Answer: 
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where 
is the force acting on the object, 
is the object's acceleration and 
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting 
and 
into the equation and solving for :
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is:
Answer:
21.25
Step-by-step explanation:
use the Pythagorean theorem, it is given that the shape is a rectangle so all opposite sides are congruent and all angles are right, since we know that the diagonal forms a right triangle we can use the pythagorean theorem
the Pythagorean theorm is a^2+b^2=c^2 where a and b are the legs (in this case the side of the triangle) and c is the hypotenuse which is the longest side in a right triangle
17^2+12.75^2=x^2
x^2=7225/16
now take the square root of both sides and you get -21.25 and 21.25
distance CAN NOT be negative so -21.25 isn't an option
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65
Answer:
116 Sq inches
Step-by-step explanation:
3×area of rectangle (l× b) + 2 area of triangle (1/2 b h)
3×32 + 2×1/2×4×5
96 + 20
116
<span>Since 360 is a multiple of 120, it is automatically the LCM of this problem.
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