1) Volume of the box = 90*45*45=<span>182250 cm³
2) filled with soil = 0.85*</span>182250= <span>154912.5 cm³
3) </span>182250 cm³-154912.5 cm³=<span>27337.5 cm³ not filled
4) </span>27337.5 cm³/28316 cm³=0.9654 ≈ 1 bag
Use a calculator it’s 117
In fix fraction it will be, 1 7/8
and the exact answer is 15/8
and in decimal from it will be, 1.875
Can you buttress your point?
ΔAOB is a right angled triangle. Therefore the Pythagorean Theorem applies in this situation.
θ is the angle from a standard position of the line OA
The length of the y component is √(1-0)2 +(-3-(-3))2] =√(12+ 02) = 1 A(-3,1) to B(-3,0) which is opposite
Then the length of the x-component is √[(-3-0)2 +(0-0)2] = √(9+0)= 3 B(-3,0) to O(0,0) which is adjacent
The length of vector OA is √[(-3-0)2 + (1-0)2] = √(9+1) = √(10) A(-3,1) to O(0,0) which is the hypotenuse of the triangle
θ = 180 - α
sinθ = sin(180-α) = opposite/hypotenuse = 1/√10
cosθ = adjacent/hypotenuse = -3/√10
tanθ = opposite/adjacent = 1/-3 = -1/3
α= arcsin(1/√10) ≈ 18
θ =180 -18 ≈162
