Answer:
Multiply both sides by 3
Step-by-step explanation:
The best step would be to multiply both sides by 3 so that there are no fractions in the equation.
47%= 47/100
I hope it is ok!
The answer is x is less than 1.
Answer:
y = -
x + ![\frac{289}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B289%7D%7B15%7D)
Step-by-step explanation:
The angle between the tangent and the radius at point P is 90°
Calculate the slope of the radius m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (8, 15)
m =
= ![\frac{15}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B8%7D)
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= -
, thus
y = -
x + b ← is the partial equation
To find b substitute (8, 15) into the partial equation
15 = -
+ b ⇒ b = 15 +
= ![\frac{289}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B289%7D%7B15%7D)
y = -
x +
← equation of tangent
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°
Learn more about the tangent ratio on:
brainly.com/question/4326804
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