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Arisa [49]
3 years ago
13

What's the diagonal length of a tv that is 20in tall and 36in width

Mathematics
2 answers:
natta225 [31]3 years ago
8 0
So I have this formula which is a^2+b^2=c^2
20^2+36^2=c^2
C=41.2 inches. As a result, the diagonal length is about 41.2 inches. Hope it help!
ch4aika [34]3 years ago
3 0
Pythagorean theorem should be used in this case.

a² + b² = c²   where a and b are the sides of the triangle and c is the hypotenuse

This theorem is typically taught as a way to calculate the hypotenuse of a triangle (which is what you are referring to)

But it may mean much more to you if you realize that this is an equation to describe shortest distance from the origin to some coordinate. I have found myself using it more as a way to find distance than I do to measure a length of a physical shape. 

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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

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Simple Interest Rate Formula: \displaystyle A = P(1 + r)^t

  • <em>P</em> is principle amount
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  • <em>t</em> is time (in years)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>P</em> = 7300

<em>r</em> = 3% = 0.03

<em>t</em> = 10

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

  1. Substitute in variables [Simple Interest Rate Formula]:                                 \displaystyle A = 7300(1 + 0.03)^{10}
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7 0
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7. The difference of Grandma Annie's age and twice Carl's is 22. Gran
OlgaM077 [116]
<h2>Systems of Equations Word Problems</h2>

To solve these questions, we can translate key words into operations:

  • <em>Difference</em> = subtract
  • <em>Twice</em> = double
  • <em>Less than</em> = subtract

<h2>Solving the Question</h2>

We're given:

  • Difference of Annie's age and twice Carl's age is 22
  • Annie's age is 13 less than 3 times Carl's age

There are two variables given two us: Annie's age and Carl's age.

  • Let Annie's age be equal to <em>x.</em>
  • Let Carl's age be equal to <em>y</em>.

Translate the given information into two equations:

  • Difference of Annie's age and twice Carl's age is 22
    ⇒ x-2y=22
  • Annie's age is 13 less than 3 times Carl's age
    ⇒ x=3y-13

Now, we can substitute the fist equation into the second one to solve for <em>y</em>:

(3y-13)-2y=22\\3y-13-2y=22\\y-13=22\\y=35

Now, substitute <em>y</em> back into the second equation to solve for <em>x</em>:

x=3y-13\\x=3(35)-13\\x=105-13\\x=92

<h2>Answer</h2>

Therefore, Grandma Annie is 92 years old.

6 0
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