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DedPeter [7]
3 years ago
5

Suppose that the position of one particle at time is given by x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π and the position of a second p

article is given by x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π. Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time? If so, find the collision points.
Mathematics
1 answer:
Mashcka [7]3 years ago
6 0

Answer:

there is no collision between the particles

Step-by-step explanation:

for the first particle

x1=3sin t, y1 = 2 cos t, 0 ≤ t ≤ 2π

for the second particle

x2 = -3 + cos t, y2 = 1 + sin t, 0 ≤ t ≤ 2π

then for the collision

x1=x2 → 3*sin t = -3 + cos t → sin t= -1 + (cos t)/3→ 1+ sin t = (1/3)cos t  

y1=y2 → 1 + sin t = 2 cos t → (1/3)cos t  = 2 cos t →(1/3) = 2

since 1/3 ≠ 2 there is no collision between the particles

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Triangle PQR has vertices , , and . It is translated according to the rule . What is the y-value of ?
steposvetlana [31]

Answer:

-10 is the correct answer to the given question .

Step-by-step explanation:

Missing information:

Following question is incomplete there is no information about the vertices and the rules .Following are the complete question that is mention below

Triangle PQR has vertices P(-2, 6), \ Q(-8, 4), and\  R(1, -2). It is translated according to the rule    (x, y)\ -> \  (x\  - \ 2, y\  - 16). What is the y-value of P'?

Now coming to the solution as already mention in the question

The translated rule is (x, y)\  -> (x - 2, \ y -16).

Now calculated the vertices P value according to the rule of translated

P(-2, 6)\\Now \  apply \ the\ translated\ rule \ in\  P\ vertices\\P(-2, 6)->P1(-2-2,\ 6-16)\\P1->(-4,-10)

So -10 is the value of y in P vertices .

6 0
3 years ago
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Find the sine of ZI. J 21 D I Write your answer in simplified, rationalized form. Do not round.​
Kitty [74]
What is ZI? Can you specify? thanks
7 0
2 years ago
identify which number is greater with the symbols > or < or ~ (approximate) pls have the explanation as well thank you!! -
grin007 [14]

Answer:

-3.3>-10/3

Step-by-step explanation:

-10.3 is equal to -3.3333333333....

-3.3 just stops at the tenths so there is 0.033333333 more in -10/3. The higher the negative number the lower it is, for example -3>-4. Therefore, -3.3>-10/3.

4 0
3 years ago
Recipe
aleksandr82 [10.1K]

Answer: 20 strawberries

1 litre of orange juice

500ml yogurt

2

Step-by-step explanation:

Based on the recipe, the average for 1 smoothie, we need buy 5 strawberries, 1/4 litre of orange juice, 125ml yogurt, 1/2 banana

Thus, for 4 smoothies, we need the average quantity for 1 smoothie multi with 4

- 5*4 = 20 strawberries

- 1/4 litre *4 = 1 litre of orange juice

- 125ml yogurt * 4 = 500ml yogurt

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3 0
2 years ago
Please help with this on the picture
galina1969 [7]
Answer:

a) 81

b) 16,807

c) 100

d) 78125

Step-by-step explanation:

a)

3^2 x 3^2

Step 1. Simplify the exponents

3^2 = 3 x 3 = 9

Step 2. Multiply

9 x 9 = 81
••••••••••••••••••••••••••••••••

b)

7 x 7^4

Step 1. Simplify the exponent

7^4 = 7 x 7 x 7 x 7 = 2401

Step 2. Multiply

7 x 2401 = 16,807
••••••••••••••••••••••••••••••••

c)

10^9 divided by 10^7

Step 1. Simplify the exponents

10^9 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 1000000000

10^7 = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10000000

Step 2. Divide

1000000000 divided by 10000000 = 100
••••••••••••••••••••••••••••••••

d)

5^8 divided by 5

Step 1. Simplify the exponent

5^8 = 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390625

Step 2. Divide

390625 divided by 5 = 78125



7 0
2 years ago
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