Answer with explanation:
A regular polygon is simple closed geometrical shape, only made up of line segments.
And Regular Tessellation, is geometrical shape, made up of regular polygons having, 3 ,or 4 or 6 sides.
It is combination of, only single kind of polygon,either, polygon having 3 sides, or ,4 sides or 6 sides.
→Regular polygon having 3 sides is Called Equilateral Triangle.
→Regular polygon having 4 sides is Called Square.
→Regular polygon having 6 sides is Called Regular Hexagon.
⇒Regular polygon having , 8 sides will not form a regular tessellation.
Option D
Answer:
Step-by-step explanation:
The can in this problem has a cylindrical shape. The volume of a cylinder can be calculated with the following formula:
where
r is the radius of the base of the cylinder
h is the height of the cylinder
In this problem we have:
h = 96 mm is the height of the can
d = 66 mm is the diameter of the can
So the radius of its base is
And therefore, the volume of the can is:
Answer:
Option D
Step-by-step explanation:
f(x) =
Transformed form of the function 'f' is 'g'.
g(x) =
Property of vertical stretch or compression of a function,
k(x) = x
Transformed function → m(x) = kx
Here, k = scale factor
1). If k > 1, function is vertically stretched.
2). If 0 < k < 1, function is vertically compressed.
From the given functions, k =
Since, k is between 0 and , function f(x) is vertically compressed by a scale factor .
g(x) = f(x + 4) represents a shift of function 'f' by 4 units left.
g(x) = f(x - 4) represents a shift of function 'f' by 4 units right.
g(x) =
Therefore, function f(x) has been shifted by 4 units left to form image function g(x).
Option D is the answer.
Given:
8 2/3 hours per month
12 months in a year.
Number of hours she play soccer in a year.
8 2/3 must be converted to improper fraction.
((8*3)+2)/3 = 26/3
26/3 * 12 = (26 * 12)/3 = 312/3 = 104
Yolanda spends 104 hours in a year playing soccer.