The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H
<h3>How to determine the equation?</h3>
The parameters in the question are:
- Logo: Rectangle
- Height, H = 3 1/10 feet
Represent the area of the logo with A, and L represents the unknown side
The area (A) of the rectangle is calculated using:
A = H * L
Substitute 3 1/10 for H
A = 3 1/10 * H
Express the fraction as decimal
A = 3.1H
Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H
Read more about areas at:
brainly.com/question/24487155
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Surface area of box=1200 cm²
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
= the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>
<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>
by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>
<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000
v=4000</span>
Captain has $30 money
Flame has $20 +$5 =$25
difference =30-25=5
Captain has $5 more money
Answer:
16 x 6 divided by 2 is 48
First add the two bases together whenever you're trying to find the area of a trapezoid then multiply it by the height and multiply by it by 1/2 (which basically you divide by 2).
