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Irina-Kira [14]
3 years ago
12

Write your answer in simplest radical form​

Mathematics
1 answer:
Ad libitum [116K]3 years ago
6 0

Answer:

n = 8√2

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 60°

Opposite = 4√6

Hypothenus = n =?

The value of n can be obtained by using the sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = 4√6 / n

√3/2 = 4√6 / n

Cross multiply

n × √3 = 2 × 4√6

n × √3 = 8√6

Divide both side by √3

n = 8√6 / √3

Rationalise

n = 8√6 / √3 × (√3/√3)

n = 8√(6×3) / 3

n = 8√18 / 3

Recall

√18 = √(9×2) = √9 × √2 = 3√2

Thus,

n = 8√18 / 3

n = 8 × 3√2 / 3

n = 8√2

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Answer:

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2 years ago
A piece of wire measuring 20 feet is attached to a telephone pole as a guy wire. The distance along the ground from the bottom o
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Explanation:

Since we have given that

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Now, it forms  a right angle triangle so, we can apply "Pythagorus theorem".

H^2=B^2+P^2\\\\20^2=x^2+(x+4)^2\\\\400=x^2+x^2+8x+16\\\\400=2x^2+8x+16\\\\400=2(x^2+4x+8)\\\\200=x^2+4x+8\\\\x^2+4x-192=0\\\\x^2+16x-12x-192=0\\\\x(x+16)-12(x+16)=0\\\\(x+16)(x-12)=0\\\\x=-16\ and\ 12

But height cant be negative so, height will be 12 feet.

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8 0
3 years ago
What is the sum of the first five terms of a geometric series with a = 10 andr<br> = 1/5?
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Answer:

12.496

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Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.

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Substituting these values into the equation above, we have;

Sn = 10(1-(0.2)^5)/1-0.2

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3 years ago
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Step-by-step explanation:

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