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ale4655 [162]
3 years ago
12

Question 4 of 10

Mathematics
1 answer:
Rus_ich [418]3 years ago
7 0

Answer:

LA = 2πrh

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top

LA = 2πrh

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Answer:

<h2><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em></h2>

Step-by-step explanation:

<h3><em><u>To</u></em><em><u> </u></em><em><u>Find</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • Value of x

<h3><em><u>Given</u></em><em><u>:</u></em><em><u>-</u></em></h3>
  • 46° and (5x - 1)° are complementary angles

<h3><em><u>Solution</u></em><em><u>:</u></em><em><u>-</u></em></h3>

As we know,

Complementary angles:

The angles whose sum results to 90° are known as the <em><u>complementary</u></em><em><u> </u></em><em><u>angles</u></em><em><u>.</u></em><em><u> </u></em>

So,

46° + (5x - 1)° = 90°

  • <em>[</em><em>Since</em><em> </em><em>complementary</em><em> </em><em>angles</em><em>]</em>

=> 46 + 5x - 1 = 90

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 45 + 5x = 90

  • <em>[</em><em>On</em><em> </em><em>subtracting</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>45</em><em>]</em>

=> 45 + 5x - 45 = 90 - 45

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> 5x = 45

  • <em>[</em><em>On</em><em> </em><em>dividing</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>5</em><em>]</em>

=  >  \frac{5x}{5}  =  \frac{45}{5}

  • <em>[</em><em>On</em><em> </em><em>Simplification</em><em>]</em>

=> x = 9

<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>required</u></em><em><u> </u></em><em><u>value</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>9</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>

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