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torisob [31]
3 years ago
6

What is the simplified value of the expression below? (sqrt(324))/(sqrt(4))

Mathematics
2 answers:
Assoli18 [71]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Because:  sqrt(324) = 18 and sqrt(4) = 2

So, 18/2 = 9

Ur Welcome :)

Alona [7]3 years ago
4 0

Answer:

9

Step-by-step explanation:

(sqrt(324))/(sqrt(4))

Simplify by solving each bracket then divide

=18/2

=9

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Answer:

 -\frac{\sqrt2}{2} \\  or exact is −0.70710678...

Step-by-step explanation:

Getting the point!

  1. If we look at the unit circle and we find -\frac{3\pi }{4} we see it is in the 3rd quadrant.
  2. We know that all points in the 3rd quadrant have both negative x and negative y values.
  3. We know that all radians with the base of 4 on the unit circle have the points of (\frac{\sqrt{2}}{2} ,\frac{\sqrt{2}}{2})
  4. Because we are in the 3rd quadrant and both x and y are negative we know the point of -\frac{3\pi }{4}  is (-\frac{\sqrt{2}}{2}, -\frac{\sqrt{2}}{2})

Finding the sin!

  1. Because we know that sin is asking us for the y value
  2. We can just look at the point and find the y value!
  3. the y value is -\frac{\sqrt2}{2} \\
  4. Because this fraction does not need to be rationalized we are good!
  5. Use a calculator to find the exact value and you get -0.70710678...
  6. The final answer is  -\frac{\sqrt2}{2} \\ or exact is −0.70710678...

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4 0
2 years ago
Find the Sum of two consecutive odd numbers plus eighteen is 170
puteri [66]

Answer:

75, 77

Step-by-step explanation:

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

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a^2 + b^2 = c^2

x^2 + 20^2 = 25^2

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      - 400  - 400

x^2 = 225

x = 15

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