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inessss [21]
3 years ago
5

12 is 90% of what number? with steps

Mathematics
1 answer:
a_sh-v [17]3 years ago
6 0

Answer:

<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>
  • Here 12 is 90% of a number.
  • So we can say that 90% of That number is 12 .
  • In this way we can get the the number
<h3><u>Solution</u><u>:</u><u>-</u></h3>

Let,

the number=x

<h3>According to the question ,</h3>

{:}\longrightarrow\sf 90\% \:of \;x=12

  • We know 90%=90/100
  • so add it

{:}\longrightarrow\sf {\dfrac {90}{100}}\times x=12

{:}\longrightarrow\sf {\dfrac {90x}{100}}=12

  • Now use cross multiplication method

{:}\longrightarrow\sf 90x=12\times 100

{:}\longrightarrow\sf 90x=1200

  • Now interchange sides .

{:}\longrightarrow\sf x={\dfrac {1200}{90}}

{:}\longrightarrow\sf x={\dfrac {200}{15}}

  • Answer will come in decimals so we take approximate value.

{:}\longrightarrow\sf x=13.3

{:}\longrightarrow\sf x=approximately \:13

\thereforeThe number is 13.

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Step-by-step explanation:

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2 years ago
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9514 1404 393

Answer:

  34.5 square meters

Step-by-step explanation:

We assume you want to find the area of the shaded region. (The actual question is not visible here.)

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The figure shows the base of the triangle is 11 m, and the height is 1+5+3 = 9 m. So, the triangle area is ...

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7 0
3 years ago
What is the center and radius of the circle given by x2 + y2 - 10x - 12y + 24 = 0?​
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Answer:

centre (5, 6 ) , r = \sqrt{37}

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

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given

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x² - 10x + y² - 12y = - 24

using the method of completing the square

add ( half the coefficient of the x / y terms)² to both sides

x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36

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with centre (h, k ) = (5, 6 ) and r = \sqrt{37}

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\:  \:  \:  \:  \:  \:

=  \:  \:  \:  \: r = 5

Step-by-step explanation:

7 + 4(r + 3) = 9r - 6

  • <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses

7 + 4r + 12 = 9r - 6

  • add numbers

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4r - 9 =  - 6 - 19

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<em><u>- 5r =  - 6 - 19</u></em>

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- 5r =  - 25

  • divide both sides of the equation by <em>-</em><em>5</em>

<em>=  \:  \:  \:  \: r = 5</em>

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