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Answer: 2.5 ft
Step-by-step explanation:
The volume of a rectangular prism is given by the following formula:
(1)
Where:
is the length of the base
is the width of the base
is the height of the prism
On the other hand, tha area of a rectangle is:
(2)
Then, we can rewrite (1) in terms of (2):
(3)
Now, we know the value of the volume and the area of the base:


Substituting these values in (3):
(4)
Isolating
:
This is the height of the truck
Answer:
(a) {(1, 2), (2,4), (3,6), (4 , 8), (1,3), (3,5), (5,7)}
Step-by-step explanation:
add them
Sin(13π/8) , is in quadrant IV so the angle will be negative, find the reference angle.
<span>sin(13π/8) = -sin(16π/8 - 13π/8) = -sin(3π/8) = -cos(4π/8 - 3π/8) = - cos(π/8). </span>
<span>Use half angle formula for cos(x): </span>
<span>cos²(x/2) = (cos(x) + 1) / 2 </span>
<span>Let x = π/4 </span>
<span>cos²(π/8) = (cos(π/4) + 1) / 2 </span>
<span>cos²(π/8) = (√(2) / 2 + 1) / 2 </span>
<span>cos(π/8) = √(√(2) / 4 + 1/2) </span>
<span>-cos(π/8) = -√((√(2) + 2) / 4)</span>