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3 years ago

What is the value of x?

Mathematics

2 answers:

goldenfox [79]3 years ago

6 0

Answer:

6 sqrt(3) = x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 60 = x/12

12 sin 60 =x

12 ( sqrt(3)/2) =x

6 sqrt(3) = x

Lady bird [3.3K]3 years ago

5 0

Answer:

x=6 $\sqrt{3}$

Step-by-step explanation:

take 60 degree as reference angle

using sin rule

sin 60=opposite/hypotenuse

$\sqrt{3$ /2=x/12

do cross multiplication

2*x=12* $\sqrt{3}$

x=12 $\sqrt{3}$ /2

x=6 $\sqrt{3}$

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<h3><u>Question:</u></h3>

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<h3><u>Solution:</u></h3>

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The base of cylinder A has a circumference of $4 \pi$ units

The base of cylinder B has an area of $9 \pi$ units

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From given question,

Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B

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$\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }$

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Given that base of cylinder A has a circumference of $4 \pi$ units

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Given that, the base of cylinder B has an area of $9 \pi$ units

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Thus the dimension of cylinder B is radius = 3 units

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Thus dimensions of cylinder A are multiplied by $\frac{3}{2}$ to produce the corresponding dimensions of cylinder B

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