Answer: y = 432
Step-by-step explanation:
72 = y/6
y = 6 x 72
y = 432
The answer in itself is 1/128 and here is the procedure to prove it:
cos(A)*cos(60+A)*cos(60-A) = cos(A)*(cos²60 - sin²A)
<span>= cos(A)*{(1/4) - 1 + cos²A} = cos(A)*(cos²A - 3/4) </span>
<span>= (1/4){4cos^3(A) - 3cos(A)} = (1/4)*cos(3A) </span>
Now we group applying what we see above
<span>cos(12)*cos(48)*cos(72) = </span>
<span>=cos(12)*cos(60-12)*cos(60+12) = (1/4)cos(36) </span>
<span>Similarly, cos(24)*cos(36)*cos(84) = (1/4)cos(72) </span>
<span>Now the given expression is: </span>
<span>= (1/4)cos(36)*(1/4)*cos(72)*cos(60) = </span>
<span>= (1/16)*(1/2)*{(√5 + 1)/4}*{(√5 - 1)/4} [cos(60) = 1/2; </span>
<span>cos(36) = (√5 + 1)/4 and cos(72) = cos(90-18) = </span>
<span>= sin(18) = (√5 - 1)/4] </span>
<span>And we seimplify it and it goes: (1/512)*(5-1) = 1/128</span>
Answer:
D
Step-by-step explanation:
74 + 93 + 117= 284
360 - 284 = 76
75x + 25y
Part A: coefficients = 75 & 25 variables = x & y
Part B: Terms = 2
- term 1: 75x
- term 2: 25y
Terms are the different parts or groups of an equation. Therefore, 75x is one term and the other is 25y. They are each a part of the equation. Without them you wouldn't have an equation at all.
Part C: Pizzeria pay = 75x because that is how much she makes each shift she works.
- Hope this helps. =)
The mean sustained wind velocity has the equation:
v = 6.3 √(1013 - p)
If we are given with the mean sustained wind velocity of 64 m/s, then we can solve for the air pressure using the equation:
64 = 6.3 √(1013 - p)
64/6.3 = √(1013 - p)
10.1587² = 1013 - p
p = 910 millibars
hope this helps!!!!!!!!!!!!
