(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
actually it will be easier for you to know it if you convert it into decimal.
So
James = 4/5 = 0.8
Eric = 7/9 = 0.78
So James ate more
Answer:
x=4, y =0
Step-by-step explanation:
To convert to rectangular from, we use the formulas
x= rcos theta
y = rsin theta
Substitute r=4 and theta =0
x = 4 cos (0) = 4 (1) = 4
y = 4 sin (0) = 4(0) = 0
In rectangular form (4,000°) equals ( 4, 0)
Answer:
Step-by-step explanation:
36
6.4
9.3
140= x +3x
140 =4x
140/4= 4x/4
35= x
3x= 105
The length of the longer piece is 105 feet