Someone help me with this pleaseeee!!!! I need help ASAP pleasee!!!

Mathematics

1 answer:

Katen [24]1 year ago

7 0

Answer:

192 cm^3

Step-by-step explanation:

base area = side^2 = 8^2 = 64 cm^2

V = (base area x height)/3 = (64 x 9)/3 = 192 cm^3

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Find the value of x. round your answer to the nearest tenth.

Yakvenalex [24]

9514 1404 393

Answer:

x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

Tan = Opposite/Adjacent

tan(58°) = 22/x

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Here is a tunnel for a toy train.

jonny [76]

The <em>total</em> area of all six faces of the tunnel is $614.197\pi$ square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid ( $A$ ) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

$A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)$