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svetoff [14.1K]
3 years ago
9

The area of a pentagon increased by 27 is the same as four times the area of the pentagon, minus 15. what is the area of the pen

tagon?
Mathematics
1 answer:
Basile [38]3 years ago
6 0
Set up an algebraic equation. This is what it looks like based on what the question tells you:

Let a = area of pentagon
a+27 = 4a-15
3a-15 = 27
3a = 42
a = 14
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Solve the inequality.<br><br>4x+6&lt;3x-5
Scrat [10]

Answer:

4x+6<3x-5

4x+6 =3x-5

collect like terms

4x-3x =3x-5

x= -11

x<-11

5 0
3 years ago
How many numbers between 111 and 100100100 (inclusive) are divisible by 333 and 101010?
EleoNora [17]
If the numbers that we are checking divisibility for are between 1-100, there are 3 numbers.

30, 60, and 90 are all divisible by both 3 and 10 because both 3 and 10 are factors of these 3 numbers.
5 0
2 years ago
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Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me
iris [78.8K]

Answer: The range is 13.  The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10

The standard deviation is given by :-

\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62

The range of the data : Maximum value -Minimum value

=16-3=13

6 0
2 years ago
Please help no link as answers
Katarina [22]

Step-by-step explanation:

You can imagine this figure as a rectangle and cube

If you want volume of this irregular figure than you have to do it like this:

V(figure)= V(rectangle)+ V(cube)

V(figure)= a*b*c+ a³

V(figure)= 4*3*(I don't see dimension on the left)+ 3³

V(figure)=12*(I don't see dimension on the left)+ 27

And only you have to to do is to set this dimension which I can't see.

6 0
2 years ago
Need some help please​
Dafna11 [192]

Answer:

About what?

Step-by-step explanation:

7 0
2 years ago
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