Properties of Logs
logb(x/y) = log<span>bx</span> - log<span>by</span>.
therefore
log5 (4/7)= log5 (4)- log5 (7)
<span>Solve log 5 (4) and log 5 (7) with the base change of the logarithm</span>
<span>log 5 4 = log 4 / log 5 </span>
Use the calculator:
<span>
<span>log 5 4 =0.8613531161
</span></span>
log 5 7 = log 7 / log 5
<span>log 5 7 =1.2090619551</span>
<span>log5 (4/7)= log5
(4)- log5 (7)=-0.347708839</span>
X - 19 + x + 65 = 180. 180° equals a line, and therefore a linear pair.
Then, solve your equation. 2x = 134. So, x = 67°. 67 - 19 = 48. 180 - 48 = 132. The answer is A.
Answer:
order is
αb<αc<αa
Step-by-step explanation:
in a )
number 4 and number 12 are showing 3 bullets while number 7 and 9 showing 2 bullets hence
standard deviation for a=3-2=1
in b)
number 4 ,7,9 and number 12 are showing 2 bullets while number 3 and 13 showing 1 bullet hence
standard deviation for a=2-1=1
in c)
number 4 ,7,9 and number 12 are showing 2 bullets while number 5 and 11 showing 1 bullet hence
standard deviation for a=2-1=1
order isαb<αc<αa
Answer:
irrational number
Step-by-step explanation:
It is a non-recurring continuous decimal number
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0
The width of the rectangle is 21 feet, the length is 29 feet.
_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
