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

what is 7432 divided by 6

Answers

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

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

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.

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.

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).

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:

BRAINLIEST
a. 45
b. 34
c. 29
d. 56​​

Answers

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

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:

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 .

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

Answers

Slope : 2
3
Intercept: 0,-1

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 .

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

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

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 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.

Nobody noticed my last questions please answer them though .

Answers

Answer:

28 degrees

Step-by-step explanation:

just subtract 62 from 90

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

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

Answers

Answer:

?

Step-by-step explanation:

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

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:

Which polygons are similar?

1
2
3
4

Answers

Triangle 1 and 4 are similar using AAA

number one and four.......

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

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

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

please help ! (4x3x8+9+9)

Answers

Answer:

114

Step-by-step explanation:

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.

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.

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

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]

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