Tim wants to build a rectangular fence around his yard. He has 42 feet of fencing. If he wants the length to be twice the width, what is the largest possible length? Write an equation and solve.

Answers

Answer 1

Answer:

Rectangular fence dimensions:

x = 14 ft

w = 7  ft

A  = 98 ft²

Step-by-step explanation:

Rectangular fence dimensions:

x   length      and     w  width

Then   x  =  2*w      ⇒     w = x/2

Perimeter is

p = 2*x + 2*w

p = 2*x + 2* x/2

p = 2*x + x

3*x = 42

x = 14  ft      and     w = 14/2      ⇒     w = 7  ft


Related Questions

PLEASE HELP ME ASAP ILL GIVE BRAINLIEST How many triangles are shown? The triangles may overlap. 5 4 3 2

Answers

There are 3 triangles that are showing.
Answer:  5

============================================================

The list of triangles are:

Triangle MHP (bottom middle; smallest triangle)Triangle NHM (small triangle on the left)Triangle HPO (small triangle on the right)Triangle NPM (large triangle on the left)Triangle MOP (large triangle on the right)

The diagram below is probably a better way to see all the triangles.

Find the exact value by using a half-angle identity. cosine of pi divided by twelve

Answers

Answer:

The answer is C.

Step-by-step explanation:Th answer is C because you identify pi and devide it 12 which gives you the answer is which is C.

Answer:

[tex]\frac{1}{2} \sqrt{2+\sqrt{3}[/tex]

Step-by-step explanation:

just took the test

Pleas answer this question now fast in two minutes

Answers

Answer:

3

Step-by-step explanation:

Adjacent angles have a common side and no common interior points.

a=3 and b=4
b/2 ÷ 2 + (a2 - 1)

Answers

if a = 3 and b = 4, then:

4/2 ÷ 2 + (3^2 - 1)

2 ÷ 2 + (3^2 - 1)

1 + (9 - 1 )

1 + (8)

9

Please vote Brainliest if this helped you!

Answer:

Step-by-step explanation:

a = 3 & b = 4

b/2 ÷ 2 + (a² - 1) = 4/2 *1/2 + (3² -1)

                         = 1 + (9-1)

                        = 1 + 8

                       =9

simplifica: 49/90, se puede????

Answers

Answer:

49/90 is simplified

Step-by-step explanation:

Answer:

Step-by-step explanation:

49/90

Yasmin bought several items at the discount store. She paid 8.75 percent sales tax, an amount of $4.59, on the total amount of her purchase. What was the total amount of her purchase before tax was added? $40.16 $52.46 $190.63 $401.63

Answers

Answer:

  $52.46

Step-by-step explanation:

We are told that ...

  8.75% · purchase = $4.59

Dividing by the percentage, we have ...

  purchase = $4.59/0.0875 = $52.46

Yasmin's pre-tax total was $52.46.

Answer:

the correct answer is b aka 52.46

What is the difference from the point (-6,2) to the point (2,17)?

Answers

Answer: Distance is 17

Step-by-step explanation:

[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]

[tex](x2-x1) = (2 -6) = 8[/tex]

[tex](y2-y1) = (17 - 2) = 15[/tex]

Add them all together

[tex](8)2 + (15)2 = 64 + 225 = 289[/tex]

Square 289

[tex]\sqrt{289} =17[/tex]

how to find the angel in trigonometry when all the lengths of the right angled triangle already given.

Answers

Answer:

The three trigonometric ratios can be used to calculate the size of an angle in a right-angled triangle

Use rule ; SOHCAHTOA .Where sin x = opp/hyp

cos x = adj/hyp

tan x= opp/adj

Substitute the given values for the three sides

into any of the above rules

[tex]example = Hyp = 2\\opp = 1\\sin- x = 1/2\\x = sin^{-1} 1/2\\x = 30[/tex]

Step-by-step explanation:

I Hope It Helps :)

A store sells 7 different types of envelopes and 6 different types of postage stamps. How many different combinations are there to buy an envelope and stamp?

Answers

Answer

42

Explanation

Let’s say:

Set of envelopes: {a,b,c,d,e,f,g}

Set of postage stamps: {1,2,3,4,5,6}

For an envelope you can have:

1a 2a 3a 4a 5a 6a (6 different combinations)

This applies to all 7 different types of envelopes.

Therefore 7 • 6 = 42

Please Help !! I don’t know what to do :(

Answers

Answer:

(5+a)/ ( a-1)

Step-by-step explanation:

f(x) = ( 3+x) / (x-3)

Replace x with a+2

f(a+2) = ( 3+a+2) / (a+2-3)

Combine like terms

         = (5+a)/ ( a-1)

Answer:

C. (5+a)/(a-1)

Step-by-step explanation:

f(a+2)=(3+a+2)/(a+2-3)=(5+a)/(a-1)

Given: Parallelogram LMNO; MO ⊥ LN Prove: LMNO is a rhombus. Parallelogram L M N O is shown. Diagonals are drawn from point L to point N and from point M to point O and intersect at point P. A square is drawn around point P. Sides L M and O N are parallel and sides L O and M N are parallel. ♣: ♦: ♠: I WILL GIVE BRAINLIEST PLS ANSWER

Answers

The proofing is as follows:

Given that,

|LO|=|MN| and |LM|=|ON|

It means that  Opposite sides of a parallelogram are equa

Now, LN⊥OM

So,

∠LPO = ∠NPO = 90° ( by definition of perpendicular lines)

LPO ≅ ∠NPO (by definition of congruent angles)

|LP|=|PN| (diagonals of a parallelogram bisect each other)

based on this LMNO is a rhombus

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Answer:

All right angles are congruent

Reflexive property

Opposite sides of a parallelogram are congruent

Step-by-step explanation:

That what i got on my assignment

25x^2+58+16 how do you factor

Answers

Answer:

[tex](25x + 8)(x + 2)[/tex]

Step-by-step explanation:

[tex]25x^{2} + 58x + 16 = 25x^{2} + 50x + 8x + 16 = 25x(x + 2) + 8(x + 2) = (25x + 8)(x + 2)[/tex]

11. Write the equation of the line in slope-intercept form that is parallel to the line y = - 4x + 2 and
passes through (2-4)

Answers

Answer:

y= -4x                                                                                                                                                                                      

Step-by-step explanation:

hope this helps and lmk if you need anything!

At a certain time of day, a 40-foot building casts a 8 foot shadow. How tall is a person who casts a 2 foot shadow? A. 4 feet B. 6 feet C. 8 feet D. 10 feet

Answers

Answer:

D. 10 feet

Step-by-step explanation:

40/8 = x/2 --> cross multiply

8x = 80

x = 10

Option D is correct, the person who casts a 2 feet shadow is 10 foot tall.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that At a certain time of day, a 40-foot building casts a 8 foot shadow.

We need to find how tall is a person who casts a 2 foot shadow.

Let x be the height of the person.

Let us form a proportional equation

40/8=x/2

Apply cross multiplication

80=8x

Divide both sides by 8

x=10

Hence, the person who casts a 2 foot shadow is 10 foot tall.

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HELPPPPPPPPPPPP SNOG OR SOMEONE

Answers

Answer:

4

Step-by-step explanation:

We see that a point is (1, 4) so the answer is 4/1 = 4.

Hey there! :)

Answer:

Second choice: 4.

Step-by-step explanation:

The constant of proportionality is also the slope, or rate of change. The slope formula can be used to solve this problem:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in points from the graph into the equation.

[tex]m = \frac{4 - 0}{1 - 0}[/tex]

m = 4.

Therefore, the constant of proportionality is 4.

To solve 6x=30, Keith divided both sides of the equation by 6. Which property justify this step

Answers

Answer:

6x to find x on it's own you need to divide by the number infront,

Step-by-step explanation:

Keith divides both side of the equation by 6 in order to make x the subject of the equation. The opposite of multiplication is division

this is math can someone help pls a floppy disk can store 1440000 bytes of data. write the number 1440000 in standard form........ i would be grateful if u can help

Answers

Answer:

1.44×10^6 is the standard form

Step-by-step explanation:

i hope this will help you :)

de un tanque lleno de agua se utiliza la cuarta parte para lavar ropa, los 5/ 6 del resto para cocinar y aun quedan 100 litros de agua ¿ cuantos litros de agua tenia el tanque?¿ cuantos litros de agua se utilizan para cocinar?

Answers

Answer:

a. 800 litros

b. 500 litros

Step-by-step explanation:

Aquí, se nos dice que 1/4 del total se usa para lavar la ropa.

Lo que queda sería 1-1 / 4 = 3/4 Fuera de esto, 5/6 se usa para cocinar.

La fracción utilizada para cocinar es 5/6 * 3/4 ​​= 15/24 = 5/8

Y todavía nos quedan 100 litros.

La cantidad utilizada ya sería 1/4 + 5/8 = (2 + 5) / 8 = 7/8

Entonces la fracción no utilizada = 1-7 / 8 = 1/8

Ahora, es este 1/8 que corresponde a 100 litros.

Digamos que el volumen total es x litros inicialmente, Eso significa 1/8 * x = 100 x / 8 = 100 x = 800 litros

La fracción utilizada para cocinar es 5/8 del total, por lo que el valor sería 5/8 * 800 = 500 litros

which of the following is equivalent to the expression i^57. A.i B.1 C.-1 D.-i

Answers

Answer:

A: i

Step-by-step explanation:

i^57=i use the calculator

Please all the statements and reasons

Answers

Statement 1. [tex]\angle BCA\cong\angle DAC.[/tex]

Reason 1. Alternate interior angles formed when two parallel lines are cut by a transversal are congruent.

Statement 2. [tex]\overline{AC}\cong\overline{AC}.[/tex]

Reason 2. Reflexive congruence of segments (a segment is congruent to itself).

Statement 3. [tex]\triangle ACD \cong\triangle CAB.[/tex]

Reason 3. SAS congruence (using our two congruences above and the given congruence).

Statement 4. [tex]\angle ACD=\angle CAB.[/tex]

Reason 4. Corresponding parts of congruent triangles are congruent.

Statement 5. [tex]\overline{AB}\parallel\overline{CD}.[/tex]

Reason 5. If the alternate interior angles formed when two lines are cut by a transversal are congruent, then the lines are parallel.

Statement 6. [tex]ABCD[/tex] is a parallelogram.

Reason 6. The quadrilateral satisfies the definition of a parallelogram: a quadrilateral where both pairs of opposite sides are parallel.

There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 1/8. There are 56 marbles in the bag and each is equally likely to be chosen. Work out how many red marbles there must be

Answers

Answer:

7 red marbles

Step-by-step explanation:

P( red) = red marbles / total marbles = 1/8

We know there are 56 marbles

red marbles/56 = 1/8

Multiply by 56

red marbles = 1/8 *56 = 7

There are 7 red marbles

Factor completely 3x4 − 48

Answers

Answer:

[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]

Step-by-step explanation:

[tex] 3{x}^{4} - 48[/tex]

Factor out 3 from the expression:

[tex]3( {x}^{4} - 16)[/tex]

Using [tex] {a}^{2} - {b}^{2} = (a - b)(a + b)[/tex],factor the expression

[tex]3(( {x}^{2} ) ^{2} - {(4)}^{2} )[/tex]

[tex]3( {x}^{2} - 4)( {x}^{2} + 4)[/tex]

Again, factor using the formula of [tex] {a}^{2} - {b}^{2} [/tex]

[tex]3(x - 2)(x + 2)( {x}^{2} + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

3(x − 2)(x + 2)(x2 + 4)

Step-by-step explanation:

Took the quiz and got it right hope this helps :) , you can check out the other answer for explanation.

Graph the relation shown in the table. Is the relation a function? Why or why not? {(-1, 9), (0, -1), (-1, 4), (4, 9)}

Answers

Answer:

Not a function

Step-by-step explanation:

For an equation to be a function, there should be only one y-coordinate per x-coordinate. Since this relation has both (-1,9) and (-1,4), this is not a function.

Answer:not a function

Step-by-step explanation:

because when you put the points on the coordinate plane your shape will come out as a v shaped object. In mathematics, a function is a binary relation over two sets that associates to every element of the first set exactly one element of the second set. Typical examples are functions from integers to integers or from the real numbers to real numbers

A librarian has 4 times as many mysteries than romances. She lends out 12 mystery books. How many mystery books she have now if she started with 15 romances?

Answers

Answer:

48

Step-by-step explanation:

On one day in January, the temperature in Milwaukee, Wisconsin fell 12°F from the high temperature to a low temperature of -8°F. If t represents the high temperature, what is the value of t?

Answers

Answer:

t = 4

Step-by-step explanation:

you have -8 and twelve you equation is x -12 = -8 so we just have to flip the equation around to make it x = 12 -8 which is easy . You just have to make sure you don't get mixed up while flipping the signs.

The value of t is 4.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The temperature in January = 12 °F

And the low temperature is = -8 °F

The equation of temperature t can be given as

t= high temperature + low temperature

t= 12 - 8

t=4

The value of t is 4.

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Hi can someone please help meee

Brian plays basketball. In the past he has made 4 out of every 5 free throws. What is the probability, as a decimal, that Brian will make the next two free throws?

Answers

Answer:

0.64

Step-by-step explanation:

4 out of 5 free throws is 0.8 as a decimal.

The probability that Brian will make 2 free throws is 0.8 for the first one, and then 0.8 of that for the second one. That means you multiply the two to get your answer and 0.8 times 0.8 = 0.64.

Find the area of the shaded region where a = -1.88 and b = 2.12. Note: the graph may not be drawn to scale. Write only a number as your answer. Round to 4 decimal places (for example 0.6148). Do not write as a percentage. (picture in attachment)

Answers

Answer:

0.0471

Step-by-step explanation:

Here, we want to find the area of the shaded region.

The area of the shade region = 1- area of the unshaded region

The area of the unshaded region is as follows;

P(b) - P(a)

and that is;

P(-1.88<x<2.12) = 0.95294 from z table

So the area of the shaded region = 1-0.95294 =

0.04706 = 0.0471 to 4 d.p

Gabriella drives her car 400 miles and averages a certain speed. If the average speed had been 7 mph less she could have traveled only 350 miles in the same length of time what is her average speed

Answers

Answer:

Gabriella's average original speed was 56  [tex]\frac{mi}{h}[/tex]

Step-by-step explanation:

Let's use the equation that defines the average speed "v" of Gabriella during the time (t) that her trip took:

[tex]v = \frac{distance}{time} \\v=\frac{400}{t}[/tex]

Next let's write a similar average speed equation for the case in which she drove at (v - 7 mi/h) during the same time "t" and covered 350 miles:

[tex](v-7)=\frac{350}{t}[/tex]

Notice that the time "t" in the denominator appears equally in both equations we wrote, so let's isolate them on the right:

[tex]\frac{v}{400} =\frac{1}{t} \\and\\\frac{(v-7)}{350} =\frac{1}{t}[/tex]

now equal both expression since they both share the same value on the right, and solve for the unknown "v":

[tex]\frac{v}{400} =\frac{(v-7)}{350} \\350\,v=400\,(v-7)=\\350\,v=400\,v-2800\\2800=50\,v\\v=\frac{2800}{50} \,\,\frac{mi}{h}\\v=56\,\,\frac{mi}{h}[/tex]

Please help quicklyyy!Zachary sold his stock in a computer company. He received $34 per share. This was $8 less
than twice what he paid for it. What was the price of the computer stock per share when he
bought it?

Answers

Answer:

Hey there!

Let x be the price he paid for.

2x-8=34

2x=42

x=21

He bought the stock for 21 dollars.

Hope this helps :)

Answer:

The price per share  when he bought it was 21

Step-by-step explanation:

Let x = price he paid for the stock

34 = 2x-8

Add 8 to each side

34+8 = 2x-8 +8

42 = 2x

Divide by 2

42/2 = 2x/2

21 = x

The price per share  when he bought it was 21

Can someone help me with this question please.

Answers

Answer:

Cheapest price is £25.38

Step-by-step explanation:

To determine the cheapest price that Sue can get the 10 rolls of wallpaper, calculate the cost of getting 10 rolls at each given price offer

=>Cost of getting 10 rolls at £9.21 per roll:

10 × £9.21 = £92.1

=>Cost of getting 10 rolls at £25.38 per pack of 3 rolls

£25.38 = 3 rolls

x = 10 rolls

x = (25.38*10)/3 = 253.8/3

10 rolls would cost x = £84.6

=>Cost of getting 10 rolls at £42.85 per pack of 5 rolls:

£42.85 = 5 rolls

x = 10 rolls

x = (10*42.85)/5 = 428.5/5

x = £85.7

From our calculation, getting 10 rolls at the price offer of £25.38 per pack of 3 rolls is the cheapest.

Therefore, the cheapest price is £25.38

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