A because the 6 and 3 cancel out
Then 2 x 8 is (16) and 15 x 5 is (75)
Making it A
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
Answer:
If y(t) is the mass (in mg) remaining after t years, then y(t) = y(0) (0.5)^{t/T} = 400 (0.5)^{t /4}, where T is the half-life period and y(0) is the amount at t = 0 years (initial).
Then at t = 20:
y(20) = 400 (0.5)^{20 /4} = \text{12.5 mg}
Step-by-step explanation:
Answer:
20 pints per hour
Step-by-step explanation:
60/6 = 10
10 x 4 = 40
40 pints/hour in the morning
60/3 = 20
20 x 1 =20
20 pints/hour in the afternoon
40 - 20 = 20
20 pint/hour difference
Answer:
Kindly check explanation
Step-by-step explanation:
Give the line of best fit :
y = 1.62x + 18 ; where ;
y = wait time ; x = number of staffs available
If slope of the line is -1.62.
The slope of linear graph represents the ratio of change in the y variable and the x variable. With a slope value of - 1.62, the rate of change is negative and thus an increase in x will lead to a decrease in y. This means that for every unit increase in the number of staffs, the wait time reduces at a rate of 1.62 per unit.
