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
Answer:
A= 75686400
B= 7568640000
C= 75686400000
Step-by-step explanation:
1 day= 1440 min
1 year= 365 days
365 days*1440 min= 525600 min , 1 year= 525600 min
525600 min*2 years= 1051200 min
(in 2 years) 72 beats*1051200 min= 75686400
(in 200 years) 75686400*100= 7568640000
(in 2000 years) 7568640000*10 =75686400000
12x +6 = 18 - 48 - 9x
-9x. -9x
3x +6 =18-48
-6. -6
3x = 18 -48-6
3x = -36
/3. /3
X= -12
Answer x=-12
Answer:
0.11659...cm3
Step-by-step explanation:
To find volume you would have to plug it in the formula Volume= Mass / density so if we plug it in it will be, X(volume): 26(mass)/223(density) you will get 0.11659...cm3
