Answer:
the number is 87
Step-by-step explanation:
the photo contains step by step
3ab...when a = 2 and b = 3
(3)(2)(3) = 6(3) = 18
-- The difference of 2 logs is the log of the quotient of their arguments.
log(11) - log(6) = log(11/6)
-- 1/3 of the log of something is the log of its cube root.
1/3 log(8) = log(∛8) = log(2)
and
1/3 log(729) = log(∛729) = log(9)
-- If a bunch of logs all have the same base, then their sum
is the log of the product of the arguments. So ...
log(11) - log(6) + 1/3 log(8) + 1/3 log(729) =
log(11/6 times 2 times 9) =
log( 11*18 / 6 ) = <em>log(33)</em>
log(33) = about <em>1.519</em> (rounded)
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The other way:
log(11) = 1.0414
-log(6) = -0.7782
log(8) = 0.9031
1/3(0.9031) = 0.3010
log(729) = 2.8627
1/3(2.8627) = 0.9542
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Adum up: <em>1.5184</em>
(Note: Everything is rounded.)
Answer:
24 cm²
Step-by-step explanation:
We assume that is a circumscribing quadrilateral, rather than one that is circumscribed. It is also called a "tangential quadrilateral" and its area is ...
K = sr
where s is the semi-perimeter, the sum of opposite sides, and r is the radius of the incircle.
K = (12 cm)(2 cm) = 24 cm²
_____
A quadrilateral can only be tangential if pairs of opposite sides add to the same length. Hence the given sum is the semiperimeter.
Answer:
$39
Step-by-step explanation:
The cost of the treat was $30, with the addition of a 10% sale tax and a 20% tip on the original $30.
So, total of (10 + 20) = 30% extra cost she has to pay on the original $30.
Hence, the total amount to be paid for the meal will be
dollars. (Answer)
