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Arlecino [84]
3 years ago
15

Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminu

m that is 4.0 cm on each edge? The density of aluminum is 2.7 g/cm^3. Show all calculations leading to an answer.
Mathematics
1 answer:
KIM [24]3 years ago
6 0
The answer is 172.8 g.

The volume of the cube (V) is:
V = a³            (a - the side of the cube)

The density (D) <span>is quotient of mass (m) and volume (V):
D = m/V = m/a</span>³
⇒ m = D · a³
<span>

It is given:
D = 2.7 g/cm</span>³
a = 4 cm
Therefore:
m =  D · a³ = 2.7 · 4³ = 172.8 g
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Solve the following system of equations. Express your answer as an ordered pair in the format (a,
choli [55]
The second equation is <span>-5-2y=2, then
</span>
<span>-2y=2-(-5),
</span>
-2y=2+5,
-2y=7,
y=7÷(-2),
y=-3.5.
The first equation is 2x+5y=16, subtitude y=-3.5 in this equation, then
2x+5·(-3.5)=16,
2x-17.5=16,
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2x=16+17.5,
2x=33.5,
x=33.5÷2,
x=16.75.
Answer: (16.75,-3.5)


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3 years ago
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Two joggers run 8 miles north and then 5 miles west. What is the shortest
Verdich [7]

The shortest distance they have to travel to return to their starting point is 9.4 miles.

Explanation

The joggers run 8 mile north and then runs 5 miles west. we have to calculate the shortest distance they have to travel to return to their starting point.

The distance traveled north and west respectively makes the height and base of a right angled triangle.

to find the shortest distance to the starting point, the hypotenuse has to be determined.

height h=8 miles

base b=5 miles

using pythagoras theorem

b^2+h^2=H^2\\5^2+8^2=H^2\\25+64=H^2\\89=H^2\\\\H=\sqrt{89} =9.433=9.4 miles

The shortest distance to the starting point is 9.4 miles

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3 years ago
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