3 years ago

Find x and TU Show all the work

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

x = 10

TU = 24

Step-by-step explanation:

To find the value of x, we use the trapezoid mid-segment theorem

The sum of the lengths of the two parallel sides is equal to twice the length of the mid segment

Mathematically, we have this as;

2(2x+ 4) = 2x-4 + 3x + 2

4x + 8 = 5x - 2

5x -4x = 8 + 2

x = 10

TU = 2x + 4 ; = 2(10) + 4 = 20 + 4 = 24

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38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t

svetoff [14.1K]

1. The surface area of a cone S is S= $\pi r^{2}+ \pi rl$ , where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

$l^{2}= OC^{2}+ OB^{2}$
$l^{2}= 12^{2}+ 62^{2}=144+3844=3988$

$l= \sqrt{3988}=63.15$

3.

$A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15
$
$= 452.16+2379.492 =2831.652 ( m^{2} )$

$= 452.16+2379.492 =2831.652 ( m^{2} )$

4. The answer is C