Find the length of the bold arc. Round to the nearest tenth and use 3.14 or the pi button on your calculator for pi.
1 answer:
Answer:
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as
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Answer:
187.5 feet
Step-by-step explanation:
we know that
Max's bike moves 25 feet after two rotations
so
using proportion
Find out how many feet will the bike move after 15 rotations
Let
x ----> the distance in feet
There are 80 nickels and 120 dimes and 300 quarters in piggy bank
<em><u>Solution:</u></em>
Given that,
For every 2 nickels there are 3 dimes ,
So, ratio of nickel to dime will be 2 : 3
Also for every 2 dimes there are 5 quarters
So, ratio of dime to quarters is 2 : 5
Let us first find the ratio of nickles to dimes to quarters
nickel : dime = 2 : 3
dime : quarters = 2 : 5
So,
Thus nickel : dime : quarters = 4 : 6 : 15
Now, let the number of nickel be 4x
Let the number of dimes be 6x
Let the number of quarters be 15x
From given question,
There are 500 coins in all.
number of nickel + number of dimes + number of quarters = 500
4x + 6x + 15x = 500
25x = 500
x = 20
Thus,
number of nickel = 4x = 4(20) = 80
number of dimes = 6x = 6(20) = 120
number of quarters = 15x = 15(20) = 300
Thus there are 80 nickels and 120 dimes and 300 quarters in piggy bank