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
First, set up a proportion. 10.3% is the percentage of students who cancelled, but the question is asking for the students who are attending, so let’s use 89.7% to make it easier. The proportion would be x over 58 is equal to 89.7% over 100%. Multiply 58 by 89.7, giving you 5,202.6. Next, take 5,202.6 and divide it by 100. This should give you 52. 026, but it’s best to round this to 52. 52 students actually attend the art class, making this your final answer.
Answer:
tell me if im wrong but. 45?
Step-by-step explanation:
Answer: The cost of 97.5 square feet of glass is $1828.13
( Incredible! Who has a window that size in their house?!?! )
Step-by-step explanation:
The Area (not perimeter) is 1/2 b*h
To find the height if this equilateral triangle we can use the Pythagorean Theorem c² = a² + b²
The side of the triangle is 15; that is the hypotenuse, c
The <u>b</u>ase of the right triangle we need is 7.5
The <u>a</u>ltitude (height) is what we need to calculate.
15² = a² + 7.5²
225 = a² + 56.25 Subtract 56.25 from both sides, then take the square root to find <u>a, that is h in the Area equation.</u>
√168.25 = 12.99 . Round to 13
Calculate the Area = 1/2 b*h
15*13/2 = 97.5 square feet.
Multiply by the cost per square foot: $18.75
97.5 * 18.75 = 1828.125 . Round to $1828.13
The answer to that would be step 2