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daser333 [38]
3 years ago
6

Which polar coordinates represent the same point as the rectangular coordinates (-4,5)?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
6 0

Answer:

2nd option

Step-by-step explanation:

To convert from (x, y ) → (r, θ )

where

r = \sqrt{x^2+y^2}

θ = tan^{-1} (\frac{y}{x} )

Here (x, y ) = (- 4, 5 ), a point in the 2nd quadrant

r = \sqrt{(-4)^2+5^2} = \sqrt{16+25} = \sqrt{41}

θ = tan^{-1} (\frac{5}{4} ) ≈ 51.3° ← related acute angle , then

θ = 180° - 51.3° = 128.7°

Thus

(- 4, 5 ) → (\sqrt{41}, 128.7° ) in polar form

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MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’
steposvetlana [31]

found this online, hope it helps !!

8 0
3 years ago
It costs $10 to make earphones, and the start-up costs for manufacturing are $5,000. How many earphones must be produced to get
WINSTONCH [101]

With that information we can create the equation

10x + 5000 = 20x

where x is the number of earphones produced

10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20

Now to solve the equation:

subtract both sides by 10x

10x - 10x + 5000 = 20x - 10x

5000 = 10x

Now divide both sides by 10

5000/10 = 10/10 x

500 = x

Answer: D

Hope it helps :)

3 0
4 years ago
How do I have the quotient for 5 divided by 7/8
asambeis [7]
5 / 7/8 is the same as doing 5 times the reciprocal of 7/8, or
5 • 8/7.

And since 5 is really 5/1, we can just multiply the two fractions together as you would usually do.

5/1 • 8/7 = 5•8/1•7 = 40/7

Answer is 40/7
7 0
4 years ago
84 of %300. i somehow got 24 but the answer was something like 252, i dont really get how. can you help?
Yuri [45]

Answer:

252

Step-by-step explanation:

Of means multiply

84 % * 300

Change to decimal form

.84 * 300

252

3 0
4 years ago
Read 2 more answers
Eric was attempting to construct a perpendicular bisector to the segment AB with a
matrenka [14]

Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

<h3>Steps in constructing a perpendicular bisector</h3>

The steps involved in constructing a perpendicular bisector are:

  • Draw a line segment XY of any appropriate length.
  • Take a compass, and with X as the center and with more than half of the line segment XY as width
  • Draw arcs above and below the line segment.
  • Repeat the same step with Y as the center.
  • Label the points of intersection as 'P' and 'Q'

Thus, Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB. Option C

The complete question

Eric was attempting to construct a perpendicular bisector to the segment AB with a compass and straight edge. Which of the below statements explains what Eric may have done wrong?

a. Eric should have started by putting the compass needle point at the midpoint of the segment AB.

b. On the second step, Eric should have placed the compass needle point where the first arc intersected the segment AB.

c. Erick just needed to open the compass more to create arcs that have a radius of more than half the length of the segment AB.

d. Erick didn’t do anything wrong he just needs to connect the opposite endpoints of each arc to finish the construction.

Learn more about perpendicular bisectors here:

brainly.com/question/11006922

#SPJ1

4 0
2 years ago
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