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lora16 [44]
3 years ago
13

Free points: this is because of all the kindness I have seen on brainly:

Mathematics
1 answer:
yarga [219]3 years ago
4 0

Answer:

Step-by-step explanation:

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Cos (5π/3)

Cos (π/6)I think this one

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A triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3". Find the radius of a circle w
shusha [124]

The radius of a circle with the same vertex as a center is 12 units

<h3>Application of Pythagoras theorem;</h3>

To get the radius of the circle, we need to determine the diameter of the circle first:

According to SOH CAH TOA:

sin\theta = \frac{opp}{hyp} \\sin60 = \frac{12\sqrt{3}}{hyp} \\hyp =\frac{12\sqrt{3}}{sin60} \\hyp =\frac{2\times12\sqrt{3}}{\sqrt3}} \\hyp = 24 = diameter

Determine the radius of the circle

Radius = dismeter/2

Radius = 24/2

Radius = 12

Hence the radius of a circle with the same vertex as a center is 12 units

Learn more on radius of a circle here: brainly.com/question/24375372

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1 year ago
At a local river there were 48 alligators laying on the riverbank. if 5/6of the alligators were sleeping how many were awake
qaws [65]
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3 years ago
What is the measure of &lt;R? ​
Verdich [7]

Answer:

<R=23°

Step-by-step explanation:

The sum of angles in a triangle is 180°

So, <R + <S + <T = 180°

<R+90°+67°=180°

<R+157°=180°

<R=23°

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