Answer:
are u trying to find x?
Step-by-step explanation:
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:
There were 36 space rocks in total.
Step-by-step explanation:
First, you need to find what fraction of the original rocks are silver.
If 2/3 are purple, then 1/3 of them are not.
If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.
2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.
So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.
This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.
So:
1/12r = 3
r = 36 silver rocks
There were 36 space rocks in total.
hope this helps :)
Answer:
Step-by-step explanation:
The ratio of 6:30 would be equivalent to it.
Answer: B. 3n + 9
Step-by-step explanation:
there are 3 with an unknown value so it is 3n and there are 9 pieces that are each equal to 1 witch makes it 3n+9. hope this helps have a good day
