(3^5)^2/3^-2 Simplify please
2 answers:
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Answer:
Not sure about the 1st sequence
Second sequence: 34
Third sequence: 18
Fourth sequence: 144
Step-by-step explanation:
The second sequence is the Fibonacci sequence. You find the next term by adding to two previous terms, so you have 13+21 which is equal to 34.
The third sequence is an arithmetic sequence that has a common difference of 11. Knowing this, we can add 11 to the last term to find the next one. This gives us 7+11 which is 18
The third sequence is the square of numbers starting form 16 and decreasing by one each time. This can be written with the formula =
, where n is the term of the sequence you are solving for. Since you need to solve for the fifth term of the sequence the equation becomes,
=
which is the same as
, so the 5th term is 169.
Answer:
A) 6.32 in.
B) 71.56°
C) 36.88°
Step-by-step explanation:
To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.
A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:
B) The angle asked is the angle ∠A, then, you have:
∠°
C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.
By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:
∠
Then:
°
Answer:
22 4/5 miles
Step-by-step explanation:
miles per gallon = total miles / total gallons used
÷
convert the mixed fraction to an improper fraction
×
=
= 22 4/5 miles