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Ipatiy [6.2K]
3 years ago
9

What is the value of x? Leave your answer in simplest radical form.

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Answer:

Step-by-step explanation:

As it is right angle triangle, we can use Pythagoras theorem

x² = 4² + 6²

x² = 16 + 36

x² = 52

x = √52 = √2*2*13

x = 2√13

OleMash [197]3 years ago
5 0

Step-by-step explanation:

By using Pythagoras theoram,

x²= (6)²+(4)²

{x}^{2}  = 36 + 16

{x}^{2}  = 52

x =  \sqrt{52}

x = 2 \sqrt{13}

optionD

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Christine's gross monthly salary at her job
jonny [76]

Answer:

  $2587.87 per month

Step-by-step explanation:

The listed deductions are ...

  • 25% withheld for federal income tax
  • 9.3% withheld for California state income tax
  • 6.2% withheld for Social Security tax
  • 1.45% withheld for Medicare Tax
  • 0.9% withheld for SDI- Disability Insurance
  • 5% goes into her retirement 401K account
  • $150 goes to health insurance/ dental for her family

The percentages have a total of ...

  25 +9.3 +6.2 +1.45 +0.9 +5 = 47.85 . . . percent

So, Christine's take-home pay is ...

  $5250(1 -0.4785) -150 = $2587.87 . . . per month

7 0
3 years ago
How do I write an algebraic equation for this word problem?
Doss [256]
Hi.

Please note that I haven't done much algebra.

4 more = 4 +

Twice as many than the runner up means 2 times the amount they ate (a variable) = 2n

So far we have 4 + 2n

Since it's an equation, we are going to know what it equals. In the problem, we find out that it's 11. So the equation looks like this:

4 + 2n = 11

If this didn't work out, please let me know.

~

I believe n = 3.5
7 0
3 years ago
Answer me step by step detailed
KengaRu [80]

Answer:

$11.25

Step-by-step explanation:

When finding a discount that has a percentage, we have to multiply the amount of the specific item being discounted and the percentage of the discount. In this case, we have a forty-five dollar headset at a twenty-five percent discount rate. To find the price, multiply the amount of the headset by the percentage of the discount.

$45 * 25%

$11.25

Meaning that the price of the discount will be eleven dollars and twenty five cents.

8 0
2 years ago
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From 2004 to 2014, the amount of money invested in renewable energy worldwide increased from $39.5 billion to $214.4 billion.
Sergio [31]
Take 214.4 and divide by 39.5. You end up with 5.47278487. Since we are talking percent, multiply that answer by 100 and round to the nearest tenth which gives us 542.70 or 542.8%. Pretty sure that is your answer

5 0
3 years ago
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In how many ways can 3
statuscvo [17]
<h3>Answer:  2300</h3>

Work Shown:

_{n} C _{r} = \frac{n!}{r!(n-r)!}\\\\_{25} C _{3}  = \frac{25!}{3!*(25-3)!}\\\\_{25} C _{3}  = \frac{25!}{3!*22!}\\\\_{25} C _{3}  = \frac{25*24*23*22!}{3!*22!}\\\\ _{25} C _{3}  = \frac{25*24*23}{3!}\\\\ _{25} C _{3}  = \frac{25*24*23}{3*2*1}\\\\ _{25} C _{3}  = \frac{13800}{6}\\\\ _{25} C _{3}  = 2300\\\\

3 0
2 years ago
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