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
Answer:
720
Step-by-step explanation:
I will use the following counting principle:
Product rule: if there are n ways of doing something, and m ways of doing another thing, there are n×m ways of doing both things.
First, we have to choose the 3 people that will be in the first row. This is a 3-element subset of the set of six people, therefore there are 
ways of doing this.
Now, we have to arrange the order of the 2 lrows. Each one has 3 people, so there are 3!=6 ways to form one rows. Hence, there are 3!²=36 ways of arranging the two rows.
By the product rule, there are 20×36=720 ways of arrange the officers.
Answer:
Bond Price= $1,070.24
Step-by-step explanation:
Giving the following information:
Cupon= $80
Number of periods= 10 years
Face value= $1,000
Interest rate= 7%
<u>To calculate the price of the bond, we need to use the following formula:</u>
Bond Price= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]
Bond Price= 80*{[1 - (1.07^-10)] / 0.07} + [1,000 / (1.07^10)]
Bond Price= 561.89 + 508.35
Bond Price= $1,070.24
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "15 - 2x ≥ 4y". I hope my answer has come to your help.
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let t represent the time after Tom joined.
number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10
number of potatoes peeled by Tom = 4t
Since they are 64 potatoes, hence:
2t + 10 + 4t = 64
t = 9 minutes
number of potatoes peeled by Tom = 4(9) = 36 potatoes
The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes
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