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uysha [10]
3 years ago
11

What is the value of x? a. 6 b. 6√3 c. 12 d. 12√3

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
The answer should be 6(square root of)3 because in a 30 60 90 triangle the small leg is equal to half the length of the hypotenuse and the long leg is equal to the small leg times the square root of 3

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Point C ∈ AB , AB = 30m. Point C is 1.5 times farther from point A than from point B. Find AC and CB.
Shtirlitz [24]

let's say that C is "x" units farther from B, that means that CB = x, and therefore AC = 1.5x.


\bf \underset{\leftarrow ~~30~~\to}{\boxed{A}\stackrel{1.5x}{\rule[0.35em]{18em}{0.25pt}}C\stackrel{x}{\rule[0.35em]{10em}{0.25pt}}\boxed{B}}
\\\\\\
AB=AC+CB\implies \stackrel{AB}{30}=\stackrel{AC}{1.5x}+\stackrel{CB}{x}\implies 30=2.5x
\\\\\\
\cfrac{30}{2.5}=x\implies 12=x
\\\\[-0.35em]
~\dotfill\\\\
AC=1.5(12)\implies AC=18~\hspace{8em} CB=x\implies CB=12

8 0
3 years ago
According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
Pepsi [2]
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

8 0
3 years ago
4k^2 + 28k + 48 factor the polynomial​
andreyandreev [35.5K]
4 (k+3) (k+) is the answer
5 0
3 years ago
What values of b satisfy 3(2b + 3)2 = 36?
KiRa [710]

the correct question is

What values of b satisfy 3(2b+3)^2 = 36


we have

3(2b+3)^2 = 36

Divide both sides by 3

(2b+3)^2 = 12

take the square root of both sides

( 2b+3)} =(+ /-) \sqrt{12} \\ 2b=(+ /-) \sqrt{12}-3


b1=\frac{\sqrt{12}}{2} -\frac{3}{2}

b1=\sqrt{3} -\frac{3}{2}


b2=\frac{-\sqrt{12}}{2} -\frac{3}{2}

b2=-\sqrt{3} -\frac{3}{2}

therefore


the answer is

the values of b are

b1=\sqrt{3} -\frac{3}{2}

b2=-\sqrt{3} -\frac{3}{2}


6 0
3 years ago
Read 2 more answers
Jake draws A POR on the coordinate plane
Vaselesa [24]
The answer is c18.71
6 0
3 years ago
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