Answer:
sin∅= - √6/3
Step-by-step explanation:
Trigonometric function cos is even function which mean:
cos (-∅) = cos ∅
Trigonometric function sin is odd function which mean:
sin (-∅) = - sin∅ => sin∅ < 0
The basic trigonometric equation reads in this case with angle marked ∅:
sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>
sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>
sin∅ = - √2/√3 => sin∅ = - √6/3
God with you!!!
So, to find the solution to this problem, we will we using pretty much the same method we used in your previous question. First, let's find the area of the rectangle. The area of a rectangle is length x width. The length in this problem is 16 and the width is 3, and after multiplying these together, we have found 48 in^2 to be the area of the square. Next, we can find the area of the trapezoid. The area of a trapezoid is ((a+b)/2)h where a is the first base, b is the second base, and h is the height. In this problem, a=16, b=5, and h=10. So, all we have to do is plug these values into the area formula. ((16+5)/2)10 = (21/2)10 = 105. So, the area of the trapezoid is 105 in^2. Now after adding the two areas together (48in^2 and 105in^2), we have found the solution to be 153in^2. I hope this helped! :)
Answer:
f=3/5x+2/5c
Step-by-step explanation:
The formula for volume (V) is <em>l * w * h</em>, where <em>l</em> is length, <em>w</em> is width, and <em>h</em> is height. So in a sense, we have already solved the first part of this problem!
V = 10 * 8 * 3
Now, all we have to do is complete this equation to find the volume.
10 * 8 = 80
80 * 3 = 240
The volume of Jose's box for baseball cards is 240 cubic inches.
Hope that helped! =)
