Mathematics, 09.09.2020 15:01 piceanav

Si el área de un polígono regular mide aproximadamente 813.75 centímetros cuadrados, sus lados miden 15 cm y su apotema 15.5, ¿de qué polígono se trata?

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Answer from: sandrinedionne7153

Se trata de un polígono de 7 lados, cuyo nombre es heptágono.

Step-by-step explanation:

Un polígono es una figura plana limitada por líneas rectas conectadas que forman una figura cerrada. Los puntos donde dos líneas rectas del polígono se unen son los vértices.

Un polígono es regular si todos los lados y los ángulos son iguales.

El área de un polígono es igual al producto del perímetro por la apotema dividido por dos:

$Area=\frac{Perimetro*Apotema}{2}$

Considerando que el perímetro de un polígono regular se determina como el producto del número de lados por la longitud de uno de los lados, entonces:

$Area=\frac{N*L*Ap}{2}$

donde N es el número de lados del polígono, L la longitud de los lados y Ap el valor de la apotema.

En este caso:

Área: 813,75 cm²N=?L= 15 cmAp= 15.5 cm

Reemplazando:

$813.75 cm^{2} =\frac{N*15 cm*15.5 cm}{2}$

Resolviendo:

$N=\frac{813.75 cm^{2}*2 }{15 cm*15.5 cm}$

N= 7

Se trata de un polígono de 7 lados, cuyo nombre es heptágono.

Answer from: Quest

$y> \frac{1}{3}x$ and y≤ -x +4 .

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be = $\frac{1-0}{3-0} = \frac{1}{3}$ .

y-intercept of dotted line is y=0 only.

plugging slope m= $\frac{1}{3}$ and b=0 in slope-intercept form y=mx+b, we get

$y=\frac{1}{3}x$ .

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

$y> \frac{1}{3}x$ .

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be = $\frac{4-1}{0-3} = \frac{3}{-3}=-1$ .

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

y≤ -x +4 .
Write a system of inequalities to represent the shaded portion of the graph.

Answer from: Quest

4pounds of live bait and 1 pound of natural bait

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Si el área de un polígono regular mide aproximadamente 813.75 centímetros cuadrados, sus lados miden...