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2 years ago

It takes Kevin 15 minutes to drive 52 miles.

Mathematics

1 answer:

Kaylis [27]2 years ago

5 0

Answer:

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

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

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

See the procedure

8 0

2 years ago

Read 2 more answers

Solve: 3.6 (5x4) divided 3+5.0=

zavuch27 [327]

The value of the expression will be 9.

Explanation

Given expression is : $\frac{3.6(5*4)}{3+5.0}$

First we will simplify both numerator and denominator separately using order of operations. So....

$3.6(5*4)=3.6(20)=72\\\\ and\\\\ 3+5.0=8$

Thus the expression....

$\frac{3.6(5*4)}{3+5.0}=\frac{72}{8}=9$

7 0

2 years ago

A recipe for a apple cider calls for 4 cups of apple and 3 cups of water. Witch equation can be used to find x, the percent of a

SpyIntel [72]

I also think it is B

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2 years ago

What is the sum answer of (1/3)9³ =

Verdich [7]

$\frac{1}{3}\cdot9^3=\frac{1}{3}\cdot9\cdot9\cdot9=\frac{9}{3}\cdot9\cdot9=3\cdot9\cdot9=27\cdot9=\boxed{243}$

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2 years ago

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Jodi is cutting out pieces of paper that measure 8 1/2 inches by 11 inches from a larger sheet of paper that has an area of 1000

attashe74 [19]

10 diffhhjjjkfdffyiihgfgghjjhggghh

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2 years ago