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Ierofanga [76]
2 years ago
14

You’ve explored a variety of trigonometric applications and studied different coordinate systems in the process, namely the Cart

esian (rectangular), the polar, and the complex coordinate systems. What do these coordinate systems have in common, and how is each system unique? How are the absolute value of an imaginary number, the magnitude of a force, and the distance between two points related to one another? What are the advantages and disadvantages of each system
Mathematics
1 answer:
Vaselesa [24]2 years ago
6 0

Answer:

Step-by-step explanation:

this idea is probably a good thing to have a solid understand of.   That Cartesian (rect) is the x and y components, of the legs of a triangle  and is a way to measure that part of the two leg of the triangle that is made up by those pieces.. while the polar system would measure the hypotenuse of that same triangle with the degrees as a way to place where that hypotenuses goes

the abs value of an imaginary number will give you that distance from the origin to the point.. if you are using that  sqrt ( x^{2} + y^{2} ) to get the abs.  this is the same as the magnitude and can represent a total force.  The distance between the origin and the point is that idea of two points.. conveniently we used (0,0) the origin as one of the points.. the other is at the top of the line or the point given by the complex number

Hopefully that helps...  :/

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What’s the volume of this triangular prism ?
iris [78.8K]

Answer: 157.5

Step-by-step explanation: To get the volume of an object you must multiply the width x height ÷ it by 2 x length

Therefore 7 x 5 = 35 ÷ 2 = 17.5

17.5 x 9 = 157.5

4 0
3 years ago
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ANEK [815]

Hello! :)

Let's use PEMDAS.

Parenthesis

Exponents

Multiplication

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Addition

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(5-2) = 3 Do parenthesis.

7 × 3 = 21 Multiply with what we got after doing the parenthesis.

9 + 21 = 30 Add with what we had left.

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5 0
3 years ago
How do you find the height of a triangle (to calculate area)?
Lilit [14]

Answer:

The height of the triangle could be found by the <u>Pythagoras theorem</u>, where the result is, with the data of the exercise:

  • <u>Height of the triangle = 10.392</u>

And the area of the triangle is:

  • <u>Area of the triangle = 31.176 units^2</u>

Step-by-step explanation:

When you have two measurements of a triangle, as the case in the picture, you can find the third with the <em>Pythagoras theorem</em>, which is:

  • <u>(opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2</u>

As you can see in the picture, the measurement of the hypotenuse is 12, and the opposite leg could be 6, for this reason, we're gonna clear the adjacent leg of the formula above:

  • (opposite leg)^2 + (adjacent leg)^2 = hypotenuse^2
  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2

Now, we can replace the values in the formula obtained:

  • (adjacent leg)^2 = hypotenuse^2 - (opposite leg)^2
  • (adjacent leg)^2 = 12^2 - 6^2
  • (adjacent leg)^2 = 144 - 36
  • (adjacent leg)^2 = 108

Now, as we just need the adjacent leg, we take the square root of both sides:

  • adjacent leg = \sqrt{108}
  • <u>adjacent leg = 10.392 approximately</u>.

Now, with these data, we can find the area of the triangle with the next formula:

  • Area of a triangle = (base * height) / 2
  • And we replace the measurements:
  • Area of a triangle = (6 * 10.392) / 2
  • <u>Area of a triangle = 31.176</u>

As the image does not contain units, it would be simply this number, however, <em>you should know that the area units are usually given squared, for example: in^2 or ft^2</em>.

4 0
2 years ago
Realtions??? IDK someone please explain
Greeley [361]
A relation is what it sounds like. A relation between numbers and/or objects.

A function is just a special type of relationship. In order for a relation to be a function, it must have only one output for one input.

On a graph, the x-axis is the input and the y-axis is the output. If you draw a vertical line through a point on the x-axis and there is only one point on that vertical line, then it is a function.

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8 0
3 years ago
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of
sveticcg [70]
Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)
8 0
3 years ago
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