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3 years ago

Use the diagram below to find the missing angle measures

Mathematics

1 answer:

ruslelena [56]3 years ago

6 0

Answer:

I have attached the answers below and how i got the answers :)

Hope this helps!

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NEED ASAP plz. I will also mark brainiest! Don't just take points, I will report you.

PilotLPTM [1.2K]

Part A:

You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.

The line between the origin and A is

$y = 3x$

We want everything below this line (line included), so the first inequality is

$y \leq 3x$

The line between the origin and B is

$y = \dfrac{1}{3}x$

We want everything above this line (line included), so the second inequality is

$y \geq \dfrac{1}{3}x$

Create a system with these two inequalities and you'll have an area including only points A and B

Part B:

To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:

$A:\begin{cases}3 \leq 3\cdot 1\\3 \geq \frac{1}{3}\cdot 1\end{cases},\quad B:\begin{cases}1 \leq 3\cdot 3\\1 \geq \frac{1}{3}\cdot 3\end{cases}$

Which means

$A:\begin{cases}3 \leq 3\\3 \geq \frac{1}{3}\end{cases},\quad B:\begin{cases}1 \leq 9\\1 \geq 1\end{cases}$

And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.

Part C

If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have

$B:\ 1$

And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6

3 0

2 years ago

Can you solve this? It is for MATH 111

umka2103 [35]

The equation only is true for objects with negligible air resistance. A feather does not have this property.
Using the equation shown:
50 = -16t^2
t^2 = 50/16 = 3.125
t = sqrt(3.125) = 1.77 seconds

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3 years ago

How do you find derivative of a function with two variables.

Leno4ka [110]

A function z=f(x,y) has two partial derivatives and y. These derivatives correspond to each of the independent variables and can be interpreted as instantaneous rates of change (that is, as slopes of a tangent line). Similarly, ∂z/∂y represents the slope of the tangent line parallel to the y-axis.

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2 years ago

What is 3a minus 5 equals -14

sasho [114]

Minus 5 from both sides so we have 3a=-19 now divide both sides by 3 so we have a=-6 1/3

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2 years ago

Select the correct answer.

Alecsey [184]

C. all real numbers

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3 years ago