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Marta_Voda [28]
3 years ago
11

What is the value of x

Mathematics
1 answer:
Ivanshal [37]3 years ago
3 0

Answer:

  A.  4√3

Step-by-step explanation:

All of the right triangles in this geometry are similar, so the ratios of hypotenuse to short side are the same:

  (8+4)/x = x/4

  48 = x^2 . . . . . . . . . multiply by 4x

  √48 = 4√3 = x . . . . take the square root

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Thank you so much. (20 characters required)
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#3.
 √18²-5.7²    Second Choice

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l²=5²+4² = 25+16 = = 41
l=√41
l= 6.4

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#5 Only A --- First choice

#7 6 ----- Third choice

#8 V= \pi r^2(h)=  \pi 10^2(3) = 314(3)=942  units³ ---Second choice


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3 years ago
Expand and simplify (x-6)(x+2)
maw [93]
I hope this helps you

4 0
3 years ago
Read 2 more answers
School newspaper staff went to three different sports games to survey students on their favorite sport, and the results are show
ycow [4]
They are biased. No one picked random
3 0
4 years ago
One question I need help with, I would really appreciate the help.
LuckyWell [14K]

At first, she had  +2y  in the upper and  -5y  in the lower.

She multiplied the upper by  5 .  Then she had  +10y in the upper.

She should multiply the lower by  2 .  Then she'll have  -10y
there.  She'll be able to add the two equations, and the 'y's will
go away.  She'll be left with a single equation with only 'x' in it,
and she can solve that one for the value of 'x'.

4 0
4 years ago
A pigpen is to be enclosed using 640 m of fencing along three of its sides, the fourth side being a barn. Determine the dimensio
Basile [38]

Answer:

W_{max}=480m\\ L_{max}=160m

Step-by-step explanation:

Since we know we only have 640 feet of fence available, we know that L + W + L = 640, \implies 2L + W = 640. This allows us to represent the width, W, in terms of L: W = 640 – 2L

Remember, the area of a rectangle is equal to the product of its width and length, therefore,

A_{\rm pigpen}=L(640-2L)\implies 640L-2L^2

Notice that, quadratic has been vertically reflected, since the coefficient on the squared term is negative, so the graph will open downwards, and the vertex will be a maximum value for the area.

recall,

  • x_{max}=-b/2a
  • f(x)_{max}=f(x_{max})

Since our function is A(L)=640L-2L², we get

  • a=-2
  • b=640

plug in the value of a and b into the first formula:

L_{max}=-(640)/2(-2)\implies 160

A(L)_{max}=640(160)-2(160)^2\implies 76800

hence,the dimensions of the pen that will maximize the area are<u> </u><u>L=</u><u>1</u><u>6</u><u>0</u><u>m</u><u> </u>and<u> </u><u>W=</u><u>7</u><u>6</u><u>8</u><u>0</u><u>0</u><u>/</u><u>1</u><u>6</u><u>0</u><u>=</u><u>4</u><u>8</u><u>0</u><u>m</u>

and we're done!

3 0
3 years ago
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