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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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Which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
sasho [114]

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

<h3>How to determine the point?</h3>

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

Read more about functions and relations at:

brainly.com/question/2328150

#SPJ1

6 0
2 years ago
Pls provide an explanation if possible
mote1985 [20]

Answer:

6661 divided by 2

Step-by-step explanation:

idrk

4 0
3 years ago
Read 2 more answers
I NEED HELP BEFORE 10:00 A.M!
s344n2d4d5 [400]

Answer:

A. = 20 in²

B. =  45 ft²

C. = 29.5 ft²

D. = 36 ft²

E. = 28 ft²

Step-by-step explanation:

A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²

B. We have a rectagnle and a triangle:  Formula: A = lw

=  A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²

30 ft²+15 ft² = 45 ft²

C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²

Second rectangle: 5 ft x 4 ft = 20 ft²

Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²

Add it all together:  2ft²+20ft²+7.5ft² = 29.5 ft²

D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²

the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²

E. is a right-angled triangle (see fromula above) =  (14 ft x 4 ft)/2 = 28ft²

7 0
3 years ago
Someone help me! i need the answerrr!
blsea [12.9K]
Domain and range are both All real numbers aka (negative infinity, positive infinity)
3 0
3 years ago
1. Solve the equation. (1 point)<br> 5x-1= 14
Rufina [12.5K]

Answer: x = 3

Step-by-step explanation:

5x - 1 + 14 - original equation

5x = 15 - add 1 to both sides

x = 3 - divide both sides by 5

4 0
2 years ago
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