Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.
<h3>What is the Tangent Ratio?</h3>
In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.
Given the following:
- Angle of elevation = ∅
- Opposite length = 125 ft
- Adjacent length = 172 ft
Apply the tangent ratio:
tan ∅ = 125/172
tan ∅ = 125/172
∅ = tan^(-1)(125/172)
∅ ≈ 36°
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Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
The correct answer is B. The number of rides and the total cost are both dependent variables, as both depend on the amount of money that Nia has.
Step-by-step explanation:
The total cost is dependent because it relies on how many rides Nia takes, and the $19.50 limit.
The number of rides is dependent on the limit of $19.50 because the $19.50 is the limit and the total amount of rides is locked by $19.50
I'm not sure, though.
Answer:
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In the Poisson distribution, the mean is the same as the variance.
P(X = 0) = 0.09
So
We apply ln to both sides, which is the inverse operation of the exponential.
So
Multiplying by -1
So
Angles in triangle add up to 180°, thus to solve for the value of x, we add up our angles and equate it to 180.
80+(2x+2)+(5x)=180
simplifying this we have:
80+2x+2+5x=180
80+2+5x+2x=180
82+7x=180
7x=180-82
7x=98
x=98/7
x=14
thus the value of x is:
14°
