Step-by-step explanation:
37x + 41y = 70 --- R¹
41x + 37y = 86 --- R²
R¹ + R² : 78x + 78y = 156
78(x + y) = 156
x + y = 2 --- R³
R¹ - R² : -4x + 4y = -16
4(y - x) = -16
y - x = -4 --- R⁴
R³ + R⁴ : 2y = -2
y = -1
R³ - R⁴ : -2x = -6
x = 3
Based on the calculation, the perimeter of the horizontal cross-section is equal to 36.13 cm.
<h3>How to calculate the perimeter?</h3>
In this scenario, the resulting geometrical shape formed when the cut is made at the middle of the height of the trapezoid and then rotated is a circle.
<u>Given the following data:</u>
From the middle, the diameter of this circle is given by:
D = 1/2 (10 + 13)
D = 11.5 cm.
Now, we can calculate the perimeter:
Perimeter = πD
Perimeter = 3.142 × 11.5
Perimeter = 36.13 cm.
Read more on trapezoid here: brainly.com/question/4758162
#SPJ1
Step-by-step explanation:
Cost per pound, c = 25cents
number of cans per pound, n = 100/4 = 25cans
total cans collected, t = 330cans
payment for total cans collected,p
where p = (t/n)×c = (330/25)×25 = 330cents
He will eventually make enough money to buy his car