The length of an arc subtended by a central angle is proportional to the circle's circumference. If the given central angle has measure 
and the circle has radius 
, then the arc has length 
such that
where is given in radians. Then
If is given in degrees, then
Answer:
bottom right 8 x 10^1
Step-by-step explanation:
multiply the numbers (2x4 is 8)
add the exponents of 10 (-3+4 is 1)
so the answer is the bottom right 8 x 10^1
Answer:
See explanation
Step-by-step explanation:
Maximum weight = 20 kg
Bag 1 = 3.5kg
Bag 2 = 15 kg
Bag 3 = 2kg
Bag 4 = 1.5kg
Total weight of bags = 22 kg
Excess weight of his luggage = Total weight of bags - Maximum weight
= 22 kg - 20 kg
= 2 kg
Express the excess weight as a percentage of his maximum weight allowed = excess weight / maximum weight × 100
= 2/20 × 100
= 0.1 × 100
= 10%
Express the excess weight as a percentage of his maximum weight allowed = 10%
Answer: 149 cartridges will be sold at 20 dollars per cartridge.
Step-by-step explanation:
Given: The projected sales volume of a video game cartridge is given by the function 
, where <em>s</em> is the number of cartridges sold, in thousands; <em>p</em> is the price per cartridge, in dollars; and <em>a</em> is a constant.
Put s(p)=100000, p= 10, we get
i.e. 
Put p=20, we get
Hence, 149 cartridges will be sold at 20 dollars per cartridge.
Answer:
none of the above
Step-by-step explanation:
p^3 = 125
Rewrite 125 as 5^3
p^3 = 5^3
Take the cube root of each side
(p^3) ^ (1/3) = ( 5^3) ^ (1/3)
p = 3
