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3 years ago

What interval contains a positive solution to the equation 0.2x^2-0.8x=1.6

Mathematics

1 answer:

daser333 [38]3 years ago

5 0

Step-by-step explanation:

0.2x² − 0.8x = 1.6

Multiply both sides by 5.

x² − 4x = 8

Complete the square by adding 4 to both sides.

x² − 4x + 4 = 12

(x − 2)² = 12

x − 2 = ±√12

x = 2 ± √12

The positive solution is x = 2 + √12 ≈ 5.46.

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BabaBlast [244]

The expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$ . The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

<h3>Calculating Volume </h3>

From the question, we are to determine the expression that represents the volume of the composite figure

The composite figure consist of a cylinder and a cone

∴ Volume of the composite figure = Volume of the cylinder + Volume of the cone

Volume of a cylinder = $\pi r^{2} h$

Where r is the radius

and h is the height of the cylinder

Volume of a cone = $\frac{1}{3} \pi r^{2} h$

Where r is the radius

and h is the height of the cone

Consider the composite figure

For the cylinder part

r = 5

h = 13

For the cone part

r = 5

h = 25 - 13 = 12

Thus,

Volume of the composite figure = $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Hence, the expression that represents the volume of the composite figure is $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$ . The correct option is the third option $\pi (5^{2})(13) + \frac{1}{3} \pi (5^{2})(12)$

Learn more on Calculating volume here: brainly.com/question/16703501

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