Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
Answer:
4180 to 5230$
Step-by-step explanation:
1. Lets find the expenses she has to make -> 4*90+660=1020$(4 new tires + other expenses)
2. As her income is not set strictly we can guess the range she can save(More accurate calculations depends on her strict incomes). We have 5200-1020=4180$(if she gets paid 5200$) and 6250-1020= 5230$(if she gets paid 6250$).
3. So the range of savings vary from 4180 to 5230$$.
Answer:
6.55
Step-by-step explanation:
divide 13.1 by the 2 hours your answer will be 6.55
The equation of a line given the slope and y-intercept is given as;
m(x-x₁) = (y-y₁)
∴equation of line with m = 2 and y-intercept = (0,3) =
2(x - 0) = (y - 3)
= 2x - 0 = y - 3
making y the subject obtains y = 2x + 3.
so, equation of the line: y = 2x + 3.
