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Alja [10]
3 years ago
7

Find volume with full working out asap pls

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer: 46.857,76 Centimeter cubed

Step-by-step explanation:

The decision on a photo

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How do you solve his with working
AlexFokin [52]
Check the picture below.

a)

so the perimeter will include "part" of the circumference of the green circle, and it will include "part" of the red encircled section, plus the endpoints where the pathway ends.

the endpoints, are just 2 meters long, as you can see 2+15+2 is 19, or the radius of the "outer radius".

let's find the circumference of the green circle, and then subtract the arc of that sector that's not part of the perimeter.

and then let's get the circumference of the red encircled section, and also subtract the arc of that sector, and then we add the endpoints and that's the perimeter.

\bf \begin{array}{cllll}
\textit{circumference of a circle}\\\\ 
2\pi r
\end{array}\qquad \qquad \qquad \qquad 
\begin{array}{cllll}
\textit{arc's length}\\\\
s=\cfrac{\theta r\pi }{180}
\end{array}\\\\
-------------------------------

\bf \stackrel{\stackrel{green~circle}{perimeter}}{2\pi(7.5) }~-~\stackrel{\stackrel{green~circle}{arc}}{\cfrac{(135)(7.5)\pi }{180}}~+
\stackrel{\stackrel{red~section}{perimeter}}{2\pi(9.5) }~-~\stackrel{\stackrel{red~section}{arc}}{\cfrac{(135)(9.5)\pi }{180}}+\stackrel{endpoints}{2+2}
\\\\\\
15\pi -\cfrac{45\pi }{8}+19\pi -\cfrac{57\pi }{8}+4\implies \cfrac{85\pi }{4}+4\quad \approx \quad 70.7588438888



b)

we do about the same here as well, we get the full area of the red encircled area, and then subtract the sector with 135°, and then subtract the sector of the green circle that is 360° - 135°, or 225°, the part that wasn't included in the previous subtraction.


\bf \begin{array}{cllll}
\textit{area of a circle}\\\\ 
\pi r^2
\end{array}\qquad \qquad \qquad \qquad 
\begin{array}{cllll}
\textit{area of a sector of a circle}\\\\
s=\cfrac{\theta r^2\pi }{360}
\end{array}\\\\
-------------------------------

\bf \stackrel{\stackrel{red~section}{area}}{\pi(9.5^2) }~-~\stackrel{\stackrel{red~section}{sector}}{\cfrac{(135)(9.5^2)\pi }{360}}-\stackrel{\stackrel{green~circle}{sector}}{\cfrac{(225)(7.5^2)\pi }{360}}
\\\\\\
90.25\pi -\cfrac{1083\pi }{32}-\cfrac{1125\pi }{32}\implies \cfrac{85\pi }{4}\quad \approx\quad 66.75884

7 0
3 years ago
There are 3 in. of snow on the ground when it begins to snow 0.5 in./h . Which linear equation represents the total depth of the
dexar [7]

There are 3 in. of snow on the ground when it begins to snow 0.5 in./h.

Initial depth of snow = 3 in.

it begins to snow 0.5 in./h. The constant rate of snow is 0.5. So slope = 0.5

Let x be the number of hours

y be the total depth of the snow

To frame linear equation we use y=mx+b

where m is the slope and b is the y intercept (initial depth of snow)

We know m=0.5  and b=3

Replace it in the equation

y = 0.5x + 3

The linear equation that represents the total depth of the snow(y), in inches, after x hours

is y= 0.5x + 3


7 0
3 years ago
Read 2 more answers
Marcia is building a doghouse and needs to cut plywood for the roof. Plywood comes in sheets that are 48
djverab [1.8K]

Answer:

A,24ft

Step-by-step explanation:

you have 48^2ft and Marcia needs two squares that are each 12^2ft,

12+12=24

48-24=24

                                                            answer=24ft

8 0
2 years ago
What are the 2 criteria a linear graph must have to be proportional?
NNADVOKAT [17]
A graph of a proportional relationship is a straight line that passes through the origin. The constant of a proportionality in a graph of a proportional relationship is the constant ratio of y to x (the slope of the line).
5 0
2 years ago
Read 2 more answers
Need help asap!
Ira Lisetskai [31]
Answers

1. Solve inside bracket first

7x^2+4x-26+7x^2+3x-15

= (14x^2+7x-41) Answer

2. 5x(6x^2+3x+7)-1(6x^2+3x+7)
= 30x^3+15x^2+35x-6x^2-3x-7
= (30x^3+9x^2+32x-7) Answer
6 0
3 years ago
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