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Advocard [28]
3 years ago
15

Convert the rectangular equation, 3x − y = 6 , to a polar equation that expresses r in terms of θ.

Mathematics
1 answer:
Yakvenalex [24]3 years ago
5 0
The answer would be 21
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Sophie [7]
It really depends. More details?
5 0
3 years ago
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Two triangles can be formed with the given information. Use the Law of Sines to solve the triangles. A = 55°, a = 12, b = 14
Mkey [24]
The way you'd set it up would be sin55º/12=sinB/14 (you could also flip the equation so that 12/sin55º=14/sinB, you'll get the same answer either way). Multiply out so that its 14•sin55º=12•sinB, or 11.47=12•sinB. Divide both sides by 12 so that it looks like .96=sinB, then take arcsine of both sides (arcsin= x=sin^-1 theta+360n or x=180- (sin^-1 theta)+360n), which should give you about 72.88º and 107.12º.
6 0
2 years ago
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2. A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.(a) The lands
Phantasy [73]

Complete question :

A landscaper drew a scale drawing of a rectangular yard using the scale, , before beginning to work on the yard.

(a) The landscaper plans to put a fence around the entire yard. How many meters of fencing does she need? Show your work.

(b) The landscaper plans to create a rectangular garden that is the size of the actual yard. What is the area of the garden?

Answer:

28cm ; 48cm²

Step-by-step explanation:

From the diagram :

Length = 8cm

Width = 6cm

Meters of fencing required :

Perimeter of rectangle :

P = 2(length + Width)

P = 2 (8cm + 6cm)

P= 2(14cm)

P = 28 cm

2.)

Area of rectangle :

Length * width

8cm * 6cm

= 48cm²

8 0
2 years ago
A poker hand is a set of 5 cards randomly chosen from a deck of 52 cards. Find the probability of a (a) royal flush (ten, jack,
zysi [14]

Answer:

a) 0.000001539

b) 0.00001385

c) 0.0002401

d) 0.001441

e) 0.001966

Step-by-step explanation:

Since there are 52 deck of cards, and the hand of the poker is 5 set, then the total number of hands achievable would be

T = 52! / 5!(52 - 5)!

T = 52! / 5! 47 !

T = 2598560 possibilities.

a) There are 4 ways of getting a royal flush. So the probability of getting a royal flush is

4 / 2598560 =

0.000001539

b) There are 9 hands from the 5 card hands, and also, there are 4 possible suits. So then, the probability is

9 * 4 / 2598560 =

36 / 2598560 =

0.00001385

c) There are 13 possible ways to get a four of a kind, since there are 5 cards with the poker, the remaining would be taken from the 48 remaining cards, thus

13 * 48 / 2598560 =

624 / 2598560 =

0.0002401

d) 3 of a kind in conjunction with a pair is needed to form a full house. This 3 of a kind can be gotten from any 4 suits. Then again, the pair has two cards with the same face value. So,

4! / 2! (4 - 2)! =

4! / 2! 2! = 6

That means, there are 6 possible ways to get our needed suits. Then, the probability of getting a full house is

13 * 4 * 12 * 6 / 2598560 =

3744 / 2598560 =

0.001441

e) To get a flush, all the 5 cards in the hand needs to have the same suit. Now, there are 13 different types of cards with only 5 cards being in the hand, thus

13! / 5! (13 - 5)! =

13! / 5! 8! = 1287

Now, recall that the question specifically asked us not to include any straight. There are 10 straights that can be gotten, and thus, we subtract it.

1287 - 10 = 1277

Since there are 4 suits, the probability of getting a flush is

1277 * 4 / 2598560 =

5108 / 2598560 = 0.001966

5 0
3 years ago
Calculate a four-day moving average for the price of the stock for the end of day 7. day 1 - 62.00; day 2 - 56.00; day 3 - 50.00
Aneli [31]

At day 7, the four-day moving average for the price of the stock would be $58.25.

<h3>What is the four-day moving average at day 7?</h3>

This can be found as:

= (Day 7 price + Day 6 + Day 5 + Day 4) / Number of days

Solving gives:

= (59 + 55 + 59 + 60) / 4

= 233 / 4

= $58.25

Find out more on moving averages at brainly.com/question/15188858.

#SPJ1

8 0
2 years ago
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