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Answer:
102.2
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Standard for of quadratic equation:</u>
<u>We have </u>
<u>Sum of the roots </u>
- x₁ + x₂ = - b/a = -(-5)/2 = 2.5
<u>Product of the roots </u>
<u>We have:</u>
<u>The square of the above is:</u>
- (x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂
<u>Substitute known values and solve for c:</u>
- 0.25² = (2.5)² - 4(c/2)
- 2c = 6.25 - 0.0625
- 2c = 6.1875
- c = 3.09375
Answer:
4.78 cm
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)πr²h. Here, V = 31.254 cm³ and r = 2.5 cm.
We begin by solving V = (1/3)πr²h for the unknown height, h:
31.254 cm³ 3(31.254 cm³) 93.762 cm³
h = ------------------------ = -------------------------- = -------------------- ≈ 4.78 cm
(1/3)πr² π(2.5 cm)² 19.635 cm²
0.09 Is The Answer! Hope I Helped!