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Nady [450]
2 years ago
10

A body of mass 50 kg explodes and splits into three pieces. The first piece has a mass of 10 kg and a velocity of [-3,2] m/s, th

e second piece has a mass of 18 kg and a velocity of [5,-4]m/s. What is the velocity of the third piece?​
Mathematics
1 answer:
fiasKO [112]2 years ago
7 0

Step-by-step explanation:

From the conversation of angular momentum

Initial momentum=final momentum

Here,

Since body is initially resting, it's momentum must be zero.

Let v be velocity of third piece. Then

0= 10(-3i+2j) + 18(5i-4j) + 22v

Solving this we get,

v= 4/22(15i+13j).

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Two times one number added to three times a second number is 21.
Daniel [21]

Answer:

Step-by-step explanation:

"Two times one number added to three times a second number is 21.

2x + 3y = 21

"The second number is ten less than five times the first number"

y = 5x-10

Substitution

2x+3(5x-10) = 21

2x + 15x - 30 = 21

17x = 51

x = 3

y = 5x-10 = 5

3 0
3 years ago
How many lines of symmetry does the letter S have?
cestrela7 [59]
The letter S in the alphabet does not have any lines of symmetry. Therefore, the answer to this question is: Zero (0). This is because letter S is not symmetrical when it is cut or divided into 2 parts.
8 0
3 years ago
Is -12.5 greater than -12? will brainlist
notka56 [123]

Answer:

No

Step-by-step explanation:

negative numbers work the opposite of how positive numbers work. Think about it like this. -12 is 12 units less than 0 and -12.5 is 12.5 units less than 0 which means that -12.5 is less than -12

7 0
3 years ago
Read 2 more answers
Question 7 )
soldier1979 [14.2K]

<em>Answer:</em>

<u>Tony</u> has 45 dollars  

<u>Milan</u> has 15 dollars

<u>Lucy</u> has 25 dollars

<em>Explanation:</em>

<u>Let </u><u><em>x</em></u><u> represent the amount of money Milan has in his wallet.</u>

TONY: 3x

MILAN: x

LUCY: x+10

<u>Lucy, Milan, and Tony have a total of $85 in their wallets. Hence, the following equation.</u>

<u />

3x+x+x+10=85

5x+10=85

5x=75

x=75/5

x=15

Tony has 45 dollars (3*15=45)

Milan has 15 dollars (x=15)

Lucy has 25 dollars (10+15=25)

7 0
2 years ago
Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate
professor190 [17]

9514 1404 393

Answer:

  3.4%

Step-by-step explanation:

The total amount due is ...

  A = P(1 +rt/12) . . . . . principal P, annual rate r, t months

  33829.50 = 28500(1 +66/12r)

  1.187 = 1 +5.5r . . . . . divide by 28500, simplify

  0.185/5.5 = r = 0.034 = 3.4%

The interest rate on the loan is 3.4%.

3 0
3 years ago
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