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tatiyna
3 years ago
15

Find the value of x show all steps please

Mathematics
2 answers:
koban [17]3 years ago
8 0
<h2><u>Solution :-</u> </h2>

\sf{ {AB}^{2} \:  =AC×AD }

\sf{so, {x}^{2} = 4x(4 + 12) }

\implies \sf{ {x}^{2}  = 64}

\pink\implies \sf{x = 8}

<h3>______________________</h3>

Hope it helps uh :)

Nimfa-mama [501]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

  • AB^2=AC × AD
  • so, x^2=4x(4+12)
  • x^2=64
  • x=8

<u>-----------------------</u>

hope it helps...

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses
mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for x days.

So, for x days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = \frac{360}{x}

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = (x+4) days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= (\frac{360}{x}-3)

Total expense in dollars can now be given as:  (x+4)(\frac{360}{x}-3)

Simplifying by using distribution (FOIL).

(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))

360-3x+\frac{1440}{x}-12

348-3x+\frac{1440}{x}

We know total expense remains the same which is = $360.

So, we have the equation as:

348-3x+\frac{1440}{x}=360

Multiplying each term with x to remove fractions.

348x-3x^2+1440=360x

Subtracting 348x both sides

348x-348x-3x^2+1440=360x-348x

-3x^2+1440=12x

Dividing each term with -3.

\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}

x^2-480=-4x

Adding 4x both sides.

x^2+4x-480=-4x+4x

x^2+4x-480=0

Solving using quadratic formula.

For a quadratic equation: ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Plugging in values from the equation we got.

x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}

x=\frac{-4\pm\sqrt{16+1920}}{2}

x=\frac{-4\pm\sqrt{1936}}{2}

x=\frac{-4\pm44}{2}

So, we have

x=\frac{-4+44}{2}   and x=\frac{-4-44}{2}

x=\frac{40}{2}   and x=\frac{-48}{2}

∴ x=20           and x=-24

Since number of days cannot be negative, so we take x=20 as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0
3 years ago
If measure of angle 1=30, then measure of arc ab=
Mnenie [13.5K]
An arc of a circle has the same measure as the central angle that intercepts it.

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The measure of central angle 1 is the same as the measure of angle AB.

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5 0
3 years ago
Tim is painting his storage shed who buys 4 gallons of white paint and 3 gallons of blue paint meaning of each gallon of white p
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Answer:

  $128.49

Step-by-step explanation:

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The total purchase is ...

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Tim will be spending $128.49 on paint.

5 0
4 years ago
Read 2 more answers
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igor_vitrenko [27]
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3 years ago
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Anika [276]
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Steps:

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f(g(3)) = 17
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3 years ago
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