Answer:
5.347
Step-by-step explanation:
5.3471075307175.
Answer: option D is the correct answer
Step-by-step explanation:
In the given sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 351
d = - 343 - - 351 = - 343 + 351
d = 8
Therefore, the explicit function which defines the sequence is
f(n) = - 351 + 8(n - 1)
f(n) = 8n - 8 - 351
f(n) = 8n - 359
Probability =
(number of ways it can come out the way you want it to)
divided by
(total number of ways it can come out).
Total number of ways it can come out =
number of bottles in the cooler
= (10 + 15 + 13) = 38 .
Number of ways it can come out the way you want it to =
(soda + lemonade)
= (10 + 15) = 25 .
Probability of coming out the way you want it to =
25 / 38 = about 65.8 % .
unequal Triangle
If two sides of a triangle are unequal, The angle opposite to the greater side is greater than the angle opposite to less.That is,
In a triangle ΔABC,
if AC > AB then ∠B > ∠C
Answer:
<h2>
204π units²</h2>
Step-by-step explanation:
The lateral area of the cylinder includes both the side and the ends.
The area of the side can be found by calculating the circumference of the cylinder and multiplying that by the height: A = 2π(6 units )(11 units) = 132π units².
The area of one end of this cylinder can be found by applying the "area of a circle" formula: A = πr². Here, with r = 6 units, A = π(6 units)² = 36π units². Since the cylinder has two ends, the total area of the ends is thus 2(36π units) = 72π units.
The total lateral area of the cylinder is thus 72π units² + 132π units², or 204π units²
