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2 years ago

Answer choices:A. 604.1 cm2B. 398.5 cm2C.575.3 cm2D. 287.6cm2

Mathematics

1 answer:

finlep [7]2 years ago

5 0

Answer:

D. 287.6 cm²

Step-by-step explanation:

» <u>Concept</u>

The lateral surface area of a 3D figure is the surface area of the solid, excluding the <u>bases</u>. For a cylinder, the bases are the two circles on top and bottom. The formula to find the LSA of a cylinder is 2πrh, where r = radius of the circle and h = height.

» <u>Application</u>

We are asked to find the lateral surface area of the cylinder given the radius as 4.2 cm and the height as 10.9 cm.

» <u>Solution</u>

$(2)(3.14)(4.2)(10.9)$
$6.28*45.78$
$287.4984$

Now, as you can see, the closest answer choice to 287.4984 is D. 287.6 cm².

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Step-by-step explanation:

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<h2>Explanation:</h2>

We have the following inequality:

$y \leq \frac{2}{7}x+1$

So the first step we need to perform is to plot the line:

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$If \ x=0 \\ \\ y=\frac{2}{7}(0)+1 \\ \\ y=1 \\ \\ \\ If \ y=0: \\ \\ 0=\frac{2}{7}(x)+1 \\ \\ x=-\frac{7}{2}=-3.5$

So the line passes through the points:

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To find the shaded region, let us take a point, namely, the origin and test it in the inequality:

$y \leq \frac{2}{7}x+1 \\ \\ 0\leq \frac{2}{7}(0)+1 \\ \\ 0\leq 1 \ True!$

Since this is true, then the shaded region includes this point. This is shown below and <em>as you can see the solutions exist in all four quadrants.</em>

<h2>Learn more:</h2>

Inequalities: brainly.com/question/12890742

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