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2 years ago

Find X A. 11√3 B. 33 C. 44√2 D. 33√2

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

5 0

Answer:

B. 33

Step-by-step explanation:

The side opposite the 45° angle has measure 11√6×sin(45°). The side opposite the 60° angle has measure tan(60°) times that, so we have ...

x = 11√6×sin(45°)×tan(60°) = 11√6×(√2/2)×√3 = 11×(√6)²/2

x = 33

_____

The mnemonic SOH CAH TOA can be a useful reminder of the definitions of the trig functions. It tells you ...

Sin = Opposite/Hypotenuse

Tan = Opposite/Adjacent

Using these relations, we can find the sides of interest:

Opposite = Hypotenuse × Sin . . . . for the 45° triangle

Opposite = Adjacent × Tan . . . . . . for the 60° triangle

where the side opposite the 45° angle is the side adjacent to the 60° angle.

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Find the missing dimension of the prism. Round your answer to the nearest hundredth.

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Answer:

$x = 6.99in$

Step-by-step explanation:

Given

$l =2in$

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See attachment for prism

Required

Find x

The prism has a regular hexagon base

The base area is calculated as:

$Base\ Area= \frac{3\sqrt 3}{2}l^2$

This gives:

$Base\ Area= \frac{3\sqrt 3}{2} * 2^2$

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2 years ago

In what situation might you have to calculate the surface area of volume of a solid?

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The surface area is handy to figure out how much material is needed to cover the outer surface. This material can be paint, paper, metal sheets, or whatever you can think of really. A good example is wrapping a present and the assumption is that there is no overlap.

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