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11111nata11111 [884]
3 years ago
10

G−9=−19 What does g=???

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
5 0

Answer:

g=-19+9

g=-10

Step-by-step explanation:

Dafna1 [17]3 years ago
4 0
G=10

19-9=10
Therefore g =10
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Equilateral triangle ABC has an area of \sqrt{3}√ ​3 ​ ​​ . If the shaded region has an area of \piπK − \sqrt{3}√ ​3 ​ ​​ , what
Liono4ka [1.6K]

Answer:

The value of k = 4/3

Step-by-step explanation:

* Lets explain how to solve the problem

- An equilateral triangle ABC is inscribed in a circle N

- The area of the triangle is √3

- The shaded area is the difference between the area of the circle

  and the area of the equilateral triangle ABC

- The shaded are = k π - √3

- We need to find the value of k

* <u><em>At first lets find the length of the side of the Δ ABC</em></u>

∵ Δ ABC is an equilateral triangle

∴ Its area = √3/4 s² , where s is the length of its sides

∵ The area of the triangle = √3

∴ √3/4 s² = √3

- divide both sides by √3

∴ 1/4 s² = 1

- Multiply both sides by 4

∴ s² = 4 ⇒ take √ for both sides

∴ s = 2

∴ The length of the side of the equilateral triangle is 2

* <u><em>Now lets find the radius of the circle</em></u>

- In the triangle whose vertices are A , B and N the center of the circle

∵ AN and BN are radii

∴ AN = BN = r , where r is the radius of the circle

∵ The sides of the equilateral angles divides the circle into 3 equal

   arcs in measure where each arc has measure 360°/3 = 120°

∵ The measure of the central angle in a circle equal the measure

  of the its subtended arc arc

∵ ∠ANB is an central angle subtended by arc AB

∵ The measure of arc AB is 120°

∴ m∠ANB = 120°

- By using the cosine rule in Δ ANB

∵ AB = 2 , AN = BN = r , m∠ANB = 120°

∴ (2)^{2}=r^{2}+r^{2}-2(r)(r)cos(120)

∴ 4=r^{2}+r^{2}-2(r)(r)(-0.5)

∴ 4=r^{2}+r^{2}-(-r^{2})

∴ 4=r^{2}+r^{2}+r^{2}

∴ 4=3r^{2}

- Divide both sides by 3

∴ r^{2}=\frac{4}{3}

- Take square root for both sides

∴ r = 2/√3

* <u><em>Lets find the value of k</em></u>

∵ Area circle = πr²

∵ r = 2/√3

∴ Area circle = π(2/√3)² = (4/3)π

∵ Area shaded = area circle - area triangle

∵ Area triangle = √3

∴ Area shaded = (4/3) π - √3

∵ Area of the shaded part is π k - √3

- Equate the two expressions

∴ π k - √3 = (4/3) π - √3

∴ k = 4/3

* The value of k = 4/3

7 0
2 years ago
Joshua took a total of 12 "i-Ready" quizzes over the course of 2 weeks. How many weeks of school will Joshua have to attend this
Sergio039 [100]
I think the answer is 2 weeks 6 days because if over the course of 2 weeks they took 12 I ready quizzes  the he needs 18 quizzes and it leaves 1 day extra
7 0
3 years ago
12 (x+1/6) = 8 20 points
Aliun [14]

Answer:

12x + 2

Step-by-step explanation:

12 is multiplyed by both the x and the (1/6) since it is outside the equation.

so 12 times x = 12x since we dont know what x is

and 12 times (1/6) = (12/6) = 2

7 0
2 years ago
The angle of elevation from
weqwewe [10]

Answer:

104.5 ft

Step-by-step explanation:

In the picture I uploaded I showed all of the work so yeah!!! :)

5 0
3 years ago
Please help with a math problem. Please explain how you got the answer
Studentka2010 [4]

Answer:

Their sum is 140.   The measure of an exterior angle is supplementary to the respective interior angle.

Step-by-step explanation:

Since the angle are on a straight line, m2 and 140 sum to 180.

So m2=40. Because a triangle has 180 degrees, m1 and m3 must sum to 140.

The exterior angle is always on the same incline as the interior angle, so it is always supplementary to the interior angle.

7 0
3 years ago
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