(i.) CA = πrl
CA = π (5*13)
CA = 65π
(ii.) TA = πrl + πr^2
TA = 65π + π (5^2)
TA = 65π + 25π
TA = 90π
(iii.) To get the height of the cone, you have to use the Pythagorean theorem. Plug in the radius for a and the slant height for c.
a^2 + b^2 = c^2
5^2 + b^2 = 13^2
25 + b^2 = 169 Height = 12
b^2 = 144
b = 12
(iv.) v = (1/3)πr^2h
v = (1/3)π(5^2)*12
v = (1/3)π(25*12)
v = (1/3)π*300
v = 100π
Step-by-step explanation:
You should pick the coin that is cheap but one that also has a high inflation value. You should graph out the rate of increase per year to see if the coins are worthy of investing upon
3x-4=-19
you add -4 to both sides and get 3x=15 then divide 3 by both sides and get x=5 (15 divided by 3 is 5)
Answer:
( x + 3)( x - 3)( x + y )( x - y )
Step-by-step explanation:
You can group the terms in pairs and factor each pair:
-x^2y^2 + x^4 + 9y^2 - 9x^2 = x^2(-y^2+x^2) -9(-y^2+x^2)
= (x^2 -9)(x^2 -y^2)
Each of these factors is the difference of squares, so can be factored as such:
= (x +3)(x -3)(x +y)(x -y)
