Answer:
⅛
Step-by-step explanation:
3C3×(½^3)×(½^0)
= ⅛
Replacing for values of a and c in the equation
a=20
c=8
m=4a+2c
m=4(20)+2(8)
m=80+16
m=96
Answer:
radius = 5 units
area of a circle = 15.7units²
Step-by-step explanation:
given that the circumference of a circle = 31.4
radius = ?
recall that the formulae for finding the circumference of a circle = 2πr
circumference of a circle = 2 x 3.14 x r
31. 4 = 6.28r
divide both sides by the coefficient of r which is 6.28
31.4/6.28 = 6.28r/6.28
5 = r
radius = 5 units
therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units
to find the area of the circle
recall the formula = πr²
area of a circle = 3.14 x 5²
area of a circle = 3.14 x 25
area of a circle = 15.7units²
Answer:
True, since 1 is 1/1, which is 100%
<em>Hope that helps! :)</em>
Step-by-step explanation:
2018 is the 70th term of the progression.
Explanation
We start out finding the common difference of the progression:
46-17 = 29
Now we write the explicit formula for the sequence. It is of the form
We set this equal to 2018 to see if the answer is a whole number. If it is, it will be the term number that gives us 2018:
2018=17+29(n-1)
Using the distributive property,
2018=17+29*n-29*1
2018=17+29n-29
Combine like terms:
2018=29n-12
Add 12 to both sides:
2018+12=29n-12+12
2030=29n
Divide both sides by 29:
2030/29=29n/29
70=n
Since n=70, this means 2018 is the 70th term of the sequence.