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2 years ago

What’s the least number of faces a polyhedron can have? And why?

Mathematics

1 answer:

Marysya12 [62]2 years ago

6 0

Answer:

The minimum number of faces a polyhedron can have is 4 faces.

Step-by-step explanation:

We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).

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Consider the following figure:

motikmotik

Answer:

angle <B = 76

Step-by-step explanation:

The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.

We can write the following equation with this information to find the value of angle <B

<B + 71 = 147 subtract 71 from both sides

<B = 76

5 0

1 year ago

Select all of the potential solution(s) of the equation 2log5x = log54.

tankabanditka [31]

Answer:

-2 and 2

Step-by-step explanation: just did the problem

4 0

3 years ago

Does anyone have any idea on how to do this? I have notes for it but i just don't understand how to get to the answer.. and if t

Igoryamba

yes, i know how to do it

3 0

3 years ago

between 1995 and 2006, the population of samburg, usa(in thousands) can be modeled by f(x) = 0.35x(squared) - 2.1x+15.8 where x=

Juli2301 [7.4K]

$\bf f(x)=0.35x^2-2.1x+15.8\qquad 
\begin{cases}
x=\textit{year since 1995}\\
f(x)=\textit{population amount}
\end{cases}$

the equation is a quadratic one, and it has a positive coefficient on the leading term, meaning, is opening upwards, so it has a "burrow" for the vertex.

the minimum or lowest point for a quadratic opening upwards is, well, the vertex point :), the "x" value is the year, the "y" or f(x) value is the population, we're asked for the year, or the x-coordinate of the vertex

well $\bf \begin{array}{llll}
f(x)=&0.35x^2&-2.1x&+15.8\\
&\quad \uparrow &\quad \uparrow&\uparrow \\
&\quad a&\quad b &c
\end{array}
\\\\

\\\\
\qquad \textit{vertex of a parabola}\\ \quad \\
\qquad 

\left(\boxed{-\cfrac{{{ b}}}{2{{ a}}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right)$

5 0

3 years ago

1. Under absorption costing, how much fixed manufacturing overhead cost is included in the company's inventory at the end of las

Jobisdone [24]

Answer:

$5,200 a fixed manufacturing overhead cost is included in the company's inventory at the end of last year.

Income Statement is Prepared in an MS Excel File Attached With this answer Please find it.

Step-by-step explanation:

Fixed Manufacturing Overhead = Total Fixed manufacturing Overhead x Units in ending inventory / Units produced

Fixed Manufacturing Overhead = 65,000 x 20 / 250 = $5,200

File Attached.

There is a Difference of $5,200 in net operating income between the two costing methods. The amount of fixed asset assigned to closing inventory.

Download xlsx

3 0

3 years ago