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BartSMP [9]
3 years ago
10

The length and width of a rectangle are each less than 1 unit long Wich statement is true about the rectangle? A: the area is gr

eater than 2 square units B: the area is between 1 square unit and 2 square units C: the area is between 0 square units and 1 square unit D: the area equals 1 square unit
Mathematics
1 answer:
Svetach [21]3 years ago
4 0

Answer:

C: the area is between 0 square unit and 1 square unit.

Step-by-step explanation:

A rectangle is a quadrilateral which has equal and parallel opposite sides. Its area can be determined by;

Area of a rectangle = length x width

In the given question, the length and width of the rectangle are less than 1 unit long. Thus assume that the length is 0.9 cm and width is 0.6 cm, then;

Area = 0.9 x 0.6

        = 0.54

Area = 0.54 cm^{2}

Thus, since the length and width are both less than 1, then the area of the rectangle is between 0 square units and 1 square unit.

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X*2-6x-8 <br> Find the vertex<br> Find the X intercept<br> Find the y intercept<br> Graph
DIA [1.3K]
X^2 -6x -8 is a parabola in ax^2 + bx + c form
The axis of symmetry is -b/2a = 3
The vertex is (3,f(3)) = (3,-17)
The x-intercept is f(x)= 0 where x=-1.123, 7.123
Graphing:  it opens upwards

3 0
3 years ago
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions were to use 34.5 inche
OverLord2011 [107]

Answer:

Mario could solve using the following equation:  x=(84-34.5)/8.25 which equals 6.  

Step-by-step explanation:

If the tent comes with 7 feet of rope, we need to first convert that measurement to inches.  Since there are 12 inches in one foot, then 7feet of rope= 7 x 12 = 84 inches.  Of the 84 inches of rope, 34.5 inches of that will be used to tie a tarp on the top of the tent.  With the remaining rope, Mario will need to cut sections that measure 8 1/4 or 8.25 inches.  If 'x' represents the number of sections he can cut, he can set up the equation such that: x = (84-34.5)/8.25, or 6.

3 0
4 years ago
Find the coordinates of the vertices formed by the system of inequalities.
mel-nik [20]

Answer:

A

Step-by-step explanation:

To find the coordinates of the vertices , treat the inequalities as equations and solve them in pairs, simultaneously, that is

x + y = 9 → (1)

y - 2x = - 21 → (2) ← add 2x to both sides

y = - 21 + 2x → (3)

Substitute y = - 21 + 2x into (1)

x - 21 + 2x = 9

3x - 21 = 9 ( add 21 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Substitute x = 10 into (3)

y = - 21 + 20 = - 1

Coordinates of vertex = (10, - 1 )

---------------------------------------------------------------------

y - 2x = - 21 → (1)

y = - 4x + 15 → (2)

Substitute y = - 4x + 15 into (1)

- 4x + 15 - 2x = - 21

- 6x + 15 = - 21 ( subtract 15 from both sides )

- 6x = - 36 ( divide both sides by - 6 )

x = 6

Substitute x = 6 into (2)

y = - 24 + 15 = - 9

Coordinates of vertex = (6, - 9 )

------------------------------------------------------------------------

x + y = 9 → (1)

y = - 4x + 15 → (2)

Substitute y = - 4x + 15 into (1)

x - 4x + 15 = 9

- 3x + 15 = 9 ( subtract 15 from both sides )

- 3x = - 6 ( divide both sides by - 3 )

x = 2

Substitute x = 2 into (2)

y = - 8 + 15 = 7

Coordinates of vertex = (2, 7 )

7 0
3 years ago
New Mexico has an area of 121,298 square miles. California has an area of 155,779 square miles. How many greater is the area in
makkiz [27]
34,481 is the correct answer
3 0
3 years ago
6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
6 0
3 years ago
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