Answer:
velocity = 10 m/sec in the same direction as the first body did
Explanation:
The momentum of the body can be calculated as follows:
momentum = mass * velocity
For the first body, we have:
mass = 5 kg
velocity = 2 m/sec
momentum = mass * velocity
momentum = 5 * 2 = 10 kg.m/sec
We know that this momentum is transferred completely to the second body
For the second bode, we have:
momentum = 10 Kg.m/sec
mass = 1 kg
momentum = mass * velocity
10 = 1 * velocity
velocity = 10/1
velocity = 10 m/sec
Finally, we should get the direction of the motion:
Both the velocity of the first and second bodies have positive values. Therefore, the second body is moving in the same direction as the first body did.
Hope this helps :)
The formula is 2(wl+hl+hw) to calculate surface area fo a rectangular prism.
Given:
A rectangular greeting card uses a geometric design containing 4 congruent kites.
Consider the below figure attached with this question.
Length of card = 8 inches
Width of card = 4 inches
To find:
The area of one kite.
Solution:
The kites are connected to each other as shown below.
The length of a kite is:
inches
The width of a kite is:
inches
Area of a kite is:
Where, 
are diagonals of the kite.
Length and width of a kite are 4 inches and 2 inches respectively. So, the diagonals of a kite are 4 inches and 2 inches.
Using the above formula, we get
The area of a kite is 4 sq. in.
Therefore, the correct option is A.
Clearly, |S| = 50.
Count the multiples of 2 between 1 and 50:
⌊50/2⌋ = ⌊25⌋ = 25
(where ⌊x⌋ denotes the "floor of x", or the largest integer that is smaller than or equal to x; in other words, round <u>down</u> to the nearest integer)
Count the multiples of 3 between 1 and 50:
⌊50/3⌋ ≈ ⌊16.667⌋ = 16
Since LCM(2, 3) = 6, the sets of multiples of 2 and multiples of 3 have some overlap. Count the multiples of 6 between 1 and 50:
⌊50/6⌋ ≈ ⌊8.333⌋ = 8
Then by the inclusion/exclusion principle, we remove from S
25 + 16 - 8 = 33
elements, so that the new set S contains 50 - 33 = 17 elements.
Answer:
x = -3
y = 8
Step-by-step explanation:
x + 2y = 13 ------------(I)
x = 13 - 2y -----------(II)
-2x - 3y = -18 ----------(III)
Substitute x = 13 - 2y in equation (III)
-2*(13 - 2y) - 3y = -18
-2*13 - 2y *(-2) -3y = -18
-26 + 4y - 3y = -18 {Combine like terms}
-26 + y = -18 {Add 26 to both sides}
y = -18 + 26
y = 8
Substitute y = 8 in equation (II)
x = 13 - 2*8
= 13 - 16
x = -3
x = -3
y = 8
