The answer is 27.7 because you do 2 times 3.14 times the radius which is 4.4.
The systems of equations that could be used to solve the problem is
5n = 3d
5n = 3d3d + 5n = 4
Given:
numerator = n
denominator = d
Ratio = 3 : 5
Equation 1
n / d = 3/5
cross product
n × 5 = d × 3
5n = 3d
Equation 2
(n + 2) / (d + 2) = 3/5
cross product
(n + 2) 5 = (d + 2)3
5n + 10 = 3d + 6
collect like terms
10 - 6 = 3d - 5n
4 = 3d - 5n
3d + 5n = 4
Therefore, the systems of equations that could be used to solve the problem is
5n = 3d
5n = 3d3d + 5n = 4
Learn more about equation:
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Answer:
Step-by-step explanation:
8=09
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.
we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.
-1----0----1----
2 ----3-----4------5
well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?
y = (x - 5)(x + 1)
y = (2 - 5)(2 + 1)
y = (-3)(3)
y =
-9