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ale4655 [162]
3 years ago
6

There were 90 boys at the Hammarskjold school dance. They made up 60% of all of the students there. How many total students were

there?
Mathematics
1 answer:
Harman [31]3 years ago
8 0

Answer:

The answer would be 150

Step-by-step explanation:

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How would I go about solving this problem???
schepotkina [342]
So.. if you take a peek at the picture below

the trunk is really just a half-cylinder on top of a square, with a depth of 2 meters

what's the volume?   well, easy enough, take the volume of the cylinder, then half it
take the volume of the rectangular prism, and then add them both

\bf \textit{volume of a cylinder}\\\\

\begin{array}{llll}
C=\pi r^2 h\\\\
\textit{half that}\\\\
\cfrac{\pi r^2 h}{2}
\end{array}\qquad 
\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}\implies \cfrac{C}{2}=\cfrac{\pi \left(  \frac{1}{2}\right)^2 2}{2}\\\\
-----------------------------\\\\
\textit{volume of a square}\\\\
V=lwh\qquad 
\begin{cases}
l=length\\
w=width\\
h=height
----------\\
l=1\\
w=1\\
h=2
\end{cases}\implies V=2



now.. for the surface area... \bf \textit{surface area of a cylinder}\\\\
\begin{array}{llll}
S=2\pi r(h+r)\\\\
\textit{half that}\\\\
\cfrac{2\pi r(h+r)}{2}
\end{array}\begin{cases}
r=radius\\
h=height\\
-------\\
r=\frac{1}{2}\\
h=2
\end{cases}

now.. for the surface area of the prism... well

is really just 6 rectangles stacked up to each other at the edges

so... get the area of the lateral rectangles, and the one at the bottom, skip the rectangle atop, because is the one overlapping the cylinder, and is not outside, and thus is not surface area then

for the lateral ones, you have a front of 1x1, a back of 1x1 and a left of 1x2 and a right of 1x2, and then the one at the bottom, which is a 1x2

then add both surface areas, and that's the surface area of the trunk

5 0
3 years ago
What is the volume of the portion of the aquarium without water in it? 111 cm³ 14,000 cm³ 32,200 cm³ 46,200 cm³
Talja [164]

Answer:

92511cm3

Step-by-step explanation:

3 0
3 years ago
Suri solved the equation x squared = 49 and found that x=7. What error did Suri make?
Anastaziya [24]

Answer:

x = \frac{+}{-} 7

Step-by-step explanation:

x^{2} = 49

\sqrt{49} can equal 7 or -7

7 x 7 = 49.  -7 x -7 = 49

7 0
3 years ago
When the side of a square is decreased in length by 1 foot, its area is 8 ft2. The length of a side of the square is 1 + 2.
NemiM [27]

Answer:TRUE

Step-by-step explanation:

6 0
3 years ago
in a particular class of 26 students , 11 are men . what fraction of the students in the class are women
vitfil [10]

Step-by-step explanation:

woman = total students - men

= 26 - 11

=15

for fraction of woman , you take the 15(woman) over the total of people in the class,26.

Therefore your answer is 15 over 26

4 0
4 years ago
Read 2 more answers
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