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zzz [600]
3 years ago
13

A ferris wheel is drawn on a coordinate plane so that the first car is located at the point ​(0​,80​). What are the coordinates

of the first car after a rotation of 270degrees counterclockwise about the​ origin?
Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

As the wheel makes this 270 degree counterclockwise rotation about the origin, the y-coordinate of the first car decreases from 80 to 0 and then further from 0 to -80, and finally increases to 0.

The x-coordinate decreases from 0 to -80 and then increases to 0; from there it increases further to 80.

Thus, the coordinates of the first car, after this 270-degree rotation, are (80, 0).

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gregori [183]
Elvis stamps: 0.29
Liberty stamps: 0.34
6 0
3 years ago
Mel's Furniture received an invoice dated September 27 for 5 bedroom sets at $3,000 each. The invoice indicated a chain discount
LenKa [72]

Answer: $12,916.70

Step-by-step explanation:

Given the following:

Invoice received :

Bedroom set = 5

Cost per set = $3,000

Chain discount = 5/8/3

Freight cost = $200

If Mel pays within the discount period:

Chain discount given = 5/8/3

Therefore, net equivalent price rate equals:

(1 - 0.05) × (1 - 0.08) × (1 - 0.03) =

0.95 × 0.92 × 0.97 = 0.84778

Net price = total cost × 0.84778

($3000 × 5) × 0.84778

$15000 × 0.84778 = $12,716.7

Net equivalent price + FOB Shipping

$12,716.7 + $200 = $12,916.70

5 0
4 years ago
You and your friend are selling tickets to a charity event. you sell 12 adult tickets and 6 student tickets for $138. your frien
mr Goodwill [35]
Let's say the cost of student tickets is x and the cost of adult tickets is y. Then:

(1) 12y + 6x = 138
(2) 5y + 11x = 100

If we rearrange equation (1) we get:
12y = 138 - 6x
Now divide each side by 12:
y = 11.5 - 0.5x

We can now substitute this into equation (2):

5(11.5 - 0.5x) + 11x = 100
57.5 - 2.5x + 11x = 100
8.5x = 42.5
x = 5, therefor the cost of a student ticket is $5.00
6 0
3 years ago
Unit rates...In our class, our teacher gave us a project to complete in 15 days.If the teacher assigned 4 consecutive projects,
denpristay [2]
If all 4 projects take 15 days, then you multiply 15 times 4. Since 15 * 4 = 60, you will have 60 days to complete the 4 projects.
3 0
3 years ago
You have 480 roses and 24 of them dies, how many per cent died?
Setler79 [48]

Answer:

5%

Step-by-step explanation:

5% of the roses died.

480 roses = Total number of roses

24 roses = number of roses that died

24 roses that died as a percent of 480 the total is:

24/480*100= 5%

To find the percent of roses that died, we take the number of roses that died and divide it by the total amount of roses there are and multiply it by 100 to find the percent.

5 0
3 years ago
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