Answer:
the samurai were best known for their swordsmanship with the katana, kyūjutsu (“art of archery”)
Step-by-step explanation:
the samurai were best known for their swordsmanship with the katana, kyūjutsu (“art of archery”) that's for yesterday you deleted my answer for this question
If there are 14 different scenarios that can happen (Blue 1-5, Green 1-6, Red 1-3), and 9 of them are not blue, there is a 9/14 chance that the first pick is not blue. to get percentages, you divide 9 by 14 to get 0.64, or 64 percent chance at not picking blue.
Answer:
A. 24
Step-by-step explanation:
We know that the formula for find the area of right triangle is (1/2) × (b × h)
Using this formula, we can find the area of this right triangle given the side lengths
the base of this right triangle is 8
the height of this right triangle is 6
(1/2) × (8×6)
(1/2) × (48)
48/2
24
Answer:
98, 317, 342
Step-by-step explanation:
Answer:
the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
Step-by-step explanation:
since the volume of a cylinder is
V= π*R²*L → L =V/ (π*R²)
the cost function is
Cost = cost of side material * side area + cost of top and bottom material * top and bottom area
C = a* 2*π*R*L + b* 2*π*R²
replacing the value of L
C = a* 2*π*R* V/ (π*R²) + b* 2*π*R² = a* 2*V/R + b* 2*π*R²
then the optimal radius for minimum cost can be found when the derivative of the cost with respect to the radius equals 0 , then
dC/dR = -2*a*V/R² + 4*π*b*R = 0
4*π*b*R = 2*a*V/R²
R³ = a*V/(2*π*b)
R= ∛( a*V/(2*π*b))
replacing values
R= ∛( a*V/(2*π*b)) = ∛(0.03$/cm² * 600 cm³ /(2*π* 0.05$/cm²) )= 3.85 cm
then
L =V/ (π*R²) = 600 cm³/(π*(3.85 cm)²) = 12.88 cm
therefore the dimensions that minimize the cost of the cylinder are R= 3.85 cm and L=12.88 cm
