Helppp, graph of function!!

Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?

liraira [26]

Answer:

The parametric equations represents an ellipse by the rectangular equation $\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1$ .

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

$\cos^{2} t + \sin^{2} t = 1$ (1)

Where:

$\cos t = \frac{2-x}{3}$ and $\sin t = \frac{y-1}{4}$

Then, we expand the expression as follows:

$\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1$ (2)

The parametric equations represents an ellipse by the rectangular equation $\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1$ .

3 0

3 years ago

A tree cutting business has an insurance policy to cover any damages caused during the tree cutting process. The business pays a

Yakvenalex [24]

Answer:

-$500

Step-by-step explanation:

The expected value of a payment from the policy is ...

$500,000 × 0.002 = $1000

Since the business pays $1500 for the policy, the expected value to the business is ...

$1000 - 1500 = -$500 . . . per year

_____

Of course, the expected value to the insurance company is $500 per year.

_____

We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.

3 0

3 years ago

Can someone help me with this

jolli1 [7]

Answer:

4 sides

Step-by-step explanation:

A lot of math is about pattern matching. Here, you're asked if sides are the same length (one side matches another), if there are right angles (square corners), and if the number of angles or sides is 4.

You might make the observations ...

pink: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

orange: all 4 sides are congruent and at right angles

blue: 2 pairs of parallel sides that are the same length (4 sides). Adjacent sides are different length.

green: 2 pairs of parallel sides that are the same length--4 sides and 4 right angles. Adjacent sides are different length.

__

The only feature in common is "4 sides."

5 0

2 years ago

Does the table represent a linear function ??

Anit [1.1K]

Answer:

Yes

Step-by-step explanation:

This represents a linear function because as it increases one in it always goes up 4.

8 0

3 years ago

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Lucas has five buttons in a container. Each button is a different shape. There is a star, an oval, a hexagon, a circle, and a he

Readme [11.4K]

Part A: There are five buttons in all in all in the given item. The item above can be answered through the fundamental principles of counting.

There are 5 items to choose from during the first pick. Because the shape can be returned and picked again, there are also 5 items to choose from in the second pick. Multiplying them,
n = 5 x 5 = 25
Therefore, the sample size for the compound event is equal to 25.

Part B: The same concept can be used in this part of the item; however, instead of 5 there are 6 buttons to choose from.
n = 6 x 6 = 36

Hence, the sample size of this picking process is 36.

7 0

4 years ago

Read 2 more answers

Helppp, graph of function!! ​

Helppp, graph of function!!