Answer:
![a_n = 2(4) ^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%202%284%29%20%5E%7Bn-1%7D)
Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term
and check that
Then the formula that represents this sequence is:
![a_n = a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1%28r%29%5E%7Bn-1%7D)
Where
is the first term of the series = 2 and
is the radius of convergence = 4.
Then the equation is:
![a_n = 2(4) ^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%202%284%29%20%5E%7Bn-1%7D)
Option D:
ΔCAN ≅ ΔWNA by SAS congruence rule.
Solution:
Given data:
m∠CNA = m∠WAN and CN = WA
To prove that ΔCAN ≅ ΔWNA:
In ΔCAN and ΔWNA,
CN = WA (given side)
∠CNA = ∠WAN (given angle)
NA = NA (reflexive side)
Therefore, ΔCAN ≅ ΔWNA by SAS congruence rule.
Hence option D is the correct answer.
Answer:
<u>Solving it mentally</u> :-
It says 25% × 44. When we have a percent, change it to decimal and solve which would be easy to do it mentally.
25% = 0.25
0.25 × 44 = 11 *Answer is bolded.*
<u>Solving it on paper</u> :-
I have attached a picture of me doing it on paper.
Hope this helps, thank you :) !!
Answer:
a) No Solution
Step-by-step explanation:
36 - 7p = -7(p - 5)
36 - 7p = -7p + 35
1 - 7p = -7p
1 = 0p
so a) No Solution
Answer:
θ = ![30^{0}](https://tex.z-dn.net/?f=30%5E%7B0%7D)
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ = ![\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
Sin θ = ![\frac{800}{1600}](https://tex.z-dn.net/?f=%5Cfrac%7B800%7D%7B1600%7D)
= 0.5
θ =
0.5
θ = ![30^{0}](https://tex.z-dn.net/?f=30%5E%7B0%7D)
Thus, the angle of elevation from the base to the top of the mountain is
.