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s2008m [1.1K]
3 years ago
5

What is the order of steps to calculate the volume of prime?

Mathematics
1 answer:
Vlad1618 [11]3 years ago
7 0

Answer

V= Base x Height x Width

Step-by-step explanation:

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The area of a regular octagon is 35 cm^2. What is the area of a regular octagon with sides five times as long?
Marat540 [252]
So... let's say the smaller regular octagon has sides of "x" long, then the larger octagon will have sides of 5x.

\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{small}{large}\quad \stackrel{area~ratio}{\cfrac{s^2}{s^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{(5x)^2}}\implies \stackrel{area~ratio}{\cfrac{x^2}{5^2x^2}}\implies \stackrel{area~ratio}{\cfrac{\underline{x^2}}{25\underline{x^2}}}=\stackrel{area~ratio}{\cfrac{35}{a}}
\\\\\\
\cfrac{1}{25}=\cfrac{35}{a}\implies a=\cfrac{25\cdot 35}{1}
3 0
3 years ago
After reading the story “First Day of School,” pick up where the story left off and add a climax, falling action and resolution.
Anit [1.1K]

Although this question asks for original work, and therefore, only you can complete it, we can provide an example to help you guide your work:

<em>"My sister and I said goodbye to mom, and we were ready to finally approach the school and begin one of the most important days of our lives. We were nervous, and worried about whether this year was going to be a good one. I turned around to my sister and asked:</em>

<em>- Are you ready?</em>

<em>- I'm so not ready...</em>

<em>We approached the school, and as we pulled the door, the most delicious smell hit us. It smelled like sweetness, and like a day in the park. We walked in, and what we saw left us in awe.</em>

<em>The school had organized a festival! In order to make the first day of school easier, the morning classes had been cancelled, and we were instead allowed to run and play for a few hours, in order to get to know each other. I saw donuts, corndogs and ice cream. I also saw many kids running around. My sister could not believe her eyes.</em>

<em>- This is the best day ever! - she yelled, while she ran to grab a donut."</em>

In this addition, the conflict is an internal one, as the children feel worried about school. However, this is resolved by the festival that was organized. The climax occurs when the children notice the festival, while the falling action and resolution occur when the children are able to relax and their worries about school disappear.

8 0
3 years ago
Venita is factoring the expression 32ab-ab. She determines the GCF and writes the factored expression as 8b(4a-0) Which best des
Ymorist [56]
A) she incorrectly determined the GCF.

The GCF of 32ab - ab would be ab, not 8b.
7 0
3 years ago
Read 2 more answers
How much time does it take for a squirrel to run 134 meters at a speed of 12 meters per second?
aleksley [76]
11 2/3 seconds at a speed of 12 m/s
4 0
3 years ago
Read 2 more answers
Factor the polynomial.<br> 13x² – 20x – 12
erma4kov [3.2K]

Answer:

(13 x + 6) (x - 2)

Step-by-step explanation:

Factor the following:

13 x^2 - 20 x - 12

Factor the quadratic 13 x^2 - 20 x - 12. The coefficient of x^2 is 13 and the constant term is -12. The product of 13 and -12 is -156. The factors of -156 which sum to -20 are 6 and -26. So 13 x^2 - 20 x - 12 = 13 x^2 - 26 x + 6 x - 12 = x (13 x + 6) - 2 (13 x + 6):

x (13 x + 6) - 2 (13 x + 6)

Factor 13 x + 6 from x (13 x + 6) - 2 (13 x + 6):

Answer: (13 x + 6) (x - 2)

6 0
3 years ago
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