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vodka [1.7K]
3 years ago
10

What is the area of this polygon? Enter your answer in the box. units²

Mathematics
1 answer:
Gwar [14]3 years ago
4 0

Answer:

  39 units²

Step-by-step explanation:

Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...

  (5 units)(6 units) = 30 units²

Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...

  (1/2)(6 units)(3 units) = 9 units²

Then the total area of the polygon MVEDR is ...

  30 units² +9 units² = 39 units²

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
Vesnalui [34]

Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

For the number of possible letters:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

7 0
3 years ago
Read 2 more answers
What is the sum of three consecutive even numbers is 30?
kykrilka [37]
8, 10, 12

A helpful equation:
x+x+1+x+2 = 30

Combine like terms
3x + 3 = 30

Subtract 3 from each side
3x = 27

Divide each side by to isolate x
x = 9

x = 9. However, 9 is not an even number. Let’s subtract 1 from 9 to get the first even number.

The first number is 8. The best two even numbers after 8 are 10 and 12.

8 + 10 + 12 = 30, thus this is the sequence.
5 0
3 years ago
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Determine the measure of x, to the nearest tenth of a degree.
Masteriza [31]

Answer:

About 73 degrees

Step-by-step explanation:

By the law of cosines:

26^2=11^2+27^2-2(11)(27)\cos(x) \\\\\\676=121+729-594\cos(x) \\\\\\-174=-594\cos(x) \\\\\\\cos(x)= 0.\overline{29} \\\\\\x\approx 73.0^{\circ}

Hope this helps!

4 0
3 years ago
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The symbol dg stands for
sergey [27]
Dg stands for "differential geometry"

hope this helps
4 0
3 years ago
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Choose the graphic representation of the quadratic function f(x)=x^2-8x+24
grigory [225]
The Answer is ----D----

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3 years ago
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