Answer:
Check pdf
Step-by-step explanation:
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
<span>In general, if the pyramid has 'x' sides, then it will have 'x' lateral faces. Total Number of Faces = Number of Base Faces + Number of Lateral Faces. Total Number of Faces = 2 + x. So the formula is F=x%2B2 where "x" is the number of sides that the pyramid has and "F" is the total number of faces.</span>
Answer:
Step-by-step explanation:
Area is half base × height
If area = 140 and height = 20 inches
base =140 ÷ 20 = 7 × 2 = 14 inches
Answer:
5/9
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator. GCD of 10 and 18 is 2.
10 ÷ 218 ÷ 2.
Reduced fraction: 59. Therefore, 10/18 simplified to lowest terms is 5/9.
