Answer:
A
Step-by-step explanation:
We are given:
Since cosine is the ratio of the adjacent side over the hypotenuse, this means that the opposite side is (we can ignore negatives for now):
So, the opposite side is 5, the adjacent side is 12, and the hypotenuse is 13.
And since θ is in QIII, sine/cosecant is negative, cosine/secant is negative, and tangent/cotangent is positive.
Cosecant is given by the hypotenuse over the opposite side. Thus:
Since θ is in QIII, cosecant must be negative:
Our answer is A.
Answer:
All values are identical.
Step-by-step explanation:
We are given the following in the question:
If the standard deviation of a set of data is zero.
Then, all the values in data are identical.
This can be shown as:
Let all the terms in data be x.
Formula:
where 
are data points, 
is the mean and n is the number of observations.
Sum of squares of differences =
Thus, the correct answer is
All values are identical.
Answer:
5x-4y = -32
Step-by-step explanation:
First write the equation in point slope form
y-y1 = m(x-x1)
y - -2 = 5/4 ( x- -8)
y+2 = 5/4 (x+8)
Multiply each side by 4 to clear the fraction
4( y+2 )= 4*5/4 (x+8)
4y +8 = 5(x+8)
4y+8 = 5x+40
Subtract 4y from each side
8 = 5x-4y +40
Subtract 40 from each side
-32 = 5x-4y
5x-4y = -32
To answer this question, you need to understand how to convert unit. In this case, it will be quarts(qt) into centimeter cubic(cm3). A quart is 1/4 gallon and one gallon equal to <span>3 785.4 cm3. Then the calculation would be:
5qt of milk * 0.25 gallon/qt * </span>3 785.4 cm3/gallon= 4731.75 cm3
Answer:
Formula: a² + 2ab + b² = (a + b)²
The square root of 1/9x² = 1/3x so a = 1/3x and b = 1/5y.
The answer is (1/3x + 1/5y)².
