Answer:
Are 480/40 and 300/25 proportional? Cross products 48025 = 1200 and 300400 = 1200, so their salaries are proportional.
So in conclusion the answer is true.
Step-by-step explanation:
Answer:
O is largest, C is medium, and T is smallest
Step-by-step explanation:
You need to pay close attention to the side length. The higher the length, the smaller the angle.
:)
Your answer is
-5
because of-5 is greater than-7 and equal to-5
so it's satisfied the equation
-7<-5<=-5
Since we can find a solution for this system of equations we can affirm this is an independent system with solution equal to (x,y) = (3,-1)
* If we graph a dependent system in the slope - intercept form, we can see that the graphs of each one are identical to each (beacuse we are representing the same line).
*An inconsistent system occurs when the equations have the same slope, but different values of intersection with the Y axis.
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
