Answer:
15 cm.
Step-by-step explanation:
It is given that,
Central angle 
Arc length = 33 cm
Formula for arc length :
where, s is arc length, r is radius and 
is central angle in radian.
Substitute s=33 and 
in the above formula.
Multiply both sides by 10.
Divide both sides by 
.
Put 
Therefore, the radius of the circle is 15 cm.
Answer:
720 pennies
Step-by-step explanation:
Initially the Penny bank is 1/2 full
After removing 120 pennies it is 1/3 full;
Therefore. the fraction equivalent to 120 pennies is;
1/2 -1/3 = 1/6
Thus; Assuming the number of pennies that the penny bank can hold when full is x; then;
1/6 of x = 120
x = 120 × 6
= 720 pennies
Hence, when the penny bank is full it can hold 720 pennies.
Answer:
$37.42 / kg
Step-by-step explanation:
Divide 16.99 by 454 to get the unit cost per gram. This equals 0.037422907…
Take this number and multiply it by 1000, while rounding it to the nearest hundredth after.
This equals about $37.42 / kg.
Answer:
x=1.714285714 or x=1.71
Step-by-step explanation:
Distribute 8 to x and 8 (8x+64)
Get rid of -13x on the other side of the equation by doing +13x to both sides.
That should leave you with 21x+64=100.
Subtract 64 from both sides of the equation.
21x=36
Divide 21 from both sides which will leave you with the answer as a long decimal so round it.
x=1.71
