The value of x is 30; hence 4x is equal to 120. That is because the sum of the angles of a triangle is 180. So, add x, x and 4x together, you get 6x. Divide 180 by 6, you get 30. Hope this helped!
One scarf=s
One hat=h
2s+h=13
s+2h=14
h=13-2s
(plug that into the other equation)
s+2(13-2s)=14
s+26-4s=14
26-3s=14
-3s=-12
s=4
One hat=$5
One scarf=$4
5+4=9
Price of one hat AND one scarf is $9
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 :)
Answer:
600 ft cubed
Step-by-step explanation:
Triangle volume formula V = 1/2(l*w*h)
1/2(4*12*9) = 216 ft cubed
Formula for rectangular prism V = (l*w*h)
(4*16*6) = 384 ft cubed
Adding the values: 600 ft
Answer:
(x+4)
Step-by-step explanation:
Solve by factoring. Think about what numbers multiply to be -36 (the last term) BUT also subtract/add up to be -5, which is the middle term. The answer to this is 4 and -9. Therefore, the two factors are (x-9)(x+4)
