Answer:
The answer is in the attachment!!!
Answer:
cot θ = √15 / 7
Explanation:
csc θ = 1 / sin θ
In a right angled triangle, sin θ = opposite / hypotenuse
This means that:
csc θ = hypotenuse / opposite = 8 / 7
So, we have:
opposite = 7 units and hypotenuse = 8 units
We will use the Pythagorean theorem to get the adjacent side as follows:
(hypotenuse)^2 = (opposite)^2 + (adjacent)^2
(8)^2 = (7)^2 + (adjacent)^2
(adjacent)^2 = 15
adjacent = √15 units
Now, we want to get the value of cot θ.
We know that:
cot θ = 1 / tan θ
Since tan θ = opposite / adjacent
Therefore:
cot θ = adjacent / opposite = √15 / 7
Hope this helps :)
Answer:
The two polynomials are:
(x + 1) and (x² + x)
Step-by-step explanation:
A polynomial is simply an expression which consists of variables & coefficients involving only the operations of addition, subtraction, multiplication, and non - negative integer exponents of variables.
Now, 1 and x are both polynomials. Thus; 1/x is already a quotient of a polynomial.
Now, to get two polynomial expressions whose quotient, when simplified, is 1/x, we will just multiply the numerator and denominator by the same polynomial to get more quotients.
So,
Let's multiply both numerator and denominator by (x + 1) to get;
(x + 1)/(x(x + 1))
This gives; (x + 1)/(x² + x)
Now, 1 and x are both polynomials but the expression "1/x" is not a polynomial but a quotient and thus polynomials are not closed under division.
Answer:
360
Step-by-step explanation:
Given
Digits: 0 to 5
Required
Number of 4 digit passcode that can be generated.
First, we need to get the number of usable digits.
Digits 0 to 5 = 0,1,2,3,4,5
Number of digits = 6
To make a 4 digit passcode;
The first digit can be taken from any of 6 digits
The second digit, any of the remaining 5 digits
The third digit, any of the remaining 4 digits
The fourth digit, any of the remaining 3 digits
Number of passcode = 6 * 5 * 4 * 3
Number of passcode = 360
