Answer:
The characteristic of a logarithm is the number to the left of the decimal.
(The characteristic is like an exponent).
We are working with base 3 logs.
So if we are increasing a number by multiplying it by the base of the logarithm, (in this case 3 times 3) then we increase the characteristic by two.
Since 2 is the exponent of 3^2 then to get the log 3 of 72, we get the log3 (8) and increase it by 2.
1.8928 +2 = 3.8928
Had we been working with base 10 logs and we were multiplying a number by 100, We would increase the characteristic by 2 because 100 = 10^2.
Step-by-step explanation:
Na I don't wanna do this one
In general: <span>(a - b)^3 = a^3 - 3 a^2b + 3 a b^2 - b<span>^3
(4x-2y)^3 = </span></span>(4x)^3 - 3 (4x)^2(2y) + 3 (4x) (2y)^2 - (2y)^3
Answer: 225
Step-by-step explanation:
Volume of the pyramid is calculated as 1/3 bh, where b is base and h is height
Given height as 39cm and a base of 10√3cm = 10 x √3, where √3= 1.73; base = 10 x 1.73 = 17.3
Slot the values into the formula:
Volume = 1/3 × 17.3 x 39
= 1/3 × 674.7 = 674.7/3
Volume = 224.9 approximately 225.
I hope this helps.
