There is no local extremas but here is the objective function graphed
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
Answer:
the answer is d
Step-by-step explanation:
I came to this answer with simple deduction and process of elimination.
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
Answer:
Bar charts are for discrere data. That is, can only take particular values, eg number of children, which can only take a whole number, or favourite football team for instance. They typically have gaps between the bars to indicate the separateness of each value.
Histograms are either continuous (height) or grouped discrete data and don’t have gaps between the bars. Also, with Histograms, since the width of each bar is not necessarily the same, the area of the bar and not its height indicates the frequency
