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kipiarov [429]
3 years ago
11

A pulley rotates through 65 in 2 minutes. how many rotations does the pulley make in 4 hours

Mathematics
1 answer:
Lemur [1.5K]3 years ago
7 0

Answer: 15600 rotations

Step-by-step explanation:

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How to graph the equation y= 2x + 3 and y= 2x -2?
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Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.

It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.

y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.

y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.

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Select all the equations that have {4} as its solution set. 5 + 2x = 3x + 37−x=12x79−3x=12x+19x2+3=10x−21
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Answer:

Option 3 (79−3x=12x+19)

Step-by-step explanation:

When replacing x with 4 you will get the answer 67 = 67, which is true! The other three options are not true when replacing x with 4.

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Step-by-step explanation:

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
Oliga [24]

Let

x-------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of the rectangle is equal to

A=x*y

The area of the two congruent right triangles  is equal to the area of the rectangle

A=2*44=88\ in^{2}

so

88=x*y -------> equation A

y=x-3 -----> equation B

Substitute equation B in equation A

x*[x-3]=88

x^{2} -3x-88=0 --------> equation that can be used  to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

x=11\ in -----> the length of the rectangle

Find the value of y

88=11*y

y=8\ in  ----> the width of the rectangle

Statements

<u>case A)</u> The area of the rectangle is 88 square inches

The statement is True

See the procedure

<u>Case B)</u> The equation  x*[x-3]=44 can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation x*[x-3]=88 can be used to solve for the dimensions of the triangle

<u>case C)</u> The equation x^{2} -3x-88=0 can be used to solve for the length of the rectangle

The statement is True

see the procedure

<u>case D)</u>The triangle has a base of 11 inches and a height of 8 inches

The statement is True

Because, the base of the triangle is equal to the length of the rectangle and the height of the triangle is equal to the width of the rectangle

<u>case E)</u> The rectangle has a width of 4 inches

The statement is False

See the procedure

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3 years ago
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