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timofeeve [1]
3 years ago
7

HELP PLEASE!!! Thanks!

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

2) \frac{\sqrt{77}}{11}

3) 5√2

Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

\frac{\sqrt{7}}{\sqrt{11}}

For rationalising the denominator multiply both numerator and denominator by √11,

\frac{\sqrt{77}}{11}

3. given expression,

\sqrt{50}

=\sqrt{25\times 2}

=\sqrt{25}\times \sqrt{2}   (\because \sqrt{ab}=\sqrt{a}\sqrt{b})

=5\sqrt{2}

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Given length of the garden = 35 feet

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At one company a level 1 engineer receives a salary of $45,000 and a level 2 receives a salary of $65,000. The company has a bud
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Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

Step-by-step explanation:

Let the number of engineers for level 1 be x.

Let the number of engineers for level 2 be y.

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Now Total number of engineers are equal to sum of number of engineers for level 1 and number of engineers for level 2.

Hence Framing in the equation form we get;

x+y=13 \ \ \ \ equation\ 1

Also Given:

Salary of level 1 engineers = $45,000

Salary of level 2 engineers = $65,000

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Hence equation can be framed as;

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\frac{45000x}{5000}+\frac{65000y}{5000}=\frac{785000}{5000}\\\\9x+13y=157 \ \ \ \ equation\ 2

Now Multiplying equation 1 by 9 we get;

9(x+y)=13\times9\\9x+9y= 117 \ \ \ \ equation\ 3

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Now Substituting the value of y in equation 1 we get

x+y=13\\x+10=13\\x=13-10\\x=3

Hence Company will hire 3 Engineers of Level 1 and 10 Engineers of level 2.

5 0
4 years ago
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