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3 years ago

10.) Write -1/6 , 5/3 , -5/6 in order from least to greatest

Mathematics

1 answer:

never [62]3 years ago

6 0

Answer:

Least→Greatest

-5/6, -1/6, 5/3

Step-by-step explanation:

-5/6 = -0.8333333333333333

-1/6 = -0.1666666666666667

5/3 = 1.6666666666666667

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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

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Let

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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

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

$88=x*y$ -------> 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

case A) The area of the rectangle is $88$ square inches

The statement is True

See the procedure

Case B) 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

case C) 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

case D)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

case E) The rectangle has a width of $4$ inches

The statement is False

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Answer:

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Step-by-step explanation:

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There are two statements that are true: the angle at vertx D is acute and triangle DEF is a right triangle.

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Group of friends are going to see a movie. The admission cost is $8 per person. The table below represents the number of friends

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Answer:

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