You would move your point 24 up from the starting point then move it three down from the 24 so if you start at zero go to 24 then move it down to 21.
Answer: 60%
Step-by-step explanation:
3/5 times 20 = 60/100
The lowest test score that Stephen can get in order to still average a score of 90 is 94. The answer is 94.
Answer:
x = 4
Step-by-step explanation:
6x + 8 = 32
6x = 32 ‐ 8
6x = 24
x = 24/6
x = 4
The value of the sine of the new angle of elevation is 15i/8
<h2 /><h2>Sine of the New Angle of Elevation</h2>
Let the angle of elevation of Daniel's neighbors apartment be Ф. When he adjusts to view on the next floor, the elevation of the apartment is double the initial. So, this new angle of elevation is α = 2Φ.
Since we require sinα = sin2Φ = 2sinΦcosΦ
Since the cosine of the angle of elevation from Daniel to the apartment is 15/12, cosΦ = 15/12
Using trigonometric identities,
sin²Ф + cos²Ф = 1
sinФ = √(1 - cos²Ф)
Substituting the value of the cosФ into the equation, we have
sinФ = √(1 - cos²Ф)
sinФ = √(1 - (15/12)²)
sinФ = √(1 - (225/144))
sinФ = √([144 - 225]/144))
sinФ = √(-81/144)
sinФ = 9i/12
sinФ = 3i/4
So, sinα = sin2Φ
= 2sinΦcosΦ
= 2 × 3i/4 × 15/12
= 15i/8
So, the value of the sine of the new angle of elevation is 15i/8
Learn more about sine of an angle here:
brainly.com/question/11542878
