Answer:
The answer to your question is Long = 10.39
Step-by-step explanation:
Data
hypotenuse = 12
long = ?
Process
1.- To find Long, we must use the trigonometric functions sine or cosine.
If we use sine, we use the 60° angle
If we use cosine, we use the 30° angle
a) sin 60 = long / hypotenuse
Long = hypotenuse x sin 60
Long = 12 x sin 60
Long = 10.39
b) cos 30 = Long / hypotenuse
Long = hypotenuse x cos 30
Long = 12 x cos 30
Long = 10.39
Given equation is:
![T=36x+60](https://tex.z-dn.net/?f=T%3D36x%2B60)
Where T is the total cost; $36 is the entry fee per person and $60 is the one time bus parking fee.
As given, the bus holds up to 40 people, so let the total number of people be represented by 'x'
The bus holds up to 40 people so 'x' is either less than 40 or equal to 40.
Or this can be written as : ![x\leq 40](https://tex.z-dn.net/?f=x%5Cleq%2040)
Hence, the domain will lie between 0 and 40.
So option C : 0≤ x≤ 40 is the answer.
<span>|1 - 4x| > 7
</span>(<span>1 - 4x) > 7 or (</span><span>1 - 4x) < -7
-4x > 7 - 1 or -4x < -7 - 1
-4x > 6 or -4x < -8
x < 6/-4 or x > -8/-4
x < -1.5 or x > 2
</span><span>{x|x < -1.5 ∪ x > 2}</span>
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
<em>aₙ = a + (n - 1)d</em>
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
<u>-TheUnknownScientist</u>