Answer:
25/324
Step-by-step explanation:
Make a table of possible products:
Of the 36 results, 10 are greater than 15.
The probability the product is greater than 15 on a single roll is 10/36 = 5/18.
The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.
Answer:
Step-by-step explanation:
We are given that:
Where A and B are positive acute angles.
And we want to find cos(A + B).
Recall that cosine is the ratio of the adjacent side to the hypotenuse. Using this information, find the opposite side with respect to Angle A:
Tangent is the ratio of the opposite side to the adjacent side. Find the hypotenuse with respect to Angle B:
In summary:
With respect to Angle A, the adjacent side is 20, opposite is 21, and the hypotenuse is 29.
With respect to Angle B, the adjacent side is 60, the opposite is 11, and the hypotenuse is 61.
We can rewrite our expression as:
Using the above information, substitute in the appropriate values. Note that since A and B are positive acute angles, all trigonometric values will be positive. Hence:
Simplify:
The perimeter of a square is expressed according to the formula:
P = 4L
P is the perimeter of the square
L is the side length of the square
Given the following
Perimeter is y
Length is x
The function that represents the statement is expressed as
The required function formula for the function "f" is
The domain of the function is the value of the input value for which the function exists
The range of the function is the value of the output value f(x) for which the function exists, hence;
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