If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
I believe that the answer to this is k=0.0999
Answer:
3/23 miles per hour
Step-by-step explanation:
2 /23 mile
-----------------
2/3 hour
2/ 23 ÷ 2/3
Copy dot flip
2 /23 * 3/2
Rewriting
2/2 * 3/23
3/23 miles per hour
Answer:
Step-by-step explanation:
<u>Method 1:</u>
$300 on school supplies
1/10 on notebooks
As you're finding how much is left:
10/10-1/10=9/10
Convert 9/10 into a decimal
9/10=0.9
300*0.9=$270
OR
<u>Method 2: </u>
1/10=0.1
300*0.1=$30
Take away 30 from $300
$300-30=$270
By using either method, You would still have $270 left.
How this helps!!!
Have a nice day :)
Answer:
Gender, car
Step-by-step explanation:
Give the data above :
The categorical variables are : Gender and Car
The Gender are car variables represents non numeric variables written as strings and as such does not allow for numeric calculations such as addition, subtraction and so on, they are instead used to classify the observations in the data into discreet groups, the gender variable separates observations into Male and Female classes while, the car variable separates cars driven into distinct classes denoting the name of cars driven by each observation in the data. The other variables are of quantitative nature as they allow for numerical computation of the data values.
