Answer:
[c] The value of w cannot be a negative number.
[d] Substitution is used to replace the variable l with a value of 20.
[e] The subtraction property of equality is used to isolate the term with the variable w.
Step-by-step explanation:
To figure out which steps of the solution are true, let us solve.
2 l plus 2 w equals 62 -> 2l + 2w = 62
----
2l + 2w = 62
2(20) + 2w = 62 <- Substitution is used to replace the variable l with a value of 20.
40 + 2w = 62
2w = 22 <- The subtraction property of equality is used to isolate the term with the variable w.
w = 11
This means that the value of w is <em>not</em> 10 feet so the first option is incorrect. This shape is a rectangle, so the value of w cannot be 0. Since we cannot have a negative measurement, option three is incorrect. This leaves us with the last three options as our answer, shown by the work above.
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❖ The area is 169 square cm.
Find the value of each side (a square has 4 sides so divide by 4 ):
52/4 = 13
To find the area of a square, you only need 2 sides so multiply 2 sides:
13 x 13 = 139
Area = 139 square cm
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Answer:
The volume of the cylinder V = 942 cm³
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the graph
The height of the cylinder (h) = 12cm
The diameter of the cylinder d = 10cm
The radius of the cylinder
d = 2r
r = 
r = 5 cm
<u><em>Step(ii):-</em></u>
The Volume of the cylinder
V = π r² h
V = π (5)²(12)
V = 300π cubic centimeter
V = 300 × 3.14
V = 942 cm³
<u><em>Final answer:-</em></u>
Volume of the cylinder V = 942 cm³
From the given equation above, F = ma, acceleration may be calculated by slightly modifying the equation into a = F / m. Substituting the known values for force and mass,
a = 2,050,000 N / 40,000 kg = 51.25 m/s²
Thus, the acceleration achieved is 51.25 m/s².