Step-by-step explanation:
yes that's true
if a^n=b
then
a^n/n=b^1/n
a=b^1/n
Step-by-step explanation:
y=kx
say that y is the original prince and x is the sale price
15=k(10)
15/10=k
3/2=k
you can check with the next problem to check if it is the same
25=k(20)
25/20=k
5/4=k
so you take 5/4-3/2=-1/4 so the constant is -1/4
Hope that helps :)
Answer:
2.7 litres of solution
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:
6 pencils
Step-by-step explanation:
divide $3.30 by $0.55 and you get 6.