Any two numbers, normally degrees, such as 10° and 170°, that add up to equal 180°
5=1/2v-3
5=1/2v
+3 +3
8=1/2v
/1/2 /1/2
16=v
Answer:

Step-by-step explanation:
The first step to solving this problem is verifying if this sequence is an arithmetic sequence or a geometric sequence.
This sequence is arithmetic if:

We have that:




This is not an arithmetic sequence.
This sequence is geometric if:




This is a geometric sequence, in which:
The first term is 40, so 
The common ratio is
, so
.
We have that:

The 10th term is
. So:



Simplifying by 4, we have:

Answer:
<h2>A. The series CONVERGES</h2>
Step-by-step explanation:
If
is a series, for the series to converge/diverge according to ratio test, the following conditions must be met.

If
< 1, the series converges absolutely
If
, the series diverges
If
, the test fails.
Given the series 
To test for convergence or divergence using ratio test, we will use the condition above.



aₙ₊₁/aₙ =

note that any constant dividing infinity is equal to zero



Since The limit of the sequence given is less than 1, hence the series converges.
The shortest distance between the tip of the cone and its rim exits 51.11cm.
<h3>
What is the shortest distance between the tip of the cone and its rim?</h3>
If you draw a line along the middle of the cone, you'd finish up with two right triangles and the line even bisects the angle between the sloping sides. The shortest distance between the tip of the cone and its rim exists in the hypotenuse of a right triangle with one angle calculating 38.5°. So, utilizing trigonometry and allowing x as the measurement of the shortest distance between the tip of the cone and its rim.
Cos 38.5 = 40 / x
Solving the value of x, we get
Multiply both sides by x


Divide both sides by 

simplifying the above equation, we get

x = 51.11cm
The shortest distance between the tip of the cone and its rim exits 51.11cm.
To learn more about right triangles refer to:
brainly.com/question/12111621
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