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Dmitrij [34]
2 years ago
10

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

ith the same vertex as a center, if the arc in the triangle bisects the area of the triangle.
Mathematics
1 answer:
shusha [124]2 years ago
5 0

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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Answer:

0r

Step-by-step explanation:

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Now 10 - 5 is 5. 5 + 3 is 8. 8 - 8 is 0. tack the r onto the end and you get 0r.

3 0
2 years ago
A circle has a radius of 7 cm. Workout the area of the circle. Give your answer correct to three significant figures.
anastassius [24]

Answer:

πr²=22/7×49

=22×7

=154

hope it helps

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5 0
2 years ago
A homes value increases at an average rate of 5.5% each year the current value it is $120,000 what function can be used to find
likoan [24]
Around this time many people find home prices going up dramatically. Let's start with the X factor. If we know the starting is $120,000, the we know the initial velocity. To find the final but the very simple equation one may use is; P=(120000)^x\0.5


Cheers
3 0
3 years ago
Solve for the variable:
Alexeev081 [22]

Answer:

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Step-by-step explanation:

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-x + 3 < 8 + 4x

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Therefore, answer choice A is the correct answer.

6 0
2 years ago
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mote1985 [20]
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