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wolverine [178]
3 years ago
15

Express the polar coordinates (-1, 180) as Cartesian coordinates.

Mathematics
1 answer:
Mashcka [7]3 years ago
6 0
Answer: The correct point is (1, 0)

In polar coordinates, the first number is the distance from the origin in any direction. The second number is an angle measurement that tells us the direction to go from the origin.

Therefore, we have to move -1 one unit (or backwards) from the origin. Now, all we need to know is the direction to move.

The second number is 180, so we make an angle of 180 degrees and move in that direction.

But where do we start?

We always start from the origin straight right along the x-axis. That is degrees 0. So a 180 degree angle would move us left along the x-axis. But remember, we are moving back 1 space, so we will end up at (1, 0).
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Mr. Anderson drove 168 miles in 3 1/2 hours. He then drove the next 2 1/4 hours at a rate of 5 miles per hour faster than the fi
BlackZzzverrR [31]
First we need to know how many miles per hour they drove the first time. This would be found by division. 168/3.5=48
Then we need to add 5 miles per hour for the average.48+5= 53
Next we need to multiply 2 1/4 by the new miles per hour 53*2.25=119.25
After that we need to know how many miles they drove 119.25+168=287.25 miles.
Finally to get an improper fraction we need to change 287.25 miles to it.
We already have 1/4 for .25 so we multiply 287 by 4 and add it to the 1/4 we already have and it makes it out to be 1149/4

Hope this helps!
8 0
3 years ago
Hearts win. In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hea
Afina-wow [57]

Answer: −1.409

Step-by-step explanation:

Probability of drawing 3 hearts: 13/52 * 12/51 * 11/50 = 0.013

Probability of drawing 3 black cards: 26/52 * 25/51 * 24/50 = 0.118

Probability of other draw: 1 - 0.013 - 0.118 = 0.869

0.013 * (50 - 5) = 0.585

0.118 * (25 - 5) = 2.353

0.869 * (0 - 5) = -4.347

Expected value: 0.585+ 2.353 - 4.347 = -1.409

7 0
3 years ago
Suzie bought an antique jewelry box for $34.50. It originally cost $8.75 when it was made. Its value has increased $0.75 a year
timama [110]

Answer:

if she would sell it for what it is worth now she would make $36.50

Step-by-step explanation:

0.75 x 83 = 62.5

62.5 + 8.75 = 71

71 is how much it is worth now

71 - 34.5 = 36.5

36.50 is how much she would make

7 0
3 years ago
Read 2 more answers
You have 2 2/3 cups of dried fruit to share evenly among five children. How many cups of fruit will each child receive.
Mice21 [21]
2 2/3 = [(2*3)+2]/3 =8/3
(8/3)/5=8/(3*5)=8/15
4 0
3 years ago
The double number line shows how many bananas are needed to make 111 loaf of banana bread.
skelet666 [1.2K]

Answer:

Chart

Number of loaves    Number of Bananas

1                                    2 1/2

2                                   5                            

4                                    10

Step-by-step explanation:

My friend helped me with this and since I saw no answer here I wanted to help YOU!!!!

So the first one was easy because it already said it in the number line.

The second one you simply multiply 2x 2 1/2

The third one you multiply 4x 2 1/2.

Hope it helps! Stay safe and dont go out during Quarantine!!!!!!!!!!

5 0
3 years ago
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