Answer:
The explicit form for this sequence is 
for all 
.
Step-by-step explanation:
The explicit form of an arithmetic sequence of numbers is given by the formula 
, where 
is the first term of the sequence, 
is the difference between two consecutive terms of the sequence, and .
We know that the first four elements for the arithmetic sequence are 
.
To find the general formula for this problem we only need to calculate in the above formula.
For n=2, we have
if we replace 
and 
and solve for we obtain
Therefore the explicit form is for all .
The height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
Angle = 71 degree
Distance between A and B = 20 meters
Let's suppose the height of the building is x meters.
From the right angle triangle applying the tan ratio:
tan71 = x/20
x = 58.08 meter
Thus, the height of a building is 58.08 meters if the angle is 71 degree and the distance between A and B is 20 meters.
Learn more about trigonometry here:
brainly.com/question/26719838
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Answer:
x=4,y=5/2 or (4,5/2) depending on the type of answer you need .
Step-by-step explanation:
Answer:
4, because 12/3 is 4 cause 3×4=12
Given function: 
.
We need to find the inverse of the given function f(x).
Let us write the function in terms of x and y first.
Now, in order to find the inverse, we need to switch x and y, we get
Now, we need to solve it for y.
In order to solve it for y, we need to isolate it for y.
Adding 1 on both sides, we get
Dividing both sides by -4, we get
In order to get rid square root from right side, we need to square both side.
Or 
Therefore, inverse function is
.
