec(x) = 1/cos(x)
then we can rewrite:
y = 1/cos(x - 2)
notice that the function cos(x) has the range -1 ≤ y ≤ 1
Then for the two extremes we have:
y = 1/1 = 1
y = 1/-1 = -1
Notice that for:
y = 1/cos(x - 2)
y can never be in the range -1 < x < 1
As the denominator cant be larger, in absolute value, than 1.
Then we can conclude that the range is all reals except the interval:
-1 < y < 1
If instead the function was:
y = sec(x) - 2
y = 1/cos(x) - 2
Then with the same reasoning, the range will be the set of all real values except:
-1 - 2 < y < 1 - 2
-3 < y < -1
Answer: The area of the cross section is 81pi meters.
Since we are given the circumference, we can write and solve an equation about the diameter.
C = pi(d)
18pi = pi(d)
18 = d
Since the diameter is 18, the radius is half of that or 9 meters.
Now, plug 9 as the radius into the area formula.
A = pi(r^2)
A = pi(9^2)
A = 81pi
Red = r
Blue = b
Green = g
Step 1: Write as algebraic equations.
r = b + 6
g = b - 4
Step 2: Merge the two equations together to form one, by adding them together.
r + g = b + b + 6 - 4
Step 3: Simplify.
r + g = 2b + 2
Step 4: Make b the subject.
2b + 2 = r + g
2b = r + g - 2
b = 0.5(r + g - 2)
ANSWER
b = 0.5(r + g - 2)
