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Ulleksa [173]
3 years ago
11

Simplify the following

Mathematics
1 answer:
postnew [5]3 years ago
6 0

Answer:

<h2>see the answers ⤵️</h2>

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about</h3>
  • \sqrt{ \frac{x}{y} }  <  =  >  \frac{ \sqrt{x} }{ \sqrt{y} }  \\ and \:  \\  \sqrt{x}  \times  \sqrt{y}  =  \sqrt{xy}
  • PEMDAS

let's solve:

a) \sqrt{ \frac{9}{25} }

\frac{ \sqrt{9} }{ \sqrt{25} }

\frac{3}{5}

b) \frac{ \sqrt{12} }{ \sqrt{3} }

\frac{ \sqrt{12} }{ \sqrt{3} }  \times  \frac{ \sqrt{3} }{ \sqrt{3} }

\frac{ \sqrt{12 \times 3} }{ (\sqrt{3} )^{2} }

\frac{ \sqrt{36} }{3}

\frac{6}{3}

2

c) \frac{ \sqrt{15} }{ \sqrt{3} }

\sqrt{5}

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401.24m

Step-by-step explanation:

the length is,

97x2 + 66x3.14

3 0
2 years ago
The value of (-8/13×26/-3) ​
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Answer:

<h2>5.33</h2>

Step-by-step explanation:

Given the expression -8/13×26/-3, getting the equivalent expression means multiplying the two fractions -8/13 and 26/-3 together as shown;

\frac{-8}{13} * \frac{26}{-3}\\ \\= \frac{-8*26}{13*-3}\\ \\multiplying\ out \ the\  numerator\ and\ denominator;\\\\= \frac{-208}{-39} \\\\cancelling out the negative sign we will have;\\\\= \frac{208}{39}\\\\= 5.33\\The\ resulting\ value\ is\ 5.33

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3 years ago
What is another way to write the number 271
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Two hundred seventy one 
8 0
3 years ago
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8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
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6 0
3 years ago
QUESTION 4 of 10: Your average weekly take home wage is $615. You take a one-week paid vacation and a second week unpaid vacati
Anastasy [175]

Answer:

$45

Step-by-step explanation:

Here we need to calculate the income of this year.

We know that a year has 52 weeks. And, our payed weeks are 51, they are, the 50 weeks we work plus the one week of paid-vacation. The remaining week does not give us income, as is unpaid. So our total year income is:

51 * $615 = $31,365

So, our surplus will be our income minus our expenses:

Surplus = $31,365 - $31,320 = $45

Our cash surplus is $45

6 0
3 years ago
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