Two similar hexagons have corresponding heights of 3 m and 4 m. If the area of the smaller hexagon is 13 m2, what is the area of the larger hexagon? (Round your answer to one decimal place.)

Question

sydneyyhall sydneyyhall

23-06-2017
Mathematics

contestada

Two similar hexagons have corresponding heights of 3 m and 4 m. If the area of the smaller hexagon is 13 m2, what is the area of the larger hexagon? (Round your answer to one decimal place.)

Respuesta :

Otras preguntas

What issues did Lincoln and Davis most strongly disagree?

Which statement about impeachment under the U.S. Constitution is true? a. The Senate acts as jury in the trial of a government official accused of serious misco

which of these early american civilizations was largely nomadic?

Name the property used to make the conclusion. If x=y and y=4, then x=4.

Quadrilateral ABCD has vertices A(6,-3), B(8,-1), C(3,-1), and D(1,-3). Quadrilateral WXYZ has vertices W(1,6), X(2,7), Y(-1,7), and Z(-2,6). Which is true rega

What conditions fostered the rise of absolute monarchs in Europe?

What were the differences between the Middle Ages and the Renaissance in the attitude toward worldly pleasures?

twisted perspective is

what percent of 150 is 75

Which statement accurately describes how World War II began? a. The Soviet Union attacked Germany; Japan and Poland declared war on the Soviet Union. b. The Uni

jdoe0001 jdoe0001 · Answer 1 · 2017-06-23T23:59:55+02:00

[tex]\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} \\\\ -----------------------------\\\\[/tex]

[tex]\bf \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}}\\\\ -------------------------------\\\\ \cfrac{smaller}{larger}\qquad \cfrac{3}{4}=\cfrac{\sqrt{13}}{\sqrt{a}}\implies \cfrac{3}{4}=\sqrt{\cfrac{13}{a}}\implies \left( \cfrac{3}{4} \right)^2=\cfrac{13}{a} \\\\\\ \cfrac{3^2}{4^2}=\cfrac{13}{a}\implies \cfrac{9}{16}=\cfrac{13}{a}\implies a=\cfrac{16\cdot 3}{9}[/tex]