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ElenaW [278]
2 years ago
13

Find the exact value of sec 330° in simplest form with a rational denominator.

Mathematics
2 answers:
Juli2301 [7.4K]2 years ago
8 0

Answer:

\implies \sec 330^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}

Step-by-step explanation:

<u>Given :- </u>

  • \sec 330^o

And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,

\implies \sec (360^o-\theta)= \sec\theta

<u>Using this , </u>

\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o

And the value of sec 30° is ,

\implies \sec 30^o = \dfrac{2}{\sqrt3}

And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,

\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}

<u>Hence the required answer is 2√3/3.</u>

Levart [38]2 years ago
7 0

Answer:

2√3/3

Step-by-step explanation:

Sec(330°)

=1/cos(330°)

=1/√3/2 (since Cos (330°)=√3/2

=1×2/√3

=2/√3×√3/√3

=2√3/3

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snow_tiger [21]

Answer:

1.6m

Step-by-step explanation:

The length of the blade is 3.2m

The angle which the blade makes is 30°

Assuming the path of the blade and the length it covers is a right-angled triangle,

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See attached document for better illustration.

Using SOHCAHTOA,

Sinθ = opposite / hypothenus

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θ = 30°

Sin30 = x / 3.2

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X = 3.2 × 0.5

X = 1.6m

The path which the snow plough clears is 1.6m

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3 years ago
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kolbaska11 [484]

Answer:

Each would equal 10 lbs.

Step-by-step explanation:

60 pounds all together is the weight of 6 boxes, so if you divide 60 by 6, you'll get 10 lbs for each box.

5 0
2 years ago
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Answer:

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Answer correctly
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6w-10 represents the total amount of fence will need to complete the rectangle of fence in his yard. The fence will need two lengths and 2 widths to complete the rectangle. If the width is w, and the length is 2w-5, then the total for the rectangle would be w+w+2w-5+2w-5 which simplifies to 6w-10.

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