Answer:
π 3.142?
Step-by-step explanation:
Answer: Both has equal probability of winning.
Step-by-step explanation:
It is given that Bob and Ben, each buy one lottery ticket.
Each ticket contains six numbers from a total of one hundred numbers (0–99).
Since, both the friends have bought same number of ticket with 6 numbers on each ticket.
Probability for choosing any numbers from (0-99) is same for all numbers from 0 to 99 i.e. .
Therefore, The probability of winning would be equal for both the friends.
The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:
Origin.
A function f(x) is said to be a odd function if:
Also, an odd function always has a symmetry with respect to the origin.
whereas a function f(x) is said to be a even function if:
Also, an even function has a symmetry with respect to the y-axis.
We know that:
Tangent function, cotangent function and cosecant function are odd functions.
Since,
( similarly sine function is also an odd function.
whereas cosine and secant function are even functions )
Hence, the graph of tangent function, cotangent function and cosecant function is symmetric about the origin.
The tangent, cotangent, and cosecant functions are odd and exhibit symmetry with respect to the origin. This is because an odd function satisfies the condition y(x) = -y(-x), meaning for every point (x, y) on the graph, the point (-x, -y) is also on the graph.
The tangent, cotangent, and cosecant functions are indeed odd functions, meaning they exhibit symmetry with respect to the origin. An odd function satisfies the condition y(x) = -y(-x), and when graphed, this produces a symmetry with respect to the origin of the coordinate plane. Essentially, this means that if a point (x, y) is on the graph of an odd function, the point (-x, -y) is also on the graph.
For an example, let's consider the tangent function, which is an odd function: For any angle A, the tangent of -A is the opposite of the tangent of A, or tan(-A) = -tan(A). Graphically, this implies that if we reflect the graph of the tangent function over the x-axis, and then over the y-axis, we will get the original function back, thus verifying the symmetry in odd functions.
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Answer:
Reflection about the vertical line x = 2.5 inches will map the square unto itself
Step-by-step explanation:
The given parameters are;
The area of the square = 25 in²
The orientation of the sides of the square are horizontal and vertical
Therefore, we have;
The area, A, of the square given by the following relation;
A = Side²
A = 25 in²
Therefore;
The area of the square = 25 = side²
The length of the sides of the square = √A = √25 = 5
The length of the sides of the square = 5 inches
The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry
One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)
Therefore, reflection about the line x = 2.5 inches will map the square unto itself.
Answer:
16
Step-by-step explanation:
Since this is a multiplication of the square of (y+4) by (y-4) the value of Y will be eliminated in the product, if you want to assure this you just need to do the multiplication, and to do so we just need to multiply feach factor in the binomial by the polynomial:
So now we know that the value for the Y is 16.
(y - 4)(y² + 4y + 16)
y³ + 4y² + 16y - 4y² -16y - 64
y³ + 4y² + ay - 4y² - ay - 64
a = 16