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Pani-rosa [81]
3 years ago
9

In the right triangle shown, m ∠ A = 30 ° m∠A=30°m, angle, A, equals, 30, degree and A B = 12 3 AB=12 3 ​ A, B, equals, 12, squa

re root of, 3, end square root. 30 ° 30° x x 12 3 12 3 ​ C C A A B B How long is A C ACA, C?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

AC = 18

Step-by-step explanation:

Given the question:

<em>In a right triangle, m∠A = 30° and AB = 12√3 (AB is the hypotenuse). How long is AC?</em>

Side AC is adjacent to angle A. Then, by definition of cosine:

cos(A) = adjacent/hypotenuse

cos(A) = AC/AB

AC = cos(A)*AB

AC = cos(30°)*12√3

AC = 18

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What is the range of possible values for x?
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The minimum value for 2x is 0 
<span>the maximum value is achieved when A, D and C are collinear and the quadrilateral ABCD becomes an isosceles triangle ABC </span>
<span>base AB = 52 and vertical angle 2x + 34° </span>

<span>For the sine law </span>
<span>(sin 2x)/22 = (sin ADB)/AB </span>
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<span>(sin 2x)/22 = (sin 34°)/30 </span>

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<span>0 < x < 12.1°</span>
7 0
3 years ago
The formula V=Bh, where B represents the area of the base, can be used to find the volume of a cylinder. Which formula is equiva
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7 0
3 years ago
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