James has a square garden with sides of length 8feet. he plans to enlarge it to a rectangle by increasing the length by 4 feet and the width by 1 feet. how many square feet in area will be added to the garden?

Answers

Answer 1

The area in square feet that will be added to the garden is 44 square feet.

Length of square garden = 8 feet

Area of Square garden = [tex](side)^{2}[/tex] = [tex](8)^{2}[/tex] = 64 square feet

On enlarging the square to a rectangle, length rectangular garden is (8+4)feet i.e.,12feet and width of rectangular garden is (8+1)feet i.e.,9feet.

Area of rectangular garden = (length × width)

                                              = (12 × 9) square feet

                                              = 108 square feet

The area in square feet that will be added to the garden = (Area of rectangular garden - Area of Square garden)

= (108 square feet - 64 square feet)

= 44 square feet

The area in square feet that will be added to the garden is 44 square feet.

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Related Questions

Solve the proportion.
4/5= y/7 what is y

Answers

Answer: Exact Form: 28/5

Step-by-step explanation:

Answer:

y = 28/5

Step-by-step explanation:

Let's solve the problem,

→ 4/5 = y/7

→ y = 7 × (4/5)

→ [ y = 28/5 ]

Hence, the value is 28/5.

Identify the domain for the following function.

Answers

Answer:

( -∞, ∞ )

Step-by-step explanation:

Because the given function has arrows and reaches both up and out in both directions, this means that the domain of the function is All Real Numbers, or ( -∞, ∞ ). When the x-values of a function have no maximums and minimums, then the domain is All Real Numbers.

which set of points are collinear? d, s, y startfragment, d, s, y, p, t, y startfragment, p, t, y, y, d, h startfragment, y, d, h, h, t, s

Answers

The set of points (A) P, T, and Y are collinear.

What are collinear points?Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that is close to or far from each other are said to be collinear.In general, three points A, B, and C are collinear if the sum of the lengths of any two line segments between AB, BC, and CA equals the length of the remaining line segment, that is, AB + BC = AC, AC +CB = AB, or BA + AC = BC.

In response to the question -

Only one set of points - (P, T, Y) - can be seen to be on the same straight line. One of the options mentioned is - (P, T, Y).

Therefore, the set of points (A) P, T, and Y are collinear.

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The correct question is given below:
Which set of points is collinear?

(A) P, T, Y

(B) D, S, Y

(C) H, T, S

(D) Y, D, H

Point (w, z) is transformed by the rule (w 5, z) . what type of transformation occurred?

Answers

Scaling transformation onto the x co ordinate by a factor of 5.

What is a co-ordinate system ?

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Find the value of x and YZ if Y is between X and Z.
XY = 12, YZ = 2x, and XZ = 28

Answers

Answer:

x = 8 and YZ = 16

Step-by-step explanation:

since Y is between X and Z , then

XY + YZ = XZ , that is

12 + 2x = 28 ( subtract 12 from both sides )

2x = 16 ( divide both sides by 2 )

x = 8

and YZ = 2x = 2 × 8 = 16

Calculate the size of angle t
State any circle theorems that you use

Answers

180-(38+ 24) = 118 (angles in a triangle add to 180)
The angle opposite this angle will be the same because vertically opposite angles are equal.
Angle OAC=38 ( angles in same segment are equal)
180-(38+118) = 24 (angles in triangle add to 180)
Answer = angle t = 24 degrees

Answer: 48

Step-by-step explanation:

The unknown angle labelled t is solved with the knowledge of the circle theorem which states that the angle subtended by an arc at the centre is twice the angle subtended at the circumference.

Using this knowledge we have that

t = 2 * 24

t = 48 degrees

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2 ( x + a ) = 4b explain how i solve this not the answer how to sovle it please

Answers

Answer:

x = 2b - a

Step-by-step explanation:

2(x + a) = 4b

2x + 2a = 4b

x + a = 2b

x = 2b - a

I think this question is incomplete

Pls help me solve this question, also include step by step calculation ya. Thks
Giving brainliest to the best answer​

Answers

[tex]\displaystyle\\Answer:\ x=\sqrt{2}\ \ \ \ \ x=-\sqrt{2}\ \ \ \ \ x=\frac{ln5}{2}[/tex]

Step-by-step explanation:

[tex]5x^2-x^2e^{2x}+2e^{2x}=10[/tex]

[tex]Let:\ x^2=t \ \ \ \ \ e^{2x}=v\\Hence,\\5t-tv+2v^2=10\\5t-tv+2v^2-10=10-10\\5t-tv-10+2v^2=0\\t(5-v)-2(5-v)=0\\(5-v)(t-2)=0\\5-v=0\\5-v+v=0+v\\5=v\\5=e^{2x}[/tex]

Prologarithmize both parts of the equation:

[tex]ln5=lne^{2x}\\ln5=2x*lne\\ln5=2x*1\\ln5=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]\displaystyle\\x=\frac{ln5}{2}[/tex]

[tex]t-2=0\\t-2+2=0+2\\t=2\\x^2=2\\x=\sqrt{2} \\x=-\sqrt{2}[/tex]

if a round cake has 30 slices how many slices will represent an angle of 216°?​

Answers

Answer:18

Step-by-step explanation:360/30=12

216/12=18

5 Read what Alicia says.
The angles of this pentagon are 100°, 105°, 72°, 126° and 127°.
Explain why she must be wrong.​

Answers

Answer:

all the angles of the pentagon do not add up to 540

Step-by-step explanation:

total degree in a shape

180 × (n-2)          where n is the number of side

a pentagon has 5 sides so

180 × (5-2)

= 540

100+105+72+126+127= 530

all the angles of the pentagon do not add up to 540

2173 rounded to neatest hundred

Answers

Answer:

2200

Step-by-step explanation:

that is the answer jf

A line passes through the point(9,-8)

and has a slope of-2/3. Write an equation in slope-intercept form for this line.


.

Answers

KJSAnflkadfalkdmnfaldskjfnasd...

Use additive inverses and their properties to find the equivalent expressions

Answers

Answer:

1. 6+(-3)
2. 6+3
3. -6+(-3)
4. -6+3

pa brainliest thankk youu!!

Answer:

1 .6 - (-3) : 6 + 3

2.6 - 3 : 6 + (-3)

3.-6 - (-3): -6 + 3

4.-6 - 3: -6 + (-3)

Step-by-step explanation: right on edge , hope this helps you :)

How many inches are in 5.5 miles?

Answers

Answer:

5.5 miles = 348480 inches

Step-by-step explanation:

Formula: multiply the value in miles by the conversion factor '63360'.

So, 5.5 miles = 5.5 × 63360 = 348480 inches.

Answer:

348480

Step-by-step explanation:

5.5 times 63360 = 348480

can someone help me with this question ​

Answers

Answer:

50 69 600 5.2 2

Step-by-step explanation:

this is because this is simple interest i=pxrxt

RS=6y+3,ST=5y+9 and RT=78
What is are and ST

Answers

Answer is a number because of the equation being radical

The probability that the interval estimation procedure will generate an interval that contains the actual value of the population parameter being estimated is the _____.

Answers

The population parameter being estimated is the confidence coefficient.

What is a confidence coefficient?

The confidence coefficient is the confidence level stated as a proportion, rather than as a percentage. For example, if you had a confidence level of 99%, the confidence coefficient would be . 99. In general, the higher the coefficient, the more certain you are that your results are accurate.

probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Hence, The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the confidence coefficient.

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PLEASE HELP MEEEEE. EXPLAINNNN
IMAGE INCLUDED

Answers

Answer:

i thing that's the answer

Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.

please help, I need answers asap due tonight ​

Answers

The approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

How to approximate a square root by perfect squares approximation?

To approximate the square root of a number x by perfect square approximation, we have to find two numbers:

The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.

Then, the square root of x will be on a compound interval between a and b.

For this problem, we have that:

3² = 9.4² = 16.

Hence, the approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

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16 X +12 over two equals 100

Answers

The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825

Given that equation  [tex]\frac{16x+12}{2}=100[/tex]  and asked to evaluate the value of x in the given equation

⇒ [tex]\frac{16x+12}{2}=100[/tex](given equation)

To solve the given equation, need to use the various mathematical  operations i.e division and subtraction)

⇒8x+6=100 ( using the operation division)

⇒8x=100-6 (using the operation subtraction)

⇒8x=94

⇒x=[tex]\frac{94}{8}[/tex](using the operation division)

⇒x=11.825

By using the mathematical  operations i.e division and subtraction the value of x came as 11.825

⇒Therefore, The value of x in the given equation i.e [tex]\frac{16x+12}{2}=100[/tex] is 11.825

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Paul started work at company B ten years ago at the salary shown in the table. At the same time Sharla started at company C at the salary shown in the table. Who earned more during the last year? How much more? *picture included*

Answers

go ask God bro ain't nobody know that

Given that z is a standard normal random variable, what is the probability that -2.51 z -1.53?

Answers

Probability that -2.51 < z < -1.53 = 0.057

Given that z is a standard normal random variable. Then the z - values are given by the area under standard normal curve. It can be found from the standard normal tables.

Now probability that  -2.51 < z < -1.53  = P( -2.51 < z < -1.53 )

                                                               = P( -2.51 < z < 0 ) - P( -1.53 < z < 0 )

                                                               = P( 0 < z < 2.51) - P( 0 < z < 1.53 ) [Since areas are equal for same positive and negative values]

P( 0 < z < 2.51) = 0.4940

P( 0 < z < 1.53) = 0.4370  

[From the normal tables]

Therefore, Probability that -2.51 < z < -1.53 = 0.4940 - 0.4370  = 0.057

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A group of friends enjoys playing miniature golf together. here are a set of final scores from a recent outing: 39, 41, 44, 50, 54, 56, 56, 56, 61 what is the mode?

Answers

The mode is the most common value in a set of data values then the mode of the given set of data is 56.

What is a mode?

The mode is the most common value in a set of data values. If X is a discrete random variable, the mode is the x value at which the probability mass function maximizes. In other words, it is the most likely value to be sampled.

The most common number, or the number that appears the most frequently. Example: Since the number 2 occurs three times, more than any other number, it is the mode of the sequence "4, 2, 4, 3, 2, 2."

Let the given data be 39, 41, 44, 50, 54, 56, 56, 56, 61

The mode is the most common value in a set of data values.

Then the mode of the given set of data is 56.

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matt bought 2 packages of gum for 64 cents each he also bought a candy bar for 76 cents write an expression to show the best estimate for how much money matt spent

Answers

The expression to show the best estimate is 64 * 2 +76 * 1

How to write an expression to show the best estimate?

The given parameters are:

Gum package = 64 cents eachNumber of gum package = 2Candy bar = 76 cents eachNumber of Candy bar = 1

The expression to show the best estimate is

Expression = Gum package * Number of package + Candy bar * Number of bars

So, we have

Expression = 64 * 2 +76 * 1

Hence, the expression to show the best estimate is 64 * 2 +76 * 1

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Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.

Their lowest common multiple (LCM) is 60.
Find the two numbers, writing your answers on one line in the form,
The two numbers are ... and .
+

Answers

Answer:

their lowest common multiple (LCM) is 60

Step-by-step explanation:

numbers, writing your answers on one line in the form,

The two numbers are ... and .

Find the volume of the solid.

Answers

Answer:

Mushroom is a friends as as well as a foe give reason for the value of a and shss sag ni khana banaun lako I think it is a friends as as well as a foe give reason for the value of a and the value for money and the value of a and the value for money and the value for money and the value for money and the value.

Step-by-step explanation:

Mushroom is a friends as as well as a result in Nepal and bhailo essay writing about deusi and the value of x of a and the value of x of the following figure of a mushroom the value of a and the value of x of the following figure of a mushroom the value of x of the following a foe give reason for the value of x of the following figure out of the following figure of x of the value of a and the value for money and the value of a and the value of a and the value for money and the value for money and the value of a and the value for money and the value for money and the value for money to start a and the value of a and the value for money to start a and the value for money and the value for money and the value.K garde Khana khani I think. Um tani twvarkhar kam garxu bye badar vanar karako ni khana ko captain America and the value for money and the value for money and

Which number is greater,
23
×
10
3
or
11
×
10
4
? How do you know? Show your work and explain your steps.

Answers

Answer:

A. 23×10^3

B. 11×10^4



Your answer would be B, 11x10^4.


Step-by-step explanation:

To find your answer you can evaluate each equation and compare your answers.





A:

10^3 = 1,000

23•1,000 = 23,000


B:

10^4 = 10,000

11•10,000 = 110,000



End Result:

110,000 > 23,000




Therefore your answer would be choice B.








Have a great rest of your day.

From the one and only,
Mr. Universe

Answer:

A:

10^3 = 1,000

23•1,000 = 23,000

10^4 = 10,000

11•10,000 = 110,000

110,000 > 23,000

Select the set of ordered pairs that does not satisfy the requirements of a function.

O {(1, 1), (2, 2), (3, 3), (4,4)}

O {(1,4), (2,4), (3, 4), (4,4)}

O {(1, 1), (1, 2), (1, 3), (1,4)}

O {(1, 2), (2, 3), (3, 4), (4,1)}​

Answers

Answer is {(1, 1), (1, 2), (1, 3), (1,4)}
The third choice

Step by step

{(1, 1), (1, 2), (1, 3), (1,4)} does not satisfy the requirements of a function because it has multiple x values of 1.
A function must have unique x values to pass the vertical line test. See attached picture showing the vertical line test.

These satisfy the requirements of a function.

O {(1, 1), (2, 2), (3, 3), (4,4)}

O {(1,4), (2,4), (3, 4), (4,4)}

O {(1, 2), (2, 3), (3, 4), (4,1)}

A relation will be only a function if and if only for every single value of x there must be only one output thus {(1,1),(1,2), (1,3), (1,4)} will not be a function, therefore, option (C) will be correct.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

A function can be regarded as a computer, which is helpful.

Given the coordinates,

In option (B)  {(1,4),(2,4),(3,4),(4,4)} in this for y = 4  → x = 1,2,3,4 so it will be a function becuase for every single x value there is a single y value but for a single y value, there could be two x.

In option (D) {(1,1),(1,2), (1,3), (1,4)} for x = 1 → y = 1,2,3,4 so it will not a function.

Hence "{(1,1),(1,2), (1,3), (1,4)} will not be a function".

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I CAN SOLVE PROBLEMS.
5. Create an equivalent expression using the
additive inverse property.
-17- (25)
-17-25
6. Divide
debelow and determine if it will
terminate or repeat

Answers

The equivalent expression using the additive inverse property is -17- 25

How to create an equivalent expression using the additive inverse property?

The expression is given as:

-17- (25)

The additive inverse property states that:

-x + x = 0

This also states that

-(x) = -x

Using the above as a guide, we have the following equation

-17- (25) = -17- 25

Hence, the equivalent expression using the additive inverse property is -17- 25

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Simplfyy -3x plus7y plus21y -21

Answers

Answer:

-3x + 28y - 21

Step-by-step explanation:

[tex]7y+21y=28y\\=-3x+28y-21[/tex]

• Add the similar factors and carry over the uncommon factor, -3x.

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