Hello from MrBillDoesMath!
Answer:
1/243
Discussion:
3^(-3) * 3^(-2) => as a^m * a^n = a^(m+n), the exponents add
= 3^ (-3 -2)
= 3^ (-5) =
= 1/ 3^5 => as 3^5 = 243
= 1/243
which is approximately .0041
Thank you,
MrB
(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
Answer:
Im to lazy to calculate the entire answer but its basically the formula is a*b/2
Step-by-step explanation:
Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as

12 : 2 × 2 × 3. Also can be written as

20 : 2 × 2 × 5. Also can be written as

30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as

70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.
I just need some points so I can ask a question but I hope you find your answer!