Answer:
$13.67 - $11.50
So the raise over 7 years was $2.17
So to find the annual raise in the wage:
$2.17 / 7 = 0.31
His wage was raised <u>.31 every year</u>.
Answer:
D. If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.
Step-by-step explanation:
Answer:
D. Kepa will be paid $4 for every hour of babysitting plus $2 for travel
costs.
Step-by-step explanation:
Are you sure that 7 belongs on the +27? or is it just supposed to be +2?
Answer:
<h3>425÷5 = 85</h3><h3>I hope it helps. ❣❣</h3>
Answer:
204/325
Step-by-step explanation:
You can work this a couple of ways. We expect you are probably expected to use trig identities.
cos(A) = √(1 -sin²(A)) = 24/25
sin(B) = √(1 -cos²(B)) = 12/13
cos(A -B) = cos(A)cos(B) +sin(A)sin(B) = (24/25)(5/13) +(7/25)(12/13)
= (24·5 +7·12)/325
cos(A -B) = 204/325
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The other way to work this is using inverse trig functions. It is necessary to carry the full calculator precision if you want an exact answer.
cos(A -B) = cos(arcsin(7/25) -arccos(5/13)) = cos(16.2602° -67.3801°)
= cos(-51.1199°) ≈ 0.62769230 . . . . (last 6 digits repeating)
The denominators of 25 and 13 suggest that the desired fraction will have a denominator of 25·13 = 325, so we can multiply this value by 325 to see what we get.
325·cos(A-B) = 204
so, the exact value is ...
cos(A -B) = 204/325
