According to he analysis thx for the points
Answer:
See the attached figure which represents the problem.
As shown, AA₁ and BB₁ are the altitudes in acute △ABC.
△AA₁C is a right triangle at A₁
So, Cos x = adjacent/hypotenuse = A₁C/AC ⇒(1)
△BB₁C is a right triangle at B₁
So, Cos x = adjacent/hypotenuse = B₁C/BC ⇒(2)
From (1) and (2)
∴ A₁C/AC = B₁C/BC
using scissors method
∴ A₁C · BC = B₁C · AC
Xy=yz: if you divide each side by y, you get: xy/y=yz/y; so x=z.
Since x=z, if you multiply both variables by the same number, they will still equal. Let this number be y: xy=zy.
Hope this hels! :)
Let number of caps =x
charge of one cap =$6
charge of x caps =6x
shipping fee =$25
total budget =$1000
let us make an inequality equation here,
Since amount cannot be greater than 1000 , so
25+6x ≤1000
6x≤975
x≤162.5
rounding off ,
x≤163
So she can buy maximum 163 caps