<span> (mass 40kg) standing on slippery ice, catches her dog (mass 15kg) leaping toward her at 3.0 m/s. Use conservation of momentum to show that the speed of judy and her dog after the catch is 0.8 m/s .
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Answer:
see explanation
Step-by-step explanation:
Expand the right side and then compare like terms with the left side.
(q + 2
)²
= q² + 4q
+ 12
= q² + 12 + 4q
Compare like terms with 28 + p
Comparing the
terms gives
p = 4q
and comparing the constant terms gives
q² + 12 = 28 ( subtract 12 from both sides )
q² = 16 ( take the square root of both sides )
q = ±
= ± 4
Hence
p = 4q = 4 × ± 4 = ± 16
Answer:
55 Southern deliveries.
Step-by-step explanation:
Let's make a ratio
Northern : Central : Southern : Total
14 : 44 : 22 : 80
7 : 22 : 11 : 40
35 : 110 : 55 : 200
We can see from our ratio, that there are 55 Southern deliveries when 200 deliveries are delivered.
-50 + 60
= 10
10 - 70
= -60
-60 + 80
20
so he made a profit of $20
Answer:
x = 
Step-by-step explanation:
the ratio of side to hypotenuse in a right triangle is 1 : 
in this problem we can use 'x' in place of 1 and
in place of
to create a proportion like this:
1/x =
/
cross-multiply to get:
·x = 
x = 
x = 