Ok, so if the angle is 120 degrees, its one third of the full cake (which is 360 degrees). So the area of the whole circle (worked out with area = pi * r^2 where r is 30) gives 900*pi, and so one third of that (because her slice is one third) is 300pi.
If you had 4 boxes of cereal and each costs $2.40, the total cost would be $9.60 (2.40×4).
The total cost of the bananas and the cereal cost $10.11. To find how much the 3/4 of bananas cost, simply subtract $9.60 away from $10.11 (10.11-9.6), which gives you $0.51.
The question asks for 1 pound of bananas but you only have the cost of 3/4. So, divide your cost by 3 to give you the cost of 1/4. (0.51÷3), which gives you $0.17.
The last step is to multiply this answer by 4 because 4/4 will result in a whole, or in this case, one pound (0.17×4) and thus gives you the cost $0.68 for one pound of bananas.
(please correct me if I'm wrong, hope this helped c: )
Answer:
Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Step-by-step explanation:
: Mean speed of the new chip is the same as the old chip
: Mean speed of the new chip is greater than the old chip
to calculate the z-statistic we can use the formula:
z=
if we put the numbers then
z=
=4.8171
The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Answer:
8 inches
Step-by-step explanation:
The surface area of a cone (without the base) is given by:
Surface area = pi*r*s
Where r is the base radius and s is the slant height.
The smaller cone has a surface area of 41.6pi in2 and a radius of 6.4 inches, so the slant height is:
41.6pi = pi*r*s
41.6 = 6.4s
s = 6.5 in
If the cones are similar, the radius and the slant height increase in the same proportion, so we have that:
r'/s' = r/s = 6.4/6.5
s' = r'*6.5/6.4
So for the larger cone, we have:
65pi = pi*r'*s'
65 = r'*r'*6.5/6.4
r'^2 = 64
r' = 8 inches
