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Philip P.'s Resources

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Let h = the height of the taller building:   14 m          h --------  =  ------- 16 m        24 m   Solve for h.   ------------   Geometrically, you can...

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PEMDAS question (answer)

PEMDAS: P = operations within Parentheses E = Exponents (including radicals) M = Multiplications D = Divisions A = Additions S = Subtractions   20/2(5+5)   The confusion here is whether the problem is:   20*(5+5)               ...

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1.  √a + √a = 2a 2√a = 2a Divide both sides by 2: √a = a square both sides: a = a2 0 = a2-a 0 = a(a-1)   a = 0 and 1     The expression is true for a = 0 and 1, but not for any other values of a.   2.  You...

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The double angle identity is: sin(x+y) = sinx cosy + cosx siny   Let x = 50o and y = 10o:   sin(50o)cos(10o)+cos(50o)sin(10o) = sin(50o+10o) = sin(60o) = (√3)/2

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The exression (answer)

Use the double angle identity:  sin(u±v) - sinu cosv ± cosu sinv   sin(x+y)-sin(x-y)   = sinx cosy + cosx siny - [sinx cosy - cosx siny]   = 2 cosx siny

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Find dA/dt (answer)

A = pi*r2   To evaluate dA/dt, use the chain rule: dA/dt = (dA/dr)*(dr/dt)   dA/dt = pi*2*r*dr/dt   Since dr/dt = 3:   dA/dt = 6*pi*r   When r = 1:   dA/dt = 6*pi

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The  total wages for the 11 employees is:   $782*11 = $8602   Now add in the 12th employee's wages:   $8602 + $1261 = $9863   Now divide by 12:   $9863/12 = $821.92   ----   You can also do a weighted...

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