Step-by-step explanation:
Height of ladder = 12ft .
Here perpendicular is height to which it reaches .
<u>When </u><u>angle </u><u>is </u><u>3</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>
=> sin 30⁰ = H/12
=> ½ = H/12
=> H = 12/2
=> H = 6m ( ans )
<u>When </u><u>Angle </u><u>is </u><u>4</u><u>5</u><u>⁰</u><u> </u><u>:</u><u>-</u><u> </u>
=> sin45⁰ = H/12
=> 1/√2 = H/12
=> H = 6*√2*√2/√2
=> H = 6√2 m ( ans )
<u>When </u><u>angle</u><u> </u><u>is </u><u>6</u><u>0</u><u>⁰</u><u> </u><u>:</u><u>-</u>
=> sin60⁰ = H/12
=> √3/2 = H/12
=> H = 12 *√3/2
=> H = 6√3 ( ans )
hope it helped !
18 - 2H = 12 - .5H
Combine the variables
18 - 2H + .5H = 12 - .5H + .5H
18 - 1.5H = 12
Combine the whole numbers
18 - 18 - 1.5H = 12 - 18
-1.5H = -6
Divide by -1.5
-1.5H/-1.5 = -6 / -1.5
H = 4
The answer is 4 hours
Answer:
A. reflection across the y-axiss
Step-by-step explanation:
Given:
The locations of the two points are (-4 , 8) and (-4 , -8).
To find:
The relation between two points.
From the given points (-4, 8) and (-4 , -8), it is clear that the y-coordinates are same but the sign of x-coordinates are opposite.
If a figure is reflected across the y-axis, then we change the sign of x-coordinate and the y-coordinates remain same, i.e.,
→
For (-4,8)
→ 
So, it is reflection across the y-axis.
Therefore, the correct option is A.
Answer:
Reduce 87/297 to lowest terms
The simplest form of 87297 is 2999.
To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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