Answer:
32
Step-by-step explanation:
We let the length of the square be l, the diagonal be z and the area be A.
Then by Pythagoras theorem;
The are of a square of length l is given as;
Combining these two equations yields;
Next, we have been given;
We are required to find;
when z = 4
By chain rule;
Differentiating with respect to z yields;
Therefore,
= 8z
When z is 4m the area of the square will be increasing at a rate of;
8m/min * 4m = 32
Answer:
Step-by-step explanation:
a. (-6/2)*(1/3)*(36/2)=-18; b. (125/100)*(-2/2)
27° you have to end up at 180° so all of the numbers including 27 equal to 180
The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.
<h3>What is the quadratic equation behind two circular sections of equal area?</h3>
Herein we have two <em>circular</em> sections of equal area, whose expressions are described by the following geometric equations:
Semicircle
A = 0.5π · x² (1)
Half Semicircle
A = 0.25π · (x + 2)² (2)
By equalizing (1) and (2):
0.5π · x² = 0.25π · (x + 2)²
2 · x² = (x + 2)²
2 · x² = x² + 4 · x + 4
x² - 4 · x - 4 = 0
x² - 4 · x + 4 = 8
(x - 2)² = 8
x - 2 = ±√8
x = 2 ± √8
x = 2 ± 2√2
x = 2 · (1 ± √2)
x = 2 · (1 ± 1.41)
x₁ = 2 · 2.41 ∨ x₂ = 2 · (- 0.41)
x₁ = 4.82 ∨ x₂ = - 0.82
The values of x are x₁ ≈ 4.8 and x₂ ≈ - 0.8.
To learn more on quadratic equations: brainly.com/question/17177510
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