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Elanso [62]
3 years ago
10

Solve 3/2 x 10/3. Simplify if possible.

Mathematics
1 answer:
marshall27 [118]3 years ago
7 0
<span>3/2 x 10/3
=> 3*10/2*3  ( multiply numerators and denominators .....)
=> 30 / 6
=> 5 /1 = 5 

Hope it helps !!!</span>
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PQR is a right angled triangle calculate the size of angle marked x
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Answer:

\displaystyle x \approx 37.4^\circ

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
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<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA
  • [Right Triangles Only] cosθ = adjacent over hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

Angle θ = <em>x</em>

Adjacent Leg = 5.8

Hypotenuse = 7.3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Substitute in variables [Cosine]:                                                                    \displaystyle cosx^\circ = \frac{5.8}{7.3}
  2. [Fraction] Divide:                                                                                             \displaystyle cosx^\circ = 0.794521
  3. [Equality Property] Trig inverse:                                                                    \displaystyle x^\circ = cos^{-1}(0.794521)
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3400000 in scientific notation
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3 years ago
-5r+8r+5 what is the anwser
Ksju [112]

Answer:

-5r + 8r +5

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7 0
3 years ago
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How to integrate with steps:<br><br> (4x2-6)/(x+5)(x-2)(3x-1)
joja [24]

\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}

\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)

You can use the "cover-up" method here to easily solve for a,b,c. It involves fixing a value of x to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

  • If x=-5, then 94=112a\implies a=\dfrac{47}{56}
  • If x=2, then 10=35b\implies b=\dfrac27
  • If x=\dfrac13, then -\dfrac{50}9=-\dfrac{80}9c\implies c=\dfrac58

So the integral we want to compute is the same as

\displaystyle\frac{47}{56}\int\frac{\mathrm dx}{x+5}+\frac{10}{35}\int\frac{\mathrm dx}{x-2}+\frac58\int\frac{\mathrm dx}{3x-1}

and each integral here is trivial. We end up with

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which can be condensed as

\ln\left|(x+5)^{47/56}(x-2)^{2/7}(3x-1)^{5/24}\right|+C

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B.) 4 remainder 2.

If you used a calculator it's written as 4 2/7


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3 years ago
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