Answer:
Length = 16 inches and width = 12inches
Step-by-step explanation:
A = 192 in² . The width is 4 + 1/2x. therefore let x = length
Area = LW
192 = x(4 + 1/2 x)
192 = 4x + 1/2x²
384 = 8x + x² Multiply each term by 2 to make a
384 + 16 = x² + 8x + 16 Complete the square
400 = (x + 4)²
± 20 = x + 4
20 = x + 4 or -20 = x + 4
20 - 4 = x or -20 - 4 = x
16 = x or -24 = x reject the negative amount
Length = 16
width = 4 + 1/2(16); 4 + 8 = 12
Hey!
72/5 ÷ 4/5
All you have to do is divide 72 by 4 because the denominator is the same.
72 ÷ 4 = 18
Answer ⇒ 18 catalogs
Hope this helps! :)
Answer:
56
Step-by-step explanation:
Perimeter= 4S
Perimeter= 4(5)
Perimeter= 20
Perimeter 2= 2(L+W)
Perimeter 2= 2(11+7)
Perimeter 2= 22+14
Perimeter 2= 36
Total Perimeter= P1+P2
Total Perimeter= 20+36
Total Perimeter= 56
9x-5, I guess, not sure, but I'm combining like terms. Hope it's right.
Sin2x=2sinxcosx, cos2x=1-2sin^2x
sin(2x)+cos(3x)=2sinxcosx+cos(x+2x)
cos(x+2x)=cosx(1-2sin^2(x))-sinx2sinxcosx
sin(2x)+cos(3x)=2sinxcosx(1-sinx)+cosx(1-2sin^2(x))
