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pochemuha
3 years ago
13

Solve algebraically for all values of x

Mathematics
1 answer:
nikitadnepr [17]3 years ago
4 0
1) cross multiply both sides.
3x^2-24= 2x^2+10
x^2-10x-24=0
x^2-12x+2x-24=0
x(x-12)+2(x-12)=0
(x-12) (x+2)=0
Bring -12 and 2 to the other side. Therefore the value of x are 12 and -2.
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. Find the area of the regular dodecagon inscribed in a circle if one vertex is at (3, 0).
devlian [24]

Answer:

Area of the regular dodecagon inscribed in a circle will be 27 square units.

Step-by-step explanation:

A regular dodecagon is the structure has twelve sides and 12 isosceles triangles inscribed in a circle as shown in the figure attached.

Since angle formed at the center by a polygon = \frac{360}{n}

Therefore, angle at the center of a dodecagon = \frac{360}{12} = 30°

Since one of it's vertex is (3, 0) therefore, one side of the triangle formed or radius of the circle = 3 units

Now area of a small triangle = \frac{1}{2}.(a).(b).sin\theta

where a and b are the sides of the triangle and θ is the angle between them.

Now area of the small triangle = \frac{1}{2}.(3).(3).sin30

= \frac{9}{4}

Area of dodecagon = 12×area of the small triangle

= 12×\frac{9}{4}

= 27 unit²

Therefore, area of the regular octagon is 27 square unit.

4 0
2 years ago
A person can pay $8 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum
SOVA2 [1]
10 Bruuh he’s already a member and got $10 so he can go 10 times every time it’ll cost $1
6 0
2 years ago
Read 2 more answers
The value of m <br> 1/6 m + 3 = 5 5/8
Travka [436]
Your answer would be: m = 63/4 in fraction form and m = 15.75 in decimal form.

Hope this helps and happy holidays!!
4 0
2 years ago
What order so these go in?<br><br>(The 10 is included in this)
vekshin1
-3x, -x + 1/2, 2x, 10x if you need anything else feel free to ask. I would like brainliest but if not its ok
4 0
3 years ago
Solve the inequality. Graph the solution set.<br><br> 2r−9≤−6
Ahat [919]
We have that

2r−9≤−6------> 2r ≤ -6+9-------> 2r ≤  3-----> r ≤ 1.5

the solution is the interval  (-∞, 1.5]

using a graph tool
see the attached figure

5 0
3 years ago
Read 2 more answers
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