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polet [3.4K]
3 years ago
15

The figure below is a square. Find the length of side x in simplest radical form with a rational denominator.

Mathematics
1 answer:
telo118 [61]3 years ago
3 0

9514 1404 393

Answer:

  x = (√2)/2

Step-by-step explanation:

The diagonal is √2 times the side length (x), so ...

  1 = x√2

  √2 = 2x . . . . . multiply by √2

  (√2)/2 = x . . . . divide by 2

The side length x is (√2)/2.

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Melania has two jobs. During the day she works as an office clerk, and in the evening she works as a cashier. her office job pay
bulgar [2K]
Lets x = # of hours Melania  works at <span>office clerk
and y = </span># of hours Melania  works as a <span>cashier

x + y = 38 so x = 38 - y
13x + 9.25y = 434

substitute </span> x = 38 - y into 13x + 9.25y = 434

13x + 9.25y = 434
13(38 - y) + 9.25y = 434
494 - 13y + 9.25y = 434
                  -3.75y = -60
                          y = 16
x = 38 - y so x = 38 - 16 = 22

answer
Melania  works at office clerk = 22 hours
Melania  works as a cashier = 16 hours
7 0
3 years ago
HELPPP PLASSSS BRAINLIEST
Svetach [21]

Answer:

5

Step-by-step explanation:

If the parallelogram is being rotated the side length will stay the same as it is in the current state.

6 0
3 years ago
Will mark brainliest if ur correct! Pls and ty
galina1969 [7]

Answer:

138

Step-by-step explanation:

Hexagon total angle = 720

170+ 277 + 135 = 582

720 - 582 = 138

7 0
3 years ago
Otis has saved $18,500 so far to buy a house. He can put this amount into account that earns 5.1% simple interest, or another wi
Troyanec [42]

Answer:

J Compound interest; $298.65

Step-by-step explanation:

Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.

For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...

  1.051^4 = 1.22024337

and the effective multiplier for simple interest is ...

  1 +0.051·4 = 1.204

Then the difference in interest rate multiplier for the 4-year period is ...

  1.22024337 -1.204 = 0.01614337

That fraction of the $18500 principal is $298.65.

Compound interest earns $298.65 more than simple interest in this scenario.

Hope this helps, have an amazing day!

8 0
3 years ago
tickets for the school play cost $ 8 each for adults and $ 3 for students.what was the cost of 2 adult tickets and 1 student tic
olga nikolaevna [1]
 the answer is $19,because you add the cost of 2 adult tickets 18$ and the cost of 1 student ticket 3$ and get 19$
5 0
3 years ago
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