Multiplicative inverse of -10 is
because:
Answer: 4 pi
Step-by-step explanation:
Answer:
$-1
Step-by-step explanation:
because you have more black marbles your chances of getting a black marble are highest
Answer:
The value of cot theta is undefined for all the options
Step-by-step explanation:
I think the best way to go about this is by the use of a calculator.
All that needs to be done is to input the individual values to see where we have an answer that is out of it.
Now, moving away from the calculators, we know quite well that cot is a derivative of tan.
By knowing the values at which we have tan as undefined, we can appropriately see values where cot too would be undefined.
On a normal scientific calculator, there is no cot functionality.
The way around this is to express
Cot theta as 1/tan theta
Thus cot 90 = 1/cot(90) = calculation error
Cot 180 = 1/tan (180) = calculation error
Cot 270 = 1/tan 270 = calculation error
Cot 450 = 1/tan (450) = calculation error
This shows that the value of cot is undefined for all of these options
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48