The area of a rectangle is 44 m^2, and the length of the rectangle is 3 m less than twice the width. Find the dimensions of the rectangle.
length :
width :

Answers

Answer 1

Answer:

Length:8

Width:5.5

Step-by-step explanation:

We're given area = 44m^2, and the formula for the area of a rectangle is the length multiplied by the width. So,

A = L * w = 44

We're given that the length is 3m shorter than 2 times the width, which is 2w - 3. "2w" is the same as "2 times the width", and the 3 is subtracted because it says 3m shorter than 2 times the width. So L = 2w - 3, and we can substitute that into our equation above.

(2w - 3)(w) = 44

2w^2 - 3w - 44 = 0

Use the quadratic formula here.

x = {3 ± √(-3)^2 - 4(-44)(2)}/2(2)

= {3 ± √9 + 352}/4

= (3 ± 19)/4

You'll get two answers, but remember, we're measuring the length of the sides of shapes, so it has to be positive. It's impossible to have negative lengths, so we're going to stick with the (3 + 19)/4 answer, which is 22/4, which is 5.5. However, we are not finished yet. This is just the width. Now we need to plug it into the equation for length, which was 2w - 3

2(5.5) - 3 = 11 - 3 = 8

The length is 8m and the width is 5.5m.


Related Questions

2. Solve the following:
a. When six is added to four times a number the result is 50. Find the number.
b. The sum of a number and nine is multiplied by -2 and the answer is -8. Find the
number
10
m in​

Answers

Step-by-step explanation:

a) let number=x

four times a number=4x

Condition:

4x+6=50

4x=50-6

4x=44

x=44/4

x=11

b) Condition:

x+9×-2=-8

x-18=-8

x=-8+18

x=10

Note:if you need to ask any question please let me know.

What are Julie’s taxable wages as a data-entry operator if her withholding allowances total $1,500 and her annual gross pay is $24,500?

Answers

Julie's Taxable Wages:

Julie's taxable wages as a data-entry operator is:

= $23,000.

Data and Calculations:

a) Annual gross pay =           $24,500

Total withholding allowances = 1,500

Taxable wages (income) =  $23,000 ($24,500 - $1,500)

b) Julie's total withholding allowance of $1,500 is the total exemption that reduces how much income tax her employer can deduct from  Julie's paycheck.  This means that $1,500 will be deducted from $24,500, the gross pay, before arriving at her taxable income.

Thus, Julie's taxable wages represent the difference between her annual gross pay and her total withholding allowances.

Learn more about taxable income here: https://brainly.com/question/8653999

nagib spent a total of 640 last week including 128 he spent on groceries. What percentage was nagib total spending on groceries?

Answers

Answer:

20%

Step-by-step explanation:

To find the percent spend on groceries, take the amount spent on groceries over the total amount

128/640

.2

Multiply by 100 %

20%

PLEASE HELP VENN DIAGRAM!

Look at attached for the diagram!!!


In his diagram BH represents the students that have brown hair and W represents the students that are wearing a watch.


Is having brown hair independent of wearing a watch?
Please show some work if possible

Answers

Answer:

Yes.

Step-by-step explanation:

Since there is an overlap, that does mean some people with brown hair do wear watches, but not all of them do. Hence it's independent.

Please find the answer

Answers

9514 1404 393

Answer:

  -0.84

Step-by-step explanation:

In decimal, the expression is ...

  -1.34 +1.50 -1.00 = -0.84

__

As fractions, the expression is ...

  -67/50 +75/50 -50/50 = (-67+75-50)/50 = -42/50 = -21/25

the difference between a number and 6

Answers

Step-by-step explanation:

=The difference between a number and 6

the term difference is used in mathmatics as subtraction

let x = a number

x - 6 = the difference between that unknown number and 6

Answer:

Step-by-step explanation:

difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number

Let the number = x

x - 6

If it was worded as difference between 6 and a number, you would write it this way

6 - x

Find the area of the figure to the nearest tenth?

Am I right?

Answers

No, it’s a. Figure the area of the circle, which is 153.86. But that’s for the whole circle which is 360 degrees. Since you just need 120 degrees, 360/120=3 so divide 153.86 by 3 and you get 51.3

Algebra 2, please help! thank you
The function y = 2 cos 3(x + 2π∕3) +1 has a phase shift (or horizontal shift) of

A) –2π∕3
B) 3
C) 1
D) 2

Answers

Answer:

-2pi/3

Step-by-step explanation:

y = 2 cos 3(x + 2π∕3) +1

y = A sin(B(x + C)) + D  

amplitude is A

period is 2π/B

phase shift is C (positive is to the left)

vertical shift is D

We have a shift to the left of 2 pi /3

Answer:

A

Step-by-step explanation:

The standard cosine function has the form:

[tex]\displaystyle y = a\cos (b(x-c)) + d[/tex]

Where |a| is the amplitude, 2π / b is the period, c is the phase shift, and d is the vertical shift.

We have the function:

[tex]\displaystyle y = 2 \cos 3\left(x + \frac{2\pi}{3}\right) + 1[/tex]

We can rewrite this as:

[tex]\displaystyle y = \left(2\right)\cos 3\left(x - \left(-\frac{2\pi}{3}\right)\right) + 1[/tex]

Therefore, a = 2, b = 3, c = -2π/3, and d = 1.

Our phase shift is represented by c. Thus, the phase shift is -2π/3.

Our answer is A.

SOMEONE PLEASE HELP ME WITH THIS AND EXPLAIN EACH ONE AND HOW YOU DID IT PLEASE MY TEACHER SUCK AND ILL GIVE YOU BRAINLY IF U GET IT RIGHT!!!!

Answers

Answer:

a)

d)

Step-by-step explanation:

It's easiest to reduce each statement to its simplest form for comparison

Our test statement can be reduced by combining like terms

16x - 12 -24x + 4 = -8x - 8

this becomes our new gold standard

a) 4 + 16x - 12(1 + 2x)

apply the distributive property by multiplying terms in parenthesis by -12

4 + 16x - 12 - 24x

combine terms

-8x - 8     Yeaah, We have a winner as it exactly matches our gold standard.

b) 40x - 16 is already in simplest terms and does NOT match the gold standard.

c) 16x - 24x - 4 + 12

has the same cardinal values as the original, but differing signs, reducing gives -8x + 8

Not quite the same as a plus sign occurs where a negative exists in our gold standard.

d) -8x - 8  is already in simplest terms and exactly matches our gold standard. Yeah!

e) 10(1.6x - 1.2 - 2.4x + 4)

apply distributive property by multiplying each term in parenthesis by 10

16x - 12 - 24x + 40

combine like terms

-8x + 28 does NOT match our gold standard

Two points are plotted on a number line: -11.2 and 3.3. What is
the distance between these two points?

Answers

So if you are thinking about a number line you are starting at +3.3 then going in the negatives direction to -11.2
To find the difference you would just subtract. 11.2 - 3.3 = -7.9
-7.9 is the answer

write 10 toolbars on the keyboard​

Answers

Answer:

WINKEY + D. ...

WINKEY + SPACE. ...

SHIFT + Mouse Click on a taskbar button. ...

CTRL + SHIFT + Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a taskbar button. ...

SHIFT + Right Mouse Click on a grouped taskbar button. ...

CTRL + Mouse Click on a grouped taskbar button. ...

WINKEY + T.

ctrl + X = cut

ctrl + c = copy

make me brainliest

Which equation best describes the graph.

Answers

Answer:

A. [tex]y=4x-5[/tex]

Step-by-step explanation:

The equations are in slope-intercept form, which is written as y=mx+b. Where m is the slope and b is the y-intercept. So, first, find the slope. The line increases by 4 every unit; this means the slope is 4. Then, find the y-intercept. The y-intercept is where the line crosses the y-axis. Since the line crosses at -5, that is the b value. Therefore, the final answer is y=4x-5.

The answer of what the other people said is correct. It is A, you can use desmons website to check your answer

simplified the expression y(y2 - y + 4)

Answers

Answer:

y^3 -y^2 +4y

Step-by-step explanation:

y(y2 - y + 4)

Distribute

y^3 -y^2 +4y

- 200
Solve it i need help

Answers

Answer:

[tex]-10\sqrt{2}[/tex]

Step-by-step explanation:

[tex]-\sqrt{200}[/tex]

To factor an integer, we need to repeatedly divide it by the ascending sequence of primes (2, 3, 5)

In the end, the number of times each prime divides the original integer becomes its exponent.

Prime number 2 to the power of 3 equals 8, and 5 to the power of 2 equals 25.

[tex]-\sqrt{2^{3}*5^{2} }[/tex]

We need to rewrite certain factors as the product of two factors in order to remove them from the radical.

The exponent of the first factor in such a product will be equally divided by the radical index, allowing us to eliminate it from the radical.

Here, because their exponents are evenly divided by the radical index, we will be able to eliminate the following components from the radical:

[tex]2^{2}[/tex] and [tex]5^{2}[/tex]

[tex]-\sqrt{2^{2} *2*5^{2} }[/tex]

[tex]-10\sqrt{2}[/tex]

OAmalOHopeO

please helpppp.
Which of these could be the graph of F(x) = In x + 3?

A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answers

Answer:

c

Step-by-step explanation:

Try desmos

The Answer should be graph c

A right pyramid with a square base has
volume of 252 cubic centimeters. The
length of one of the sides of its base is 6
centimeters. Rounded to the nearest
centimeter, what is the vertical height of
the pyramid?

Answers

Hey there!

A right pyramid with a square base just means that it isn't slanted all funny. If you create a triangle with a point on one of the edges of the base, the center of the base, and the top of the pyramid, it would be a right triangle.

To find the volume of a right pyramid, you just take the base area, multiply it by the height, and then divide by three.

However, we are looking for the height. We have been given, so we will just go backwards.

252×3=756 (multiply instead of divide)

6×6=36 (base is a square, so you just square 6. This is our base area)

756/36=21

So, the vertical height of the pyramid is 21 cubic centimeters.

Have a wonderful day! :D


[tex] \frac{3 \cot30 }{2 \cosec30} [/tex]
Correct to two decimal places . Please help .​

Answers

9514 1404 393

Answer:

  0.02

Step-by-step explanation:

We assume your angle is in degrees:

  3cot(30°)/230 = 3√3/230 ≈ 0.02259

  ≈ 0.02 . . . . . rounded to 2 decimal places

__

This is a straightforward calculator problem. You may have to use one or another of the identities ...

  cot(30°) = 1/tan(30°) = tan(90° -30°) = tan(60°)

find the values ​​of x and y for the following matrix equations​

Answers

Answer:

Step-by-step explanation:

please help, will give brainliest for correct answer

Answers

ain't it just 3 for each one unless i'm missing something

Solve for x.
Sqrt8 (Sqrt2 - x) = 11

Answers

Answer:[tex]\frac{-7\sqrt{2} }{4}[/tex]

Step-by-step explanation:

So first, let's get rid of the parentheses. We can multiply it out to get [tex]\sqrt{16}-x\sqrt{8} =11[/tex]. We know that the square root of 16 is ±4, so now our equation is ±4 - [tex]x\sqrt{8}[/tex]=11. I'm guessing since the problem only has one solution it's most likely only positive 4, so let's revise our equation to 4 - [tex]x\sqrt{8}[/tex]=11. We can use inverse operations to make the a little easier to solve: -7= [tex]x\sqrt{8}[/tex]. We divide both sides by [tex]\sqrt{8}[/tex] to get [tex]\frac{-7}{\sqrt{8} } =x[/tex], which we can rationalize (remove the square root from the denominator so that it's a proper answer) by multiplying by [tex]\frac{\sqrt{8} }{\sqrt{8} }[/tex] (which is equal to one so we can use it) which is equal to [tex]\frac{-7\sqrt{8} }{8}[/tex]. Let's finish this by simplifying it. [tex]\sqrt{8} =2\sqrt{2}[/tex] (2x[tex]2^{2}[/tex]). We can simplify it further by simplifying the 2, making it [tex]\frac{-7\sqrt{2} }{4}[/tex].

Hope this wasn't too confusing! I'll answer any questions.

Answer:

x = -7 sqrt(2)/4

Step-by-step explanation:

Sqrt8 (Sqrt2 - x) = 11

Simplify sqrt(8) = sqrt(4*2) = 2 sqrt(2)

2 sqrt(2) (Sqrt2 - x) = 11

Distribute

2 *2 - 2 sqrt(2) x = 11

4 - 2 sqrt(2)x = 11

Subtract 4 from each side

4-2sqrt(2)x -4 = 11-4

-2 sqrt(2)x = 7

Divide each side by -2 sqrt(2)

-2 sqrt(2)x /-2 sqrt(2) = 7/ -2 sqrt(2)

x = - 7/ 2 sqrt(2)

Multiply top and bottom by sqrt(2)

x = - 7/ 2 sqrt(2)  * sqrt(2)/ sqrt(2)

x = -7 sqrt(2)/4

Hal's business made $500,000 last year. This year, his business made $650,000. What is the percentage difference? [?]%​

Answers

Answer: 23.08%

Explanation:

To find the percentage profit, you use the following formula:

(Current revenue - Old revenue/ Current revenue) x 100

Applying this formula will give us:

1) (650,000-500,000/650,000) x 100
2) (150,000/650,000) x 100
3) (0.2308) x 100
4) = 23.08%

Hope this helps, brainliest would be appreciated :)

Answer:

the answer is 30 percent.

Step-by-step explanation:

i did it on acellus.

2.
Mr. Champion has 14 fruit trees.
He has 1 apple tree and 1 plum tree, and the rest are divided evenly
among apricot, pear, and peach trees.
Last Thursday, Mr. Champion picked 6 apricots from each apricot
tree, 10 peaches from each peach tree, 3 pears from each pear tree, and 4
apples from the apple tree.
How many pieces of fruit did Mr. Champion pick last Thursday?
(Show your work)

Answers

Answer: 80 pieces of fruit

Explanation:
Let’s find out the amount of trees Mr Champion has.
He has 14 in total. 1 apple tree and 1 plum tree, and the rest are divided evenly among apricot, pear and peach trees. This means:
1 apple tree + 1 plum tree = 2 trees
14 - 2 = 12 trees
12 / 3 (varieties of trees) = 4
In conclusion, he has
1 apple tree, 1 plum tree, 4 apricot, pear and peach trees.

Now let’s go to the section where he picks the fruit.
6 apricots from 4 trees
10 peaches from 4 trees
3 pears from 4 trees
4 apples from 1 tree

This means:
(6 x 4) + (10 x 4) + (3 x 4) + (4 x 1) = total pieces of fruit picked

24 + 40 + 12 + 4 = total pieces of fruit picked

Now, you add up those four numbers, and you have your answer, 80.



Hope this helps!

175 2/3 + 456 2/3
add and simplify
help pls​

Answers

Answer:

460 1/3

Step-by-step explanation:

175 2/3 + 456 2/3

First convert to improper fraction,

527/3 + 854/3

=> 1381/3

Then After adding convert back to mixed fraction,

=> 460 1/3

How many times greater is
6.6 x 10^10
than
3 x 10^7
2.2
22
1000
2200

Answers

Answer:

2,200

Step-by-step explanation:

6.6 x 10^10

= 66,000,000,000

3 x 10^7

= 30,000,000

66,000,000,000 ÷ 30,000,000

2,200

Answer:

2200.

Step-by-step explanation:

6.6 / 3  *  10^10/10^7

= 2.2 * 10^3

= 2200

Is this a function graph

Answers

yes it is a function graph

Which improper fraction is equivalent to 17.8?

89/10

93/10

89/5

Answers

Answer:

17.8.

Step-by-step explanation:

89/5

= 17 4/5

= 17.8.

The correct improper fraction which is equivalent to 17.8 is,

⇒ 17.8 = 89 / 5

What is Rational number?

A number which can be written in the form of fraction p / q , where q is non zero, are called Rational numbers.

We have to given that;

The number is,

⇒ 17.8

Now,

We can simplify the number as;

⇒ 17.8

⇒ 178 /10

⇒ 89 / 5

Therefore, The correct improper fraction which is equivalent to 17.8 is,

⇒ 17.8 = 89 / 5

Learn more about the rational numbers visit:

https://brainly.com/question/12088221

#SPJ3


Using your textbook, solve the problems below. Show your work.
Solve for y:
y + 8 = 2

Answers

Answer:

i dont know lol

Step-by-step explanation:

You have $90,000 in cash. You can deposit it today in a mutual fund earning 7.5
percent semiannually; or you can wait, enjoy some of it, and invest $12,000 in your
brother's business after two years. Your brother is promising you a return of at least 12
percent on your investment. Whichever alternative you choose, you will need to cash
in at the end of 8 years. Assume your brother is trustworthy and that both investments
carry the same risk. Which one will you choose?

Answers

I will go to the Bahamas instead and think about later

Help please! Also please show the steps of how you got the answer!
30% of 40% of 15

Answers

Answer:

1.8

Step-by-step explanation:

First, find 40% of 15:

15(0.4)

= 6

Next, find 30% of this:

6(0.3)

= 1.8

So, the answer is 1.8

What is the ratio of 1:6 and 3:8

Answers

1:6 is the same as 1/6

3:8 is the same as 3/8

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