We will use tangent here as we are finding the opposite with the adjacent given.
So we can simply just put this into a calculator:
tan(68°) × 7 cm = AC
tan(68°) × 7 cm = 17.3 cm
Arithmetic sequences have a common difference between consecutive terms.
Geometric sequences have a common ratio between consecutive terms.
Let's compute the differences and ratios between consecutive terms:
Differences:
![0.4-0.2 = 0.2,\quad 0.6-0.4=0.2,\quad 0.8-0.6=0.2,\quad 1-0.8=0.2](https://tex.z-dn.net/?f=0.4-0.2%20%3D%200.2%2C%5Cquad%200.6-0.4%3D0.2%2C%5Cquad%200.8-0.6%3D0.2%2C%5Cquad%201-0.8%3D0.2)
Ratios:
![\dfrac{0.4}{0.2}=2,\quad \dfrac{0.6}{0.4} = 1.5,\quad \dfrac{0.8}{0.6} = 1.33\ldots, \quad\dfrac{1}{0.8}=1.25](https://tex.z-dn.net/?f=%5Cdfrac%7B0.4%7D%7B0.2%7D%3D2%2C%5Cquad%20%5Cdfrac%7B0.6%7D%7B0.4%7D%20%3D%201.5%2C%5Cquad%20%5Cdfrac%7B0.8%7D%7B0.6%7D%20%3D%201.33%5Cldots%2C%20%5Cquad%5Cdfrac%7B1%7D%7B0.8%7D%3D1.25)
So, as you can see, the differences between consecutive terms are constant, whereas ratios vary.
So, this is an arithmetic sequence.
Answer:
Yes
Step-by-step explanation:
We know this because the proportion can be used to find another answer.
Example:
How many feet did the elevator ascend in 0.25 minutes?
750 x
---------- = ----------
1 0.25
750(0.25) = 1x
187.5 = x
***Sorry about the format. Hope this helps!
Answer:
the ratio would be 2:3 simplified
Answer: Length = 12 units
Width = 6 units
Step-by-step explanation:
Let the width of the rectangle be represented by x.
Since the length of a rectangle is twice its width, thus means that the length will be: = 2x
Perimeter of a rectangle = 2(l + w)
where,
L = length
W = width
Therefore,
Perimeter = 2(l + b)
36 = 2(2x + x)
36 = 2(3x)
36 = 6x
x = 36/6
x = 6
Width = 6 units
Length = 2 × Width = 2 × 6 = 12 units