How to work out the expressions
1 answer:
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The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Step-by-step explanation:
Let,
x be the shortest piece.
Therefore,
Middle piece = x+5
As shortest piece is 9 in shorter than longer piece;
Shortest piece = longest piece - 9
x = longest piece - 9
longest piece = x+9
Length of sandwich = 56 in
According to given statement;
Shortest piece + middle piece + longest piece = 56
Dividing both sides by 3;
Shortest piece = 14 in
Middle piece = 14+5 = 19 in
Longest piece = 14+9 = 23 in
The shortest piece is 14 inches, middle piece is 19 inches and longest piece is 23 inches long.
Keywords: Addition, linear equation
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Answer:
1.9cm
Step-by-step explanation:
The density d of a material is related to its mass m and volume V as follows;
d = ------------------(i)
The material in question here is the lead ball.
Now, from known experiment;
the density of lead is <em>11.34g/cm³</em>
From the question, the weight/mass of the lead ball is <em>326g</em>
Substitute these values into equation (i) as follows;
11.34 =
V =
V = 28.75cm³
Now, since the ball is of course spherical, we can get the radius by using the following relation from the volume of a sphere;
V = [V = volume, r = radius]
V = 28.75cm³
=> 28.75 =
=> 3 x 28.75 = 4 π r³
=> 86.25 = 4 π r³
=> 21.5625 = π r³ [Take π = 3.142]
=> 21.5625 = (3.142) r³ [divide both sides by 3.142]
=> 6.86 = r³ [Take the cube root of both sides]
=> ∛6.86 = ∛r³
=> 1.90 = r
Therefore, the radius is 1.9cm to the nearest tenth