Mr smith wants to put fence around his yard the dimensions of the yard are 61ft by 39ft the fencing is sold in whole meters how much fencing should he buy

Answers

Answer 1

The most appropriate choice for perimeter of rectangle will be given by-

Mr Smith must buy 61 m of fencing.

What is perimeter of rectangle?

It is equal to the total distance of the boundary of the rectangle.

If length of rectangle is l m and breadth of rectangle is b m, perimeter of rectangle is 2 x (l + b) [tex]m^2[/tex]

Here,

Length of yard = 61 ft

Breadth of yard = 39 ft

Perimeter of yard = 2 x (61 + 39)

                             = 2 x 100

                             = 200 ft

1 ft = 0.305 m

200 ft = 0.305 x 200 m

          = 61 m

Mr Smith must buy 61 m of fencing.

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Related Questions

For each equation, choose Rational or Irrational to show your answer.

Answers

[tex]\begin{gathered} 3x^2=27 \\ x^2=\frac{27}{3} \\ x^2=9 \\ x=\sqrt[]{9} \\ x\text{ = 3} \\ \text{This answer is rational} \end{gathered}[/tex][tex]\begin{gathered} y^3=49 \\ y\text{ =}\sqrt[3]{49}=\text{ 3.65930571} \\ This\text{ is irrational} \end{gathered}[/tex][tex]\begin{gathered} p^2=169 \\ p\text{ = }\sqrt[]{169} \\ p\text{ = 13} \\ \text{This is rational} \end{gathered}[/tex][tex]\begin{gathered} u\sin g\text{ Pythagoras} \\ d\text{ =}\sqrt[]{6^2+4^2} \\ d\text{ =}\sqrt[]{52} \\ d\text{ = 7.21102551 blocks from the start} \\ \end{gathered}[/tex]

1. A manufacturing line can produce 15 widgets
in 2 minutes. How many widgets can the line
procuce in 30 minutes?

Answers

Answer:

225

Step-by-step explanation:

number of 2 minutes in 30 minutes

= 30 ÷ 2 = 15

each 2 minutes produces 15 widgets , then

15 ( lots of 2 minutes ) produces 15 × 15 = 225 widgets

Mario can save 40% on headphones at Best Buy with a coupon from the paper. Circle all of
the expressions he can use to find the discounted price of the headphones with an original
price of p.
a. 0.40p b. 0.60p c. p – 0.40 d. p – 0.40p

Answers

Answer: B and D.

Step-by-step explanation:

1) Find 40% as a decimal

100% = 1

40% = 0.4

2) It's -40% of its total value. So minus its value time 40%.

p - 0.4p

3) Simplify

0.6p

A) 0.4p not equal 0.6p X

B) 0.6p = 0.6p

C) p - 0.4 not equal 0.6p X

D) p-0.4p = 0.6p


A sample contains 500 grams of titanium-51, which has a half-life of 6 minutes.

Write an expression for A to represent the amount of titanium-51 remaining in the sample after t minutes.

A=

Answers

Titanium is used in aerospace (jet engines, missiles, and spacecraft), military, industrial processes (chemicals and petrochemicals, desalination plants, pulp, and paper), automotive, agriculture (farming), medical prostheses, orthopedic implants, dental and endodontic instruments and files, dental implants, sporting goods, jewelry, cell phones, and other applications, titanium can be alloyed with iron, aluminum, vanadium, and molybdenum, among other elements. And it's half life as per question is [tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

What is titanium?

The chemical element titanium has atomic number 22 and the symbol Ti. A transition metal with a silver hue, low density, and high strength that is resistant to corrosion in sea water, aqua regia, and chlorine can be created by reducing the only form it is found in the nature—an oxide.

William Gregor found the titanium in Cornwall, Great Britain, in 1791. Martin Heinrich Klaproth gave the metal the Titans' name from Greek mythology. The element is found in practically all living organisms, as well as bodies of water, rocks, and soils. It is mostly found in the minerals rutile and ilmenite, which are widely distributed in the Earth's crust and lithosphere. The Kroll and Hunter procedures are used to separate the metal from its main mineral ores. Titanium dioxide, the most prevalent substance, is a well-liked photocatalyst and is utilized in the production of white pigments. In addition, there are other substances such titanium tetrachloride (TiCl4), which is used in smoke screens and catalysts, and titanium trichloride (TiCl3), which is a catalyst in the creation of polypropylene.

This equation can be used to calculate the quantity of unstable nuclei left after time t:

[tex]N(t)=N(0)*0.5^{\frac{t}{T} }[/tex]

where,

N(t) = remaining quantity of substance after time t has elapsed

N(0)=  initial quantity of this substance

T= half life

So, as per question,

[tex]A(t)=A(500)*0.5^{\frac{t}{6} }[/tex]

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Answer:

A = 500 (1-0.5)^t/6 =500 (0.5)^t/6

Step-by-step explanation:

Took the test, this is the correct answer

A(t)=P (1-decay rate)^t

P=initial amount

Decay rate = 1/2=0.5

t=time

Make sure use t in minutes for the next calculation

look at the screenshot i need help i will give 50 points

Answers

Answer:

A. 6

B. 2

Step-by-step explanation:

28/4 = 6

4/2=2

ANSWER!
A=7
B=2

EXPLANATION!

For A you are trying to find 2 numbers that multiply to 28, you already have the 4 so you just need to divide

28/4=7

Using that same reasoning you can do 4 divided by 2
4/2=2

The measure of the supplement of an angle is 14 less than 3 times the measure of the
complement. Find the measure of the complement.

Answers

The complementary angle to 38° is 52°.

What is an angle?

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves. Angle can also refer to the length of a rotation or an angle. This metric represents the relationship between a circular arc's length and radius.

Let the angle be x°

Then the compliment of the angle = (90-x)°

and supplement of the angle = (180-x)°

According to question, (180-x) + 14 = 3(90-x)

or, 180-x+14 = 270-3x

or, -x+3x = 270-194

or, 2x = 76

or, x = 76/2 = 38°

Hence, the complementary angle to 38° is = 90-38 = 52°

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Ayuda es para hoy

Diego compra dos boletos para el juego de diversiones(Montaña rusa) cada uno le costó $4 dólares, para llenar el juego y empezar la vuelta hace falta 4 personas más, ¿Cuánto recaudará el cobrador del juego por cada vuelta?

A)$ 12 dólares

B)$ 24 dólares

C)$ 8 dólares

D)$ 32 dólares

Answers

Answer:

es la b

Step-by-step explanation:

porque diego es good

:D

which term could be used to describe the graph of a line on a coordinate plane test points independent variable dependent variable or set of solutions

Answers

Cartesian Co-ordinate system is used to describe graph of a line along a plane to test independent variable vs dependent variable.

the answer is test points

round 0.2099 to 2 decimal place. give explanations too please.​

Answers

0.21

0.2099
Two decimal places is the second 0 in the number ~0.2099
^
You look at the number next to it which in this case is 9 ~0.2099
^
If the number is 4 or less you round it down to 0 and if the number is five or more you round it up to 10, so 9 rounded is 10 because it’s bigger than 5

10 is carried along to make 0.2100 and that can be simplified down to 0.21 because you don’t need the 0’s necessarily

15. Write the conditional statement that the Venn diagram represents. Be sure to use
the "if, then" format (2 points).
Flower
Rose
Answer:

Answers

The conditional statement that the Venn diagram represents is:

"If it is a rose, then it is a flower".

How to write the conditional statement?

Here we have a Venn diagram, in it we can see that the set called "roses" is included in the set called "flowers".

So, the conditional statement is:

"if it belongs to the smaller set, then it belongs to the larger set"

This is kinda trivial.

For our case, it will be written as.

"If it is a rose, then it is a flower".

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Let ​f(x)=−3x−1 and ​g(x)=x2− 1.
Find ​(f◦​g)(−1​).

Answers

Answer:

If i'm correct and the symbol between the f and g is multiplication the answer is 0.

Step-by-step explanation:

I have linked how I got this answer in the image below, I hope this is what you were looking for.

The life expectancy of a new born kid increases at a rate of 1.5 years for every day the kid is alive during the first 60 days after being born. The expectancy reduces by 0.5 year for every day the kid is ill during these first 60 days. The initial life expectancy of a new born kid is 10 years. What is the life expectancy of a kid born on a Tuesday, after 37 days of being born (assume the kid is alive on the 37th day) if the kid falls ill on every Sunday?​

Answers

The total life expectancy of the kid is 45.5 years.

rate of increase of life expectancy = 1.5 years per day

The rate of reduction of life expectancy = 0.5 years per day

37 days will mean ((7x5)+2), i.e., 5 complete weeks and 2 extra days.

Let the 2 extra days be Tuesday and Wednesday, now the 5 complete weeks will start from Thursday and after 37 days, the day will be Wednesday.

In this duration 5 Sundays will come on which the kid falls ill, so the reduction in life expectancy will be: 0.5 x 5= 2.5 years.

The remaining days will be: 37 - 5 = 32

So, the increase in life expectancy will be: 1.5 x 32= 48 years.

Thus, the total life expectancy of the kid is found to be : (48-2.5)years=45.5 years.

What are linear equations?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where y and x are the variables.

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Pls help i did'nt have time to do my h.w i have a test tm

Answers

Answer:

Step-by-step explanation:

The triangles are congruent because they have the same shape and size. They are also related in another way that I can't remember.

Rewrite 4/9 and 7/15 so that they have a common denominator

Answers

it would be 20/45 and for 21/45 not so sure if that’s correct tho I haven’t done this in a long time

Which inequality in standard form represents the shaded region?Find all the solutions to the equation 4x3 + 16x2 + 28x = 0.

0, negative 4 + 2 i StartRoot 3 EndRoot, negative 4 negative 2 i StartRoot 3 EndRoot
0, 4 + 2 i StartRoot 3 EndRoot, 4 minus 2 i StartRoot 3 EndRoot
0, negative 2 + i StartRoot 3 EndRoot, negative 2 minus i StartRoot 3 EndRoot
0, 2 + StartRoot 3 EndRoot, 2 minus i StartRoot 3 EndRoot

Answers

All solutions to the cubic equation, 4•x³ + 16•x² + 28•x = 0, are presented as follows;

0, -2 + i•√(3), -2 - i•√(3), which is the option;

0, negative 2 + i StartRoot 3 EndRoot, negative 2 minus i StartRoot 3 EndRoot

What are the solutions to a cubic function?

The solutions of a cubic function are given by the values at which the graph intersects the horizontal axis.

First Part

The graph showing the shaded region of the inequality is left out

Second part;

The given equation can be presented as follows;

4•x³ + 16•x² + 28•x = 0

Required;

To find all the solutions of the equation

Solution;

The solutions of the equation are given by the locations on the graph where the equation intersects the x–axis, which are therefore, the points where the function is equal to 0

The equation 4•x³ + 16•x² + 28•x = 0 can therefore be used to find the solution as follows;

4•x³ + 16•x² + 28•x = 0

x•(4•x² + 16•x + 28) = 0

x•(4)•(x² + 4•x + 7) = 0

x•(x² + 4•x + 7) = 0 ÷ (4) = 0

x•(x² + 4•x + 7) = 0

Which by the multiplicative identity of 0, gives;

x = 0 or x² + 4•x + 7 = 0

Therefore;

x = 0 is a solution to the equation

The other solutions are found from the quadratic equation, x² + 4•x + 7 = 0, using the quadratic formula that gives the solution to the general quadratic equation, a•x² + b•x + c = 0, as follows;

[tex] \displaystyle{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4 \times a \times c } }{2 \times a }}[/tex]

Comparing the general form of the quadratic equation to the quadratic equation from the question;

a•x² + b•x + c = 0

x² + 4•x + 7 = 0

Gives;

a = 1

b = 4

c = 7

Plugging in the above values of a, b, and c, we get;

[tex] \displaystyle{x = \frac{ - 4 \pm \sqrt{ {4}^{2} - 4 \times 1 \times 7 } }{2 \times 1} = \frac{ - 4 \pm 2 \cdot\sqrt{ - 3} }{2} }[/tex]

Which gives;

x = -2 ± √(-3) = -2 ± i•√(3)

The other solutions are therefore;

x = -2 + i•√(3) and x = -2 - i•√(3)

The solutions of the equation, 4•x³ + 16•x² + 28•x = 0, are therefore;

x = 0, x = -2+i•√(3), and x = -2 - i•√(3)

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If P(A|B) = 35%, and P(B) = 70%. Find P(A) given that A and B are independent.

Answers

P(A) given that A and B are independent is; 35%

How to solve Conditional Probability?

P(A|B) is defined as a conditional probability and it means the probability of event A that depends on another event B. It is also known as "the probability of A given B"

Now, the formula to find P(A|B) is;

P(A|B) = P(A∩B) / P(B)

Where;

P(A∩B) = P(A) *  P(B)

Thus;

P(A|B) = (P(A) *  P(B))/(P(B)

Plugging in the relevant values gives;

0.35 = P(A)

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Keesha walks 12 blocks to school every day. One day, she counts 88 sidewalk squares in one block. If each block has the same number of sidewalk squares, how many squares does Keesha walk on as she walks to and from school each day?​

Answers

Answer:

Step-by-step explanation:

If Keesha walks 12 blocks to school and its 88 squares in the sidewalk then you multiply 12 by 88 and get 1056:)

hope this helps ^^

Question
What is the expression after applying the distributive property?

−0.4(−2+(−9))

Enter your answer by filling in the boxes.

Answers

The expression after applying the distributive property, the formula becomes 0.8 + 3.6.

Describe algebra:

Algebra is the study of mathematical symbols, while logic is the manipulation of those symbols.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule is used.

When you combine the results of two or more arithmetic operations, the result is the same as when you multiply each addend individually by the quantity and then unite the resultant products.

Given below is the phrase.

= −0.4 (−2 + (−9))

Once the distributive property has been used, we have

= 0.8 + 3.6

The result of applying the distributive property will be the equation 0.8 + 3.6.

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5-2x<11
i don’t know how to solve this

Answers

Answer:

x>3

Step-by-step explanation:

5-2x<11

subtract 5on both sides of the equation

-2x<11-5

-2x<6

divide through by n negative 2,and the equality will change

X>-3

Hello there! Let's solve this inequality for the required variable, which is x.

With the given inequality, it can't be done in just one step, however it can be done in a few steps, which are as follows:

Subtract 5 from both sides.

[tex]\implies\boldsymbol{5-2x < 11}[/tex]

[tex]\implies\boldsymbol{-2x < 6}[/tex]

Divide both sides by -2. Remember to flip the inequality sign.

[tex]\underbrace{\implies\boldsymbol{x > -3}}_\sf{answer}}[/tex]

I hope it helps, feel free to reach out if you have any queries :)

HELP MEEEE PLEASE!!

Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. Company B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte. For what number of additional gigabytes would the two companies charge the same amount?

_________ additional gigabytes of data

Answers

Considering the definition of an equation and the way to solve it, for 6 additional gigabytes of data the two companies would charge the same amount.

Definition of equation

An equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values appear.

The solution of a equation means determining the value that satisfies it. To solve an equation, keep in mind:

When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.

This case

Being "x" the number of miles driven, and knowing that:

Company A charges $20.40 monthly for up to 3 gigabytes of data and $9.80 per additional gigabyte. → Price of company A= 20.40 +9.80xCompany B charges $18.60 monthly for up to 3 gigabytes of data and $10.10 per additional gigabyte.→ Price of company B= 18.60 +10.10x

If the price charged by each company is the same, the equation is:

Price of company A= Price of company B

20.40 +9.80x= 18.60 +10.10x

Solving:

20.40 - 18.60= 10.10x - 9.80x

1.8= 0.3x

1.8 ÷ 0.3= x

6= x

Finally, for 6 of additional gigabytes the two companies would charge the same amount.

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Use the drop-down menus to complete the statements to match the information shown by the graph.​

Answers

Using the concept of the slope of a linear function, it is found that:

Pool A is filing up slower than Pool B because the slope of the graph for Pool A is less than that of the graph for Pool B.The slope of the graph tells you the unit rate in gallons per minute.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).

For this problem, we have that Pool B starts with significantly less water than Pool A, but their volumes get closer, meaning that Pool B fills faster and has a higher slope, that is, it fills more gallons per minute into the pool.

The information above it what we use to complete the statements.

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Which is the better buy: 1 liter of soda for $1, or 1 gallon of soda for $4? Justify your answer.

Answers

It is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4  .

As given in the question,

1 liter of soda for $1                    ____(1)

1 gallon of soda for $4

Relation between gallons and liters is given by:

1 gallon is equal to 3.785 liters

1 gallon of soda = $4

⇒ 3.785 liter = $4

⇒ 1 liter = $ ( 4 / 3.785 )

⇒ 1 liter = $ 1.056                _____(2)

From (1) and (2)

$1.056 > $1

It shows $1.056 is little bit higher than $1.

Therefore, it is better to buy 1 liter of soda for $1 compare to 1 gallon of soda for $4 .

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whats 324/378 simplfy

Answers

Answer:6/7

Step-by-step explanation:

Answer:

162/189

Step-by-step explanation:

Divide by 2...................

Jason is putting crown molding in his master bedroom. The length of the room is 22 feet, and the width is 20 feet.How much crown molding will Jason need if he wants to have 20% extra in case of mistakes or damage?

Answers

SOLUTION:

Step 1:

In this question, we are given the following:

Jason is putting crown molding in his master bedroom. The length of the room is 22 feet, and the width is 20 feet.

How much crown molding will Jason need if he wants to have 20% extra in case of mistakes or damage?

Step 2:

The details of the solution are as follows:

[tex]\begin{gathered} Perimeter\text{ of the Rectangle = Length + Breadth + Length + Breadth} \\ Perimeter\text{ of the Rectangle = 22 + 20 + 22 + 20 = 84 feet} \end{gathered}[/tex]

Then, we need to calculate 20% increase of 84 feet, we have that:

[tex]\begin{gathered} =(\frac{100\text{ + 20 \rparen}}{100}\text{ x 84 feet} \\ =\text{ }\frac{120}{100}\text{ x 84} \\ =1.\text{ 2 x 84} \\ \text{= 100. 8 feet} \end{gathered}[/tex]

CONCLUSION:

The final answer is:

[tex]100\text{ . 8 feet}[/tex]

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

A. would be a quotient of 34 and a remainder of 14

B. would be a quotient of 22 and a remainder of 10

C. would be a quotient of 20 and a remainder of 34

find the equation of the line

Answers

Answer:

y = 1/2x + 1/2

Step-by-step explanation:

I'm going to give me answer is gradient/slope form :

To work out the gradient we make a triangle from the line and do :

change in y / change in x

You should get 1/2

Now we have y=1/2x + c

to work out c we substitute a point from the line and solve for c :

Point (1 , 1)

1 = 1/2(1) + c

1 = 1/2 + c

c = 1/2

So our final answer is y = 1/2x + 1/2

Hope this helped and have a good day

Find the domain and range of the relation.
((-9, 9), (-9, 6), (1, 2), (-4, -5), (7, -2)]

Answers

It would be the first then to last for each one

explain how to use absolute value to find the distance on the number line between any positive number and any negative number give a example

Answers

Answer:

The absolute value is the distance between a number and zero on a number line. There are always two numbers on the number line that are the same distance from zero. For instance, the numbers 4 and -4 are each a distance of 4 units away from zero. represents the distance from 4 to zero, which equals 4.

Add to brainliest!

Relative rates of Growth:Not that difficult but some rules are needed. Ask me if you have any questions regarding the material. Thanks!

Answers

[tex]\begin{gathered} \text{Given} \\ \lim _{x\rightarrow\infty}\frac{f(x)}{g(x)}=5 \end{gathered}[/tex]

Observing the given limit, as x approaches infinity, the quotient of two limits, f(x) and g(x) is equal to the constant

he definition therefore of the given is that it shows f(x) and g(x) grows at the same rate as x goes to infinity.

A line goes through the points (-3, -2) and (3, 6). Write the equation of the line in Slope-Intercept form, y = mx + b.​

Answers

LET US FIND THE GRADIENT

[tex]m = \frac{y2 - y1}{x2 - x1 \\ \\ } \\ = \frac{6 - ( - 2)}{(3 - ( - 3)} \\ = \frac{6 + 2}{3 + 3} \\ = \frac{8}{6} \\ m= \frac{4}{3} [/tex]

I WILL USE THE POINTS (-3,-2) TO GET THE VALUE OF C

[tex] - 2 = \frac{4}{3} ( - 3) + c \\ - 2 = - 4 + c \\ - 2 + 4 = c \\ c = 2[/tex]

THEREFORE THE EQUATION IS

[tex]y = \frac{4}{3} x + 2[/tex]

ATTACHED IS THE SOLUTION

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