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Dahasolnce [82]
3 years ago
13

A parallelogram has angles of 80, 100, 80 and 100 degrees. What is it?

Mathematics
1 answer:
olchik [2.2K]3 years ago
5 0
It is a parallelogram because the opposite sides, 100 and 80, add up to 180.
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(x-9)(x+2) <br> see if u can find it
ycow [4]

Answer:

x^2 -7x-18

Step-by-step explanation:

(x-9)(x+2)

FOIL

first  x*x = x^2

outer 2x

inner -9x

last -9*2 =-18

Add together

x^2 +2x-9x-18

Combine like terms

x^2 -7x-18

4 0
3 years ago
[10 points] A manufacturer wants to design an open box having a square base and a surface area of 108 square inches. What dimens
MissTica

Answer:

  6 inches square by 3 inches high

Step-by-step explanation:

For a given surface area, the volume of an open-top box is maximized when it has the shape of half a cube. If the area were than of the whole cube, it would be 216 in² = 6×36 in².

That is, the bottom is 6 inches square, and the sides are 3 inches high.

_____

Let x and h represent the base edge length and box height, respectively. Then we have ...

  x² +4xh = 108 . . . . box surface area

Solving for height, we get ...

  h = (108 -x²)/(4x) = 27/x -x/4

The volume is the product of base area and height, so is ...

  V = x²h = x²(27/x -x/4) = 27x -x³/4

We want to maximize the volume, so we want to set its derivative to zero.

  dV/dx = 0 = 27 -(3/4)x²

  x² = (4/3)(27) = 36

  x = 6

  h = 108/x² = 3

The box is 6 inches square and 3 inches high.

_____

<em>Comment on maximum volume, minimum area</em>

In the general case of<em> an open-top box</em>, the volume is maximized when the cost of the bottom and the cost of each pair of opposite sides is the same. Here, the "cost" is simply the area, so the area of the bottom is 1/3 the total area, 36 in².

If the box has a <em>closed top</em>, then each pair of opposite sides will have the same cost for a maximum-volume box. If costs are uniform, the box is a cube.

7 0
3 years ago
put the fraction in least to greatest denomenator then put them in order please help me 1/2 3/4 1/5 7/10 please help me
DiKsa [7]

Working with fractions, you'll need to find the least common denominator (LCD). In this case, the LCD is 20.


Rewriting the four given numbers to the LCD, you would get:

10/20, 15/20, 4/20, and 14/20.


Now, you just organize it from least to greatest as:

4/20 < 10/20 < 14/20 < 15/20.


In other words, it is:

1/5 < 1/2 < 7/10 < 3/4.


3 0
3 years ago
The length of the side of a square is equal to the perimeter of the square divided by four. Which shows the correct graph relati
serious [3.7K]

Answer:

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Step-by-step explanation:

Let

x ----> the perimeter of the square

y ---> the side length of the square

Remember that

The perimeter of the square is given by the expression

P=4b

where

b is the length side of the square

solve for b

b=\frac{1}{4}P

That means

A ordered  pair in the coordinate plane following the rule

(x,y) -----> (x,x/4)

The y-coordinate is equal to the x-coordinate divided by 4

y=x/4

therefore

On a coordinate plane, the x-axis is labeled Perimeter of a square, and the y-axis is labeled Side length of a square. A line goes through points (4, 1), (8, 2).

Because

For the point (4,1)

substitute in the linear equation the value of x

y=4/4=1 ----> is ok

For the point (8,2)

substitute in the linear equation the value of x

y=8/4=2 ----> is ok

8 0
3 years ago
1/2 (b - 10) + 2b = 25
Serggg [28]

Answer:

the answer is 12

Step-by-step explanation:

Simplify both sides of the equation.

12(b−10)+2b=25

(12)(b)+(12)(−10)+2b=25(Distribute)

12b+−5+2b=25

(12b+2b)+(−5)=25 (Combine Like Terms)

52b+−5=25

52b−5=25

add 5 to both sides.

52b−5+5=25+5

52b=30

multiply both sides by 2/5.

(25)*(52b)=(25)*(30)

b=12

4 0
3 years ago
Read 2 more answers
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