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atroni [7]
3 years ago
14

What is the value of x

Mathematics
1 answer:
Evgen [1.6K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

Given

with reference angle 45°

hypotenuse (h) = x

perpendicular (p) = 6√2

Now

with reference angle 45°

sin 45° = p / h

1 / √2 = 6√2 / x

Cross multiply ✖

6√2 * √2 = x

x = 6 * 2

x = 12

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(X^2+ x– 12) (x^2+ 10x + 25)
yulyashka [42]

Solution:

  • (x² + x – 12)(x² + 10x + 25)
  • => (x⁴ + 10x³ + 25x²) + (x³ + 10x² + 25x) + (-12x² - 120x - 300)
  • => x⁴ + 10x³ + 25x² + x³ + 10x² + 25x - 12x² - 120x - 300
  • => x⁴ + (10x³ + x³) + (25x² + 10x² - 12x²) + (25x - 120x) - 300
  • => x⁴ + (11x³) + (23x²) + (-95x) - 300
  • => x⁴ + 11x³ + 23x² - 95x - 300

The only term that has a x-variable is "-95x".

The coefficient of x is -95.

6 0
2 years ago
Read 2 more answers
Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending
Inessa05 [86]

Considering the withdraws and credits, Lucia's current available balance is of $65.53.

<h3>How do we find a balance?</h3>

It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.

In this problem, we have that:

  • Lucia has $412.76, with pending credits of $134.00.
  • She has pending withdraws of $481.23.

Hence, her avaiable balance is given by:

412.76 + 134 - 481.23 = $65.53.

More can be learned about balances at brainly.com/question/26867415

8 0
2 years ago
Dominic is driving on a long road trip. He currently has 10 gallons of gas in his car. Each hour that he drives, his car uses up
zhuklara [117]

Answer:

in three hours he would have used up 3.75 gallons of gas. He would have 6.25 gallons of gas left in his tank after driving 3 hours.

Step-by-step e

5 0
3 years ago
Find the distance between the points (9,3) and (–5,3).
Nutka1998 [239]

Answer:

The answer to the question provided is 14.

Step-by-step explanation:

》The Distance Formula:

d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}  }

》Plug in.

d =  \sqrt{( - 5 - 9)^{2} + (3 - 3) ^{2}  }  \\ d =  \sqrt{( - 14)^{2}  + (0) ^{2} }  \\ d =  \sqrt{196 + 0}  \\ d =  \sqrt{196}  \\ d = 14

6 0
3 years ago
One batch of cookies makes 18. How many
Viktor [21]

Answer:

6

Step-by-step explanation:

100/18=5 1/2

18*6=108

6 0
2 years ago
Read 2 more answers
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