Answer:
.44 or 11/25
Step-by-step explanation:
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
#SPJ1
Let u be the number of used cars and n the number of new cars, then u+n=17.
Sales values: 7000u+16000n=191000; so 7u+16n=191.
Since n=17-u, we can rewrite this: 7u+16(17-u)=191.
7u+272-16u=191, 9u=272-191=81 and u=9. So 9 used cars were sold (8 new).
Answer: -13
Step-by-step explanation: Think of it as 5+8 because they are both negative, then add the minus symbol.
Tom has to grow 20% in order to become 48 inches tall.
