Answer:
6n-1
Step-by-step explanation:
Re-arrange
-(1 - 6n)
-(-6n + 1)
Distrubute
-(-6n -1)
6n - 1
Not sure what your asking but:
0.000675 is equivalent to 6.75x10^-4
hope this helps
Answer:
6 possible integers
Step-by-step explanation:
Given
A decreasing geometric sequence
![Ratio = \frac{m}{7}](https://tex.z-dn.net/?f=Ratio%20%3D%20%5Cfrac%7Bm%7D%7B7%7D)
Required
Determine the possible integer values of m
Assume the first term of the sequence to be positive integer x;
The next sequence will be ![x * \frac{m}{7}](https://tex.z-dn.net/?f=x%20%2A%20%20%5Cfrac%7Bm%7D%7B7%7D)
The next will be; ![x * (\frac{m}{7})^2](https://tex.z-dn.net/?f=x%20%2A%20%20%28%5Cfrac%7Bm%7D%7B7%7D%29%5E2)
The nth term will be ![x * (\frac{m}{7})^{n-1}](https://tex.z-dn.net/?f=x%20%2A%20%20%28%5Cfrac%7Bm%7D%7B7%7D%29%5E%7Bn-1%7D)
For each of the successive terms to be less than the previous term;
then
must be a proper fraction;
This implies that:
![0 < m < 7](https://tex.z-dn.net/?f=0%20%3C%20m%20%3C%207)
<em>Where 7 is the denominator</em>
<em>The sets of </em>
<em> is </em>
<em> and their are 6 items in this set</em>
<em>Hence, there are 6 possible integer</em>
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.
Step-by-step explanation:
The given is,
In ΔWXY, ∠Y=90°
XW = 53
YX = 28
WY = 45
Step:1
Ref the attachment,
Given triangle XWY is right angled triangle.
Trigonometric ratio's,
∅
For the given attachment, the trigonometric ratio becomes,
∅
.....................................(1)
Let, ∠X = ∅
Where, XY = 28
XW = 53
Equation (1) becomes,
∅ ![= \frac{28}{53}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B28%7D%7B53%7D)
∅ = 0.5283
∅ =
(0.5283)
∅ = 58.109°
Result:
The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.