Answer:
AC = 52
Step-by-step explanation:
the diagonals of a square are congruent and bisect each other, hence
AC = BD
2(3x - 4) = 10x - 48
6x - 8 = 10x - 48 ( subtract 10x from both sides )
- 4x - 8 = - 48 ( add 8 to both sides )
- 4x = - 40 ( divide both sides by - 4 )
x = 10
⇒ AC = 2(3 × 10 - 4) = 2 × 26 = 52
Answer:
B and D
Step-by-step explanation:
For a linear equation, the degree is 1.
For y=x² , the degree is 2, so it is not linear.
For y=2x, the degree is 1, so it is linear.
For y=4/x----->xy=4, the degree is 2, so it is not linear.
For y=x/4, we have 4y=x, the degree is still 1, this is also linear.
The correct options are B and D.
Answer:
The total surface area of the pipe is 4123.31 cm²
Step-by-step explanation:
Total surface area (TSA) of a pipe is calculated as;
Outer area of the pipe + Inner area of the pipe + cross section of the two ends
TSA = 2πRL + 2πrL + 2π(R² - r²)
TSA = 2π(RL + rL + R² - r²)
where;
R is the outer radius
r is the inner radius
L is length of the pipe
Determine the length of the pipe
Outer surface area of the pipe is calculated as;
outer surface of the pipe = 2πRL
2514.2 = 2πRL
2514.2 = (2π x 5) L
2514.2 = 31.42 L
L = 2514.2 / 31.42
L = 80.02 cm
Finally, determine the total surface area of the pipe
TSA = 2π(RL + rL + R² - r²)
TSA = 2π(5x80.02 + 3x80.02 + 5² - 3²)
TSA = 2π(400.1 + 240.06 + 16)
TSA = 2π(656.16)
TSA = 4123.31 cm²
Therefore, the total surface area of the pipe is 4123.31 cm²