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3 years ago

Write the polar coordinates (3, pi) in rectangular form

Mathematics

2 answers:

Oliga [24]3 years ago

6 0

Answer:

(-3, 0)

Step-by-step explanation:

jekas [21]3 years ago

3 0

Answer:

See below.

Step-by-step explanation:

In polar coordinate system, we have two parameters describing a point. The first one is its distance from the origin and second its angle with respect to the positive X axis.

The point ( 3 , pi ) will have a distance of 3 units from the origin. The angle made is pi radians or 180 degrees. The negative Y axis is at 180 degrees from the positive X axis.

Hence the point at a distance of 3 units on the negative Y axis is ( -3 , 0 )

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Combine the like terms to create an equivalent expression. 5 + 9t + 3

nikdorinn [45]

Answer:

9t + 8

Step-by-step explanation:

9t + (5+3)

Think of it like this. You have 9 oranges, 5 grapes, and 3 grapes. How many grapes and oranges do you have?

Math wise, we will have t representing oranges, and the normal numbers representing grapes. All you have to do is combine them using whatever sign separates them. If you need more help, let me know.

7 0

3 years ago

Please help me!! I'm not good at math ✌

Bezzdna [24]

I believe these are the answers.
A
i) (y=5) x=6
ii) (y = -1) x=0
iii) (y = -2) x = -1
B
i) (x = -4) y = -5
ii) (x=2) y=1
iii) (x=5) y=4
Sorry if these are wrong but I hope the help.

6 0

3 years ago

Find two pairs of integers whose sum is -6

Norma-Jean [14]

There are many pairs of integers (whole numbers) that equal -6.

1 + 5
2 + 4
3 + 3
-3 + 9

You can choose from any of those pairs.

6 0

4 years ago

Find the surface area of the composite solid. Round your answer to the nearest hundredth.

iogann1982 [59]

The surface area of the composite solid is 579.84 square feet

<h3>How to determine the surface area of the solid?</h3>

The composite solid that completes the question is added as an attachment

From the attached figure, we have the following figures:

Rectangular prism
Cylinder

The surface area of a rectangular prism is

A = 2(lw + lh + wh)

Using the dimensions of the prism, we have:

A = 2(6 * 11 + 6 * 8 + 8 * 11)

This gives

A = 404

The surface area of a cylinder is

A = 2πr^2 + 2πrh

Using the dimensions of the cylinder, we have:

A = 2 * 3.14 * 4^2 + 2 * 3.14 * 4 * 5

Evaluate

A = 226.08

The area of the circle between both shapes is

A = πr^2

This gives

A = 3.14 * 4^2

A = 50.24

The surface area of the composite solid is then calculated as:

Surface area = Area of rectangular prism + Area of cylinder - Area of circle

This gives

Surface area = 404 + 226.08 - 50.24

Evaluate

Surface area = 579.84

Hence, the surface area of the composite solid is 579.84 square feet