Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x
= 3
/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
450 g in 2:13
<u>Total proportion asked for </u>=2+13=15
<u>Now comparing g with ratio, or whatever </u>
450/15=30g
Therefore 1 in ratio depicts of 30g
So final answer = ![\boxed{60g : 390g}](https://tex.z-dn.net/?f=%5Cboxed%7B60g%20%3A%20390g%7D%20)
![\huge\mathfrak\colorbox{white}{}](https://tex.z-dn.net/?f=%5Chuge%5Cmathfrak%5Ccolorbox%7Bwhite%7D%7B%7D)
More to know, daily bit of knowledge: The Binomial Theorem:
![\boxed{{(a+b)} ^n= \sum_{k=0}^{n}\binom{n}{k} a^{n-k}b^{k}}](https://tex.z-dn.net/?f=%5Cboxed%7B%7B%28a%2Bb%29%7D%20%5En%3D%20%5Csum_%7Bk%3D0%7D%5E%7Bn%7D%5Cbinom%7Bn%7D%7Bk%7D%20a%5E%7Bn-k%7Db%5E%7Bk%7D%7D)
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
<h3>How to solve the length?</h3>
Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
Learn more about Pythagorean theorem on:
brainly.com/question/654982