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What r all the factorizations of 36?
36=4x9=2x2x3x3, or, if you like, 36=6x6=2x3x2x3
What is the radius of the circle with the equation x² plus y² equals 36?
A circle centre (0, 0) and radius r has equation x² + y² = r² The circle x² + y² = 36 has: r² = 36 → radius = 6
Maria has three children. There is two years age difference between each child. The total ages of all three children is 36 years. Rosa is the youngest child. How old is Rosa?
Rosa is 10. -- further-- This is calculated by working out the relationship between the children. Let's call Rosa "R" and let that stand for her age. The next child is R + 2 years old and the eldest if R + 4. We are told that R + (R + 2) + (R + 4) = 36 (add the Rs and the digits on the left) R + R + R + 2 + 4 = 36 3R + 6 = 36 (subtract 6 from both sides) 3R = 36 - 6 3R = 30 (divide both sides by 3) R = 10According to the information given, Rosa is ten years old.
How many 12 number combinations are their using numbers 1-36?
To calculate the number of 12-number combinations using numbers 1-36, we can use the formula for combinations: nCr = n! / r!(n-r)!, where n is the total number of items to choose from (36) and r is the number of items to choose (12). Plugging in the values, we get 36C12 = 36! / 12!(36-12)! = 36! / 12!24! = (363534*...25) / (121110...*1). This simplifies to 125,736,770 unique combinations.
The girth plus length of parcels sent by fourth-class mail may not exceed 108 inches What is the largest volume of a cylindrical parcel that can be sent by fourth-class mail?
girth = 2PI r height=h h+2 PI r =108 h=108-2 PI r Volume = PI r^2 h V = PI r^2 (108-2PI r) Differentiate with respect to r dV/dr = PI (2r) (108-2PI r) +PI r^2 (-2PI) =0 216 PI r -4 PI^2 r^2 -2 PI^2 r^2=0 216 PI r -6 PI ^2 r^2=0 PI r [ 216-6 PI r] =0 6 PI r = 216 r = 36/PI --- dimensions h = (108-2 PI (36/PI)) = 108 -72=36 -- dimensions Largest volume = PI r^2 h = PI (36/PI)^2 (36) =1,296 / PI d^2V/dr^2 =216 PI -6 PI^2 (2r) when r=36/PI, d^2V/dr2 = 216 PI - 6PI^2 (2)(36)/PI =216 PI -432 PI < 0, indicates V has been maximized.
