Answer:
Step-by-step explanation:
The length of the arc is proportional to the degree measure it in encompasses. Since there are 360 degrees in a circle and the arc is 120 degrees, the arc's length will be 
of the circle's length (circumference).
The circumference of a circle is given by 
, where 
is the radius of the circle. Therefore, the circumference of the circle is 
. As we found earlier, the length of the arc is 
of this circumference. Therefore, the arc's length is 
.
To the nearest integer, this is 
.
Graph 1 would be the answer
Answer:- The smaller integer is -5.
Explanation:-
Let the first consecutive integer be x and the second consecutive integer be x+1.
According to the given question:-
x+6(x+1)= -29
⇒x+6x+6= -29 [distributive law]
⇒x+6x= -29-6 [subtract 6 on the both sides]
⇒7x= -35 [combining like terms ]
⇒x= -5 [dividing 7 on both sides]
Thus the smaller integer =x= -5
larger integer =x+1= -5+1= -4
We shall first of all, convert all the numbers to the same base. This means we either;
Convert the fractions to decimals OR
Convert the decimals to fractions
Let us therefore convert the decimals to fractions.
Answer: 10
<u>Step-by-step explanation:</u>
varies directly means: 
Step 1: solve for k ⇒ 
Step 2: plug in the given value and k to solve for the missing value: 
42(5) = 21(x)
2(5) = x
10 = x
