3. The width of a rectangle is 4 feet less than the length. The area is
12 ft. Find the dimensions of the rectangle.

Answers

Answer 1

Answer:

L = 6, w = 2

Step-by-step explanation:

Let w = width of rectangle

Let L = length of rectangle

w = L - 4

Area of rectangle = Lw

L (L - 4) = 12

L^2 - 4L = 12

L^2 - 4L - 12 = 0

(L - 6)(L + 2) = 0

L - 6 = 0

L = 6 (the other option doesn't work because dimensions can't be negative)

w = L - 4

w = 6 - 4

w = 2

Double check

A = Lw

A = 6 x 2

A = 12

It matches so we are right.


Related Questions

A student believes that a certain number cube is unfair and is more likely to land with a six facing up. The student rolls the number cube 45 times and the cube lands with a six facing up 12 times. Assuming the conditions for inference have been met, what is the 99% confidence interval for the true proportion of times the number cube would land with a six facing up?

0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.33 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot
0.27 plus-or-minus 2.33 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot
0.73 plus-or-minus 2.58 StartRoot StartFraction 0.73 (1 minus 0.73) Over 45 EndFraction EndRoot

Answers

Answer: Option #1

Step-by-step explanation:

99 % confidence level - so it has to be 2.58 not 2.33 ( thats 98% confidence level )

then 12times facing u out of 45 times .... 12/45= .27

Option #1 :  0.27 +/- 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot

The 99% confidence interval for the true proportion of times the number cube would land with a six facing up is 0.27 plus-or-minus 2.58 StartRoot StartFraction 0.27 (1 minus 0.27) Over 45 EndFraction EndRoot.

What is Confidence Interval?

This is an operation which is used to measure probability that a parameter will fall between a pair of values around the mean

99 % confidence level is closer to 2.58 and 12 times facing up out of 45 times which is 12/45= .27

Hence the reason why option  A was chosen as the most appropriate choice.

Tell me the definitions of the following vocabulary words:



quadrilateral:



parallelogram


trapeze:



rectangle:



diamond:



square: PLS HELP ME

Answers

Answer:

quadrilateral: a four-sided shape or figure and has four striaght sides

parallelogram: four-sided plane with oppisite paraell sides

trapezoid: a quadrilateral with one pair of parell sides  

rectangle: a figure with both four stright and four right angles. It is also quadrilateral, paraellagram,  

diamond: a quadrilateral that has four sides of the same lenght and is also a parallelogram .

square: a quadrilateral with four equal sides. It is a rectangle and parallagram.

Hope that helped you! :)

Step-by-step explanation:

what is 7432 divided by 6

Answers

1238.6 and a line over the 6 because it’s continuing

Plz help
The point of intersection of two function is also called the

A. Center
B. Equation
C. Vertex
D. Solution

Answers

Answer:

Step-by-step explanation: Vertex Equatiation Por mxa Plus B = X gtex Lp Cneter to 16u8 Killomtrss to ball

Hmm which one? Need it asap and will gift brainlest for answer

Answers

Answer:

divide 47.12 by 3.14

Step-by-step explanation:

that way it will give you an answe

The faces of a fair 6-sided cube are numbered 1 through 6.
What is the probability that a 2, 3, or 5 will land face-up on
the next roll?

Answers

Answer:

1/2

Step-by-step explanation:

2,3,5 are three out of a total of six options

3/6 = 1/2

Aidan makes 12 bracelets on Monday. He makes 8 more bracelets each day from Tuesday through Thursday. How many bracelets does Aidan have in all by the end of the day on Thursday? *
5 points

Answers

Answer:

He makes 44 bracelets on Friday.

Brainly me or heart if this helped!

Answer:

36 bracelets

Step-by-step explanation:

12+(3*8)=x

12+24=36

Aidan originally started with 12 bracelets. He makes 8 Tuesday through Thursday, which is three days. 8 * 3 is 24 plus 12 equals 36.

What is sin 20° cos 4° + cos 20° sin 4º equal to?

Answers

Answer:

Sin24

Step-by-step explanation:

Hope you see the given image .

Which polygons are similar?

1
2
3
4

Answers

Triangle 1 and 4 are similar using AAA

number one and four.......

BRAINLIEST
a. 45
b. 34
c. 29
d. 56​​

Answers

B. 34 is the correct answer for that problem. Hope this helps :)

How to find area when perimeter is given?

Answers

Put formula of perimeter and simplify to get value of any variable ,

Then replace the value of that variable in formula of area and then simplify it .

please help ! (4x3x8+9+9)

Answers

Answer:

114

Step-by-step explanation:

What is the distance between ( 7, -1) and ( 7, -5) and why?
I will give branily to whoever is right

Answers

Answer:

The distance is 4

Step-by-step explanation:

Given:

x1 = 7

x2 = 7

y1 = -1

y2 = -5

[tex]d=\sqrt{(x2-x1)^2+(y2-y1)^2} \\\\d=\sqrt{(7-7)^2+(-5+1)^2}\\\\d=\sqrt{(0)^2+(-4)^2} \\\\d=\sqrt{0+16} \\\\d=\sqrt{16} \\d=4[/tex]

Answer:

4 units

Step-by-step explanation:

the distance between two points is given by,

[tex]D = \sqrt{{(x_{1}-x_{2})}^{2} + {(y_{1}-y_{2})}^{2} } \\x_{1}=7; x_{2}=7; y_{1}=-1; y_{2}=-5\\D=\sqrt{{([7]-[7])}^{2} + {([-1]-[-5])}^{2} }\\D=\sqrt{{(0)}^{2} + {(4)}^{2} }\\D=\sqrt{0 + 16 }\\D=\sqrt{16}\\D=4[/tex]

Nobody noticed my last questions please answer them though .

Answers

Answer:

28 degrees

Step-by-step explanation:

just subtract 62 from 90

Please help. Which choice describes the shape of the data?

Answers

Answer:

?

Step-by-step explanation:

Marcus ran a 10-Kilometer race in 50 minutes. If Marcus maintains that same pace, how many kilometers can Marcus run in 1 hour?

Answers

Answer:

markus could run 12 kilometers in an hour

Step-by-step explanation:

Using the pattern of blocks below, how many blocks does Figure 26 have?

Answers

All of the start out with one and then add 2 from there and they add a block on top
More than thirty lol

HELP please please will give brainly

Answers

Answer:

1: x int = (-7,0)

y int = (0,-7)

2: x int = (4,0)

y int = (0,8)

Step-by-step explanation:

Just use a website called desmos. Simply your equation then plug it in.

Find the equation slope and y intercept with these two coordinates (0,-1) and (3,1)

Answers

Slope : 2
3
Intercept: 0,-1

An item is priced at $14.55. If the sales tax is 6%, what does the item cost including sales tax?

Answers

Answer:

$15.43

Step-by-step explanation:

$14.55 x 1.06 = $15.423

A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.

Answers

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

I need help again /:

Answers

Step-by-step explanation:

I would go with a or b but one sec let me work it out

A quadrilateral has vertices at (1.4).
(7,3), (3, -5), and (8,4). The
quadrilateral is dilated by a scale
factor of 3.5 with the origin as its
center. What are the coordinates of
the vertices of the image of the
quadrilateral?

Answers

Given:

A quadrilateral has vertices at (1,4), (7,3), (3, -5), and (8,4).

The quadrilateral is dilated by a scale factor of 3.5 with the origin as its center.

To find:

The coordinates of the vertices of the image of the quadrilateral.

Solution:

If a figure is dilated by a scale factor k with origin as it center, then

[tex](x,y)\to (kx,ky)[/tex]

It is given that the quadrilateral is dilated by a scale factor of 3.5 with the origin as its center. So, the rule of dilation is

[tex](x,y)\to (3.5x,3.5y)[/tex]

Using this rule, we get

[tex](1,4)\to (3.5(1),3.5(4))[/tex]

[tex](1,4)\to (3.5,14)[/tex]

Similarly,

[tex](7,3)\to (3.5(7),3.5(3))[/tex]

[tex](7,3)\to (24.5,10.5)[/tex]

[tex](3,-5)\to (3.5(3),3.5(-5))[/tex]

[tex](3,-5)\to (10.5,-17.5)[/tex]

And,

[tex](8,4)\to (3.5(8),3.5(4))[/tex]

[tex](8,4)\to (28,14)[/tex]

Therefore, the coordinates of the vertices of the image of the quadrilateral are (3.5,14), (24.5,10.5), (10.5,-17.5), (28,14).

Supposed B is the midpoint of line AC. Use the given information to find the missing measure. AB = 6Y -14, BC = 10-2Y 2Y, what is AC

Answers

Given:

B is the midpoint of line AC.

[tex]AB=6Y-14[/tex]

[tex]BC=10-2Y[/tex]

To find:

The length of AC.

Solution:

It is given that B is the midpoint of line AC. So,

[tex]AB=BC[/tex]

[tex]6Y-14=10-2Y[/tex]

[tex]6Y+2Y=10+14[/tex]

[tex]8Y=24[/tex]

Divide both sides by 8.

[tex]Y=\dfrac{24}{8}[/tex]

[tex]Y=3[/tex]

The value of Y is 3.

Now,

[tex]AC=AB+BC[/tex]

[tex]AC=6Y-14+10-2Y[/tex]

[tex]AC=4Y-4[/tex]

Putting [tex]Y=3[/tex], we get

[tex]AC=4(3)-4[/tex]

[tex]AC=12-4[/tex]

[tex]AC=8[/tex]

Therefore, the length of AC is 8 units.

If O is an angle in standard position and its terminal side passes through the point
(3,-1), find the exact value of tan 0 in simplest radical form.
please help !

Answers

Answer:

-1/3

Step-by-step explanation:

Tanya coasted down the sidewalk on her bike at a constant speed of 15
meters per second for 20 seconds. The distance she traveled was:
a. 0.75 m
b. 1.3 m
c. 35 m
d. 300 m

Answers

The answer is 300 meters because 20 x 15 is 300.

Can you guys help me with this problem

It is the picture

Answers

Answer:

Mulipte them

Step-by-step explanation:

for the 15 ft look at the other side which is 50 ft  and do 50-15 to see what is the other missing part

A new espresso coffee maker is being used at the coffee shop where you work. It heats water to 122°F in a matter of seconds. What is the equivalent
Celsius reading of this temperature?

Answers

Answer:

50°C

Step-by-step explanation:

(122°F − 32) × 5/9 = 50°C

4x+3(2x-1)-4x

Pls help

Answers

Answer:

6x-3

Step-by-step explanation:

4x+6x-3-4x

6x-3

Answer:

6x -3

Step-by-step explanation:

4x + 3(2x - 1) - 4x

4x + 6x - 3 - 4x

Combine same values

6x -3

Work out the value of x.

Answers

Answer:

x = 30°

Step-by-step explanation:

4x + 2x = 180°  because they are supplemental angles

6x = 180°

divide both sides of the equation by 6:

x = 30°

4x+2x=180
6x=180
6x/6 = 18/6
x=30
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