Answer: aₙ = 3 + 4ⁿ⁻¹
So the formula would be:
<u>aₙ = 3 + 4ⁿ⁻¹</u>
Where a₁ = 3
Common Ratio (r) = 4
And n = the term number that needs to be found out
Step-by-step explanation:
<u>Let's check if the answer is right:</u>
To find the 1st number in the term we can substitute 1 in for n in the equation:
a₁ = 3 + 4¹⁻¹
a₁ = 3 + 4⁰
a₁ = 3 + 1
a₁ = 4
And if going back and checking the first number in the sequence given is indeed 4, therefore this equation is correct
Hope this helps!
Answer:
wheres the diagram?
Step-by-step explanation:
need the diagram in order to answer the problem
Answer:
12 miles by 8 miles
Step-by-step explanation:
Let length be represented by x
Since width is 4 miles less than the length, therefore, the width will be (x-4) miles
Area=Length*Width
Area=x(x-4)=
Area is given hence
To write the above equation as a quadratic equation
By factorization, we find two numbers whose sum is -4 and product is -96, these are 8 and -12. Therefore, taking these two numbers back to our equation
(x+8)(x-12)=0
Therefore, x=-8 or 12
Equally, using quadratic formula of
for equation 
and in our case a=1, b=-4 and c=-96
x=-8 or 12
Since length can't be negative, hence x=12
The length is 12 miles
Width=12-4=8 miles
Dimensions: 12 miles by 8 miles
Answer:
Step-by-step explanation:
The mnemonic SOH CAH TOA helps you remember the definitions of the trig functions. In particular, the function that involves the Opposite side and the Hypotenuse is the Sine function:
... Sin = Opposite/Hypotenuse
In this problem that means ...
... sin(55°) = x/(12 ft)
Multiplying by 12 ft, we have ...
... (12 ft)·sin(55°) = x ≈ 9.82982 ft ≈ 9.8 ft
2g - 2h = b + 4
2g = b + 4 + 2h
g = (b + 4 + 2h) / 2
