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Mathematics

1 answer:

Gennadij [26K]4 years ago

5 0

Answer:

26%

Step-by-step explanation:

There are 23 total classmates. 6 of the classmates take music lessons.

To find the percentage of classmates who take music lessons, divide the classmates who take music lessons by the total classmates.

6/23 = 0.26

0.26 = 26%

26% of students take music lessons.

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A cylindrical pressure vessel has a height of 9 feet and a diameter of 6 feet. how much gas can the pressure vessel hold when fu

bezimeni [28]

Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object :

ground area ×height

the ground area of a cylinder is a circle, so it is

pi×radius² × height

the radius is always half of the diameter (of the diameter is airways twice the radius).

radius = 6/2 = 3 ft.

the volume is then

pi × 3² × 9 = pi × 9 × 9 = pi × 81 ft³

so, the answer is 81pi ft³.

8 0

2 years ago

Find the coordinates of the midpoint of the line segment ab,where a and b have coordinates a(8.0),b(4.6)

umka2103 [35]

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 8}}\quad ,&{{ 0}})\quad 
% (c,d)
&({{ 4}}\quad ,&{{ 6}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left( \cfrac{4+8}{2}~~,~~\cfrac{6+0}{2} \right)\implies (6~~,~~3)$