Answer:
201 ft³ (201 cubic feet)
Step-by-step explanation:
The volume of a cylinder is given as:
V = pi * r² * h
Where r = radius of the cylinder
h = length of the cylinder.
The diameter of the cylindrical pipe, d = 4 ft
The radius of the cylindrical pipe, r = d/2 = 4 / 2 = 2 ft
The length of the cylindrical pipe, h = 16 ft
The volume of the cylindrical pipe is:
V = 3.14 * 2² * 16
V = 200.96 ft³ = 201 ft³ (to the nearest whole number)
The volume of the cylindrical pipe is 201 ft³ (201 cubic feet)
Answer:
9
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:
\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}
a
2
+b
2
=c
2
x
2
+(x−3)
2
=(x+3)
2
x^2+x^2-6x+9=x^2+6x+9x
2
+x
2
−6x+9=x
2
+6x+9
→Subtract x^2-6x+9x
2
−6x+9 from both sides:
x^2 = 12xx
2
=12x
→Subtract 12x from both sides:
x^2 -12x=0x
2
−12x=0
→Factor out x:
x(x-12)=0x(x−12)=0
→Separate, set = to 0, and solve:
\begin{gathered}x = 0\\x -12=0\end{gathered}
x=0
x−12=0
→ Add 12 to both sides: x = 12x=12
→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.
→All we need to do is take 12, and plug it into the equation for the shortest leg.
\begin{gathered}x - 3=?\\12-3=9\end{gathered}
x−3=?
12−3=9
Answer:
The correct option is C:
C) The representative sample contained more girls than boys.
Step-by-step explanation:
It is given that a random sample is chosen from a total students of 160 students. The sample can be of 10,15 or any small numbers of students as compared to 160. However, a sample cannot be of 160 students as it is defined as a population in this case.
A random sample is always unbiased. Which means that the sample chosen should have around the same proportion of girls to boys as it is in the population of 160.
We know that:
Total boys in 160 = 65
Total girls in 160 = 95
Proportion of girls to boys = 95/65 = 1.462
Which means that for every 1 boy, there are 1.462 of girls.
The same ratio is held in a random sample, hence the total number of girls will be greater than boys
Answer:
K(-4 , 8)
Step-by-step explanation:
Baby girl, you so hot guys line up for you.
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, add 45 TO 45
