Well,
A cylinder is actually a special type of prism. A prism is a 3-D figure made by taking a simple closed plane curve and translating it across space in a certain direction and for a given distance and then connecting the preimage and the image. A cylinder is just a prism made with a circle.
We know from translations that the image is congruent to the preimage. Thus, the bases of a (circular) cylinder are two congruent circles.
<span>Twenty-five percent of his friends have 13 or more baseball cards.
</span>
Answer:
Since 
, the superhero makes it over the building.
Step-by-step explanation:
The height is given by the following function:
Will the superhero make it over the building?
We have to find if there is values of x for which f(x) = 612.
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
.
This polynomial has roots 
such that 
, given by the following formulas:
If 
, the polynomial has no solutions.
In this question:
We have to find 
We have that 
. So
Since , the superhero makes it over the building.
For this case the main function is:
f (x) = x ^ 2
We are going to apply the following transformations:
Vertical translations
Suppose that k> 0:
To graph y = f (x) + k, move the graph of k units up.
We have then:
f (x) = x ^ 2 + 5
Horizontal translations
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
f (x) = (x + 1) ^ 2 + 5
Answer:
f (x) = (x + 1) ^ 2 + 5
The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area
The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)
The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)
The total area is: A = 54raiz (3) + 18raiz (91)
