A cube whose edge is 20 cm 1 point
1 answer:
You might be interested in
Given:
The recursive formulae are:
(a)
(b)
To find:
The explicit equation.
Solution:
A recursive formula of an arithmetic sequence is
and f(1) is the first term.
Where, d is the common difference.
The explicit formula is
where, a is first term and d is common difference.
(a)
We have,
Here, first term is 8 and common difference is -2. So, the explicit formula is
Therefore, the explicit formula is .
(b)
We have,
Here, first term is 0 and common difference is 5. So, the explicit formula is
Therefore, the explicit formula is .
The answer is 8
First divide, then square root to get rid of the squared.
First divide, then square root to get rid of the squared.
Answer:
The height of the mast is 8√2 feet
Step-by-step explanation:
In this question, we are asked to calculate the height of the mast given the information in the question.
Please check the attachment for diagrammatic representation.
From the diagrammatic representation, we can conclude that we are asked to calculate the value of the third side of a right angled triangle, given the length of the two other sides.
Using the pythagoras’s theorem;
Square of hypotenuse = square of opposite + square of adjacent
From the diagram, we can see that the length of the cable represents the hypotenuse.
Hence;
AB^2= BC^2 + AC^2
12^2 = 4^2 + AC^2
144 = 16 + AC^2
AC^2 = 144 - 16
AC^2 = 128
AC = √128
AC = 8√2 feet
