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jeka94
2 years ago
12

Find the distance between the following points: (0,0,0) and (-2,6,3)

Mathematics
1 answer:
marusya05 [52]2 years ago
6 0

9514 1404 393

Answer:

  3.  7

Step-by-step explanation:

The distance formula applies in 3 dimensions as well as 2.

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

  d = √((-2)² +6² +3²) = √(4 +36 +9) = √49

  d = 7

The distance between the two points is 7 units.

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Find the two smallest possible solutions to part 1a​
bixtya [17]
<h3>Answer: A. 5/12, 25/12</h3>

============================

Work Shown:

12*sin(2pi/5*x)+10 = 16

12*sin(2pi/5*x) = 16-10

12*sin(2pi/5*x) = 6

sin(2pi/5*x) = 6/12

sin(2pi/5*x) = 0.5

2pi/5*x = arcsin(0.5)

2pi/5*x = pi/6+2pi*n or 2pi/5*x = 5pi/6+2pi*n

2/5*x = 1/6+2*n or 2/5*x = 5/6+2*n

x = (5/2)*(1/6+2*n) or x = (5/2)*(5/6+2*n)

x = 5/12+5n or x = 25/12+5n

these equations form the set of all solutions. The n is any integer.

--------

The two smallest positive solutions occur when n = 0, so,

x = 5/12+5n or x = 25/12+5n

x = 5/12+5*0 or x = 25/12+5*0

x = 5/12 or x = 25/12

--------

Plugging either x value into the expression 12*sin(2pi/5*x)+10 should yield 16, which would confirm the two answers.

7 0
3 years ago
Read 2 more answers
Which expression is equivalent 10 (6x + 15) - 3? A. -2x + 12 B. 2x + 2 C. -2x - 2 D. -2x -8​
Musya8 [376]

Answer:

60x+147

Step-by-step explanation:

10(6x+15)-3

60x+150-3

60x+147

7 0
3 years ago
Sue has 20 biscuits in a tin There are 12 plain biscuits 5 chocolate biscuits 3 currant biscuits Sue takes at 2 random biscuits
vagabundo [1.1K]

Answer:

111 / 190

Step-by-step explanation:

Total biscuits = 20

Plain, P = 12

Chocolate, C = 5

Currant, K = 3

Assume without replacement :

Probability that biscuit are of the same type :

P(plain) :

12 / 20 * 11 / 19 = 132 / 380

P(chocolate) :

5/ 20 * 4 / 19 = 20/ 380

P(currant) :

3/20 * 2 /19 = 6 / 380

Therefore,

Probability that biscuit is of the same type :

P(plain) + P(chocolate) + P(currant)

132/380 + 20/380 + 6/380

158 / 380 = 79 / 190

Therefore, probability that biscuit aren't of the same type :

1 - P(biscuit is of same type)

1 - 79/190

(190 - 79) / 190

111 / 190

7 0
2 years ago
Plz help I need help on this problem
Elodia [21]

Answer:

what is the problem

Step-by-step explanation:

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6 0
3 years ago
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Becky collected this data about the number of boys and girls playing different instruments which answer option best represents t
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Data? I need the data! Not trying to provoke, but in order to answer this I need data...
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