The radius of this circle is (B) 4.9 cm.
<h3>
To find the radius of the circle:</h3>
To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
- length of an arc = 18cm
- angle = 7/6π rads
- π= 3.14
Length of an Arc:
The formula for the length of an arc is given:
θ/360 × 
Let's substitute the values and solve:
From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
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Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm
a.
Let
5x = number of games won
2x = number of games lost
The total number of win and lose is 154. So
5x + 2x = 154
Solving for x,
7x = 154
x = 22
Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.
b.
Let
6x = first side of the triangle
7x = second side of the triangle
9x = third side of the triangle
The perimeter of a triangle is the total of all sides. So,
6x + 7x + 9x = 88
22x = 88
x = 4
Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36
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We need to write equation for both mandy and bill on how many books they read depending on how many months passed.
Mandy's equation:
16 + 2x
she starts with 16 read books and she reads 2 books each month which is in total 2*x where x is number of months
Bill's equation:
4x
because from table we can see he is reading 4 new books each month.
now we need to make those 2 equations equal to eachother and solve for x because we want to see after how many months both will read the same that is why we set them equal.
16 + 2x = 4x
16 = 2x
x = 8
That means that in december he will catch her (if i counted months correctly :) )
Answer:
100(1.8) – 1.2x > 100
Step-by-step explanation:
Just took the assessment :)
