rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft what is the greatest number of cards that can be cut from the sheer?

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[tex] \huge \fbox{Answer : }[/tex]

The value of k for which

[tex] \sin(k - x) = \cos(x) [/tex]

is

[tex] \dfrac{\pi}{2} [/tex]

Tip: Before finding a volume, you'll need to know the FORMULA of it. So the formula for a volume is Length x Width x Height. Then you should be able to solve any shape.

Step-by-step explanation:

system 1 :

3x + 2y = 7

4x + 7y = 17

system 2 :

12x + 2y = 28

4x + 7y = 17

the first equation in the second system is not a multiple of either equation in the first system, and the second equation in the second system is the same as the second equation in the first system.

thus, the systems are not equivalent.

"12x" gives us the idea what the factor would have to be (4 or 3), if the second equation of the second system would be a multiple of any of the equations in the first system.

as we would have to multiply 3x by 4 to get 12x, and 4x by 3 to get 12x.

but then 2y×4 = 8y, or 2y×3 = 6y, and that is not the same as 2y (part of the first equation of the second system).

that is why this first equation of the second system is not a multiple of either equation in the first system.

and that makes it impossible for both systems to be equivalent. that the second equations are identical, is then not relevant anymore.

Answer:

B. Yes; the domain values are at regular intervals and the range values have a common factor 4.

Step-by-step explanation:

I calculated it logically

Answer:

299.25

Step-by-step explanation:

285x.05=14.25 tax

285 + 14.25=299.25 total cost

Answer: 16.5

Step-by-step explanation:

Original price is 22 remove 25% by multiplying 22 by 0.75

If trying to find the original price when the discount is 25% and the discounted price is 22 take 22 and divide it by 3 and then multiply it by 4

Answer:

1356

Step-by-step explanation:

Answer:

Not possible to calculate with the information

Step-by-step explanation:

Given

[tex]Elector = 5[/tex] (each)

Required

The number of Kansas senators presently in the US senate

First, it should be noted that the given information applies to 2008 presidential election

Next, the given information states the number of electors each of the given locations had in the electoral college.

There was no information about the number of senators in the senate (presently or 2008).

Hence, additional information is required to answer the question.

Answer:

10

Step-by-step explanation:

Given the expression below.

[x + 5) - (x - 5]

If x = 10, we will have to substitute x = 10 into the expression given as shown;

[x + 5) - (x - 5]

=[10 + 5) - (10 - 5]

= 15 - 5

= 10

Hence the required value is 10

Answer:

<6, <5, <7 all equal 48 degrees.

<1, <2, <3, <4 all equal 132 degrees.

Step-by-step explanation:

Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together

Vertical angles (like <2 & <1) have the same measurments

Corresponding angles (like <8 & <6) have the same measurements

Alternate interior angles (like <8 & <5) have the same measurments

Alternate exterior angles (like <6 & <7) have the same measurements

Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.

There's more, and there's other ways to do this, this is just an example. Good luck! <3

Answer y = 1/4 (x+3)^2 + 4

Step-by-step explanation:

If the focus is (-3, 3) and the directrix is y=5, the vertex is at (-3, 4). a = 1/4p, p=1, a=1/4. (h,k) is the vertex.

y=a(x-h)^2 +k

y=1/4(x+3)^2+4

Answer:

x=-2

y= 8

Step-by-step explanation:

Given data

10x – 2y = -36-----------1

7x – 2y = -30--------------2

-Subtract to eliminate y

3x-0= -6

3x= -6

x= -6/3

x= -2

Put x= -2 in

7(-2)– 2y = -30

-14-2y=-30

-14+30=2y

16=2y

y= 16/2

y= 8

Answer:

VOLUME:

amount of confetti stuffed in a tube

amount of soup in a can

amount of dirt in a flower pot

SURFACE AREA:

amount of paper to cover a can

amount of paint for outside of tube

amount of cardboard to make a tube

Step-by-step explanation:

Answer:

Archimedes

Step-by-step explanation:

The father of Mathematics is known as Archimedes

-TheUnknownScientist

Answer:

116

Step-by-step explanation:

Based on the measurements shown in the table, the C-axis intercept of the line is equal to 100.

In Mathematics, the y-intercept of any graph such as a linear function, exponential function, polynomial function, quadratic function, etc., generally occur at the point where the value of "x" is equal to zero (x = 0).

In Mathematics, the x-intercept can be defined as the point at which the graph of a linear function, exponential function, polynomial function, quadratic function, etc., crosses the x-coordinate and the value of "y" is equal to zero (y = 0).

In this scenario, the C-axis intercept of the line simply refers to x-intercept. Therefore, we can reasonably infer and logically deduce that the C-axis intercept of the line (x-intercept) is equal to 100 while the d-axis intercept of the line (y-intercept) is equal to 200.

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Answer:

It's not similar

Step-by-step explanation:

the triangle on the left is "85*" and the triangle on the right is "65*"

this is what I know based on my knowledge  

Answer:

B

Step-by-step explanation:

Substitute x =7 in each inequality

In A.

[tex] - 4 + 3 \times 7 < 17 \\ - 4 + 21 < 17 \\ \\ - 17 < 17[/tex]

Which is not true

B.

[tex] - 7 - 2 \times 7 > 1 \\ - 7 - 14 > 1 \\ - 21 > 1[/tex]

Which is not true.

C.

[tex]5 - 7 \leqslant 9 \\ - 2 \leqslant 9[/tex]

Which is true

D.

[tex]1 - 4 \times 7 \geqslant 25 \\ 1 - 28 \geqslant 25 \\ - 27 \geqslant 25 \\ [/tex]

Which is not true

so option C is the right answer

Answer:

Cici O i itcivouvitci cc tfurx

Step-by-step explanation:

vhihciycyivovitcu

Answer: The matching jacket requires 1/6 yards less fabric than the dress, which is 3 1/4 - 1/6 = 3 1/4 - 2/12 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 1/4 - 1/6 = 3 3/12 yards of fabric.

To add these two amounts of fabric together, you need to add the yards and the inches separately.

For the dress: 3 1/4 yards = 3 + 1/4 = 3 + 0.25 = 3.25

For the jacket: 3 3/12 yards = 3 + 3/12 = 3 + 0.25 = 3.25

So, for both pieces, the required fabric is 3.25 + 3.25 = 6.5 yards

Step-by-step explanation:

On solving the provided question, we can say that - the area of the following rectangle is 200 cm sq.

A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.

here,

we have

L = 20 cm

and B = 10 cm

Area of rectangle, A =L X B = 20 X 10 = 200 cm sq.

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Answer:

A.

Step-by-step explanation:

just put it i swear it will help lollllll

Answer:

[tex]y = - \frac{1}{3} x - 4[/tex]

Step-by-step explanation:

The equation of a kind can be written in the slope intercept form, y= mx +c, where m is the gradient and c is the y-intercept.

[tex]\boxed{gradient = \frac{y1 - y2}{x1- x2} }[/tex]

[tex]m = \frac{ - 2 - ( - 3)}{ - 6 - ( - 3)} [/tex]

[tex]m = \frac{ - 2 + 3}{ - 6 + 3}[/tex]

[tex]m = \frac{ 1}{ - 3} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{1}{3} x + c[/tex]

To find the value of c, substitute a pair of coordinates.

When x= -3, y= -3,

[tex] - 3 = - \frac{1}{3} ( - 3) + c[/tex]

[tex] - 3 = 1 + c[/tex]

c= -3 -1

c= -4

∴ The equation of the line is [tex]y = - \frac{1}{3} x -4[/tex].

Answer:

Step-by-step explanation:

1. ( -2, 2), (-1, 5)

   (5 - 2)/(-1 + 2)= 3/1= 3

2. (-4, 2), (2, 0)

   (0 - 2)/(2 + 4) = -2/6 = -1/3

3. (0, 3), (5, 1)

(1 - 3)/(5 - 0)= -2/5

4. (0, 0), (1, 1)

  (1 - 0)/(1 - 0)= 1/1= 1

5. (3, 0), (3, 1)

(1 - 0)/(3 - 3) = 1/0 = undefined

6. (0, -1)  (1, -1)

   (-1 + 1)/(1 - 0)= 0/1 = 0

Answer: Simplified expression- [tex]18y^{5} - 27y^{4} + 18y^{3}[/tex]

Step-by-step explanation: You get the product by simplifying it.

I tried my best, I hope this it what you were looking for:)