Ethan wants to purchase a rectangular lot at a lake resort. He drew the layout of the lot on a coordinate plane, where the x- and y- values represent the length, in yards. The center of the lot is located at (0,0). The northeast corner of the lot is located at (16.5, 13.5). The southeast corner of the lot is located at (16.5, -13.5). The northwest corner of the lot is located at (-16.5, 13.5). The southwest corner of the lot is located at (-16.5, -13.5). What is the area of the rectangular lot?

a) 120 square yards

b) 1,782 square yards

c) 445.5 square yards

d) 891 square yards​

Answers

Answer 1
C) 445.5 square yards

Related Questions

10. What is the value of x?
A 47.5
0.50.5
2
D. 105

Answers

Answer:

A

Step-by-step explanation:

2x + 10 = 105

2x = 95

x = 47.5

Answer: A

Step-by-step explanation:

2x + 10 = 105

2x = 95

x = 47.5


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PLEASE HELP 10 POINTS

Answers

Answer:

9.75

Step-by-step explanation:

3/4 |1/3x+2| < 6

you can turn the < into a =

then subtract 3/4 from 6 which leaves you with 5.25. And since you know 2 will always be positive because it's in an absolute value bracket 5.25-2=3.25. Which leaves you with

|1/3x| = 3.25

then do 3.25/(1/3) which leaves you with 9.75

:)

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Answers

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

Recall that there are 2π radians in one full rotation and 360 degrees in one full rotation.

Suppose an angle has a measure of 2. 1 radians.

This angle (with a measure of 2. 1 radians) is what percent of a full rotation?
 %

Use your work in part (i) to determine the measure of the angle in degrees.
 degrees

Answers

If there are [tex]2\pi[/tex] radians and [tex]360 \textdegree[/tex] in one full rotation and an angle has a measure of [tex]2.1 radians[/tex] then the angle is 33.4 percent of a full rotation , and the measure of the angle in degrees is [tex]120.2\textdegree[/tex] .

we know that in 1 full rotation , the radians is 2π ;

and in 1 full rotation , the degree is 360 degree ;

We know that the relation between the degree and the radian measure is

⇒ [tex]1 radian = \frac{180\textdegree}{\pi }[/tex] ;

Part(i) ;

we have to express the 2.1 radians as a percent of full rotation ;

we get ; ⇒ [tex]\frac{2.1}{2\pi } \times 100\%[/tex]

on simplifying further ,

we get ; [tex]\approx 33.4\%[/tex] .

Part(ii)  ;

we have to determine the measure of the angle in degrees.

from part(i) , we find the percent is [tex]33.4\%[/tex] ,

So , [tex]33.4\%\times 360\textdegree[/tex]

On simplifying ,

⇒ [tex]\frac{33.4}{100} \times 360\textdegree[/tex]

[tex]\approx 120.2\textdegree[/tex] .

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Some fireworks are fired vertically into the air from the ground at an initial speed of 80 feet per second. The equation for this object's height h(t) at time t seconds after launch is h(t) = -16t2 + 80t. a. Find the vertex. Explain what this means in the context of the situation

Answers

Answer:

Vertex (-2.5,-300)

Step-by-step explanation:

We are given with h(t)=-16 t^2 +80 t.  We are asked to find the vertex.

X-coordinate of vertex =[tex]\frac{-b}{2a}[/tex]

Where 'a' is coefficient of [tex]t^{2}[/tex] term

'b' is coefficient of 't' term.

From given function, a= -16

b=80

So,

x-coordinate of vertex =[tex]\frac{-80}{2(-16)}[/tex]

                                =-2.5

y-coordinate of vertex =[tex]-16(-2.5)^{2} +80(-2.5)[/tex]

Simplify it,

            =-100 -200

           = -300

So, vertex is at (-2.5, -300).

Please help me due in 1 hour, i'll give 5 stars and lots of points.
this table shows how many males and females attended two different movies.

Answers

The answer is D. Divide 124 (the number of males that attended drama movies) by 275 (the total number of males and females that attended a drama movie) to find the frequency of being a male and watching a drama movie.

Answer:

B

Step-by-step explanation:

What is a real value number?

Answers

Real value numbers are both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc are all real numbers.

What is a real number in mathematics?

The real number that consist of different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures.Any number that we can think except complex numbers is a real number.

How many types of real numbers?

Real numbers encompass three classifications of numbers.Whole numbers, rational numbers, and irrational numbers are all real numbers.Even counting and natural number are all real numbers.

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The length of a rectangle is 7cm more than twice the width. When just the width is tripled, the perimeter of the resulting rectangle is 74cm. What are the original dimensions of the rectangle?

Answers

Answer:

Length = 27cm

Width = 10cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

If the length of a rectangle is 7cm more than twice the width, then;

x = 2y + 7

Since P = 2(x+y)

P = 2(2y+7+y)

P = 2(3y+7)

P = 6y+14

If the width is tripled, P = 74

74 = 6y+14

6y = 74-14

6y = 60

y = 10

Since x = 2y+ 7

x = 2(10) + 7

x= 20+7

x = 27

Hence the original dimension is 27cm by 10cm

Math
On a grid, a middle school is located at ( − 5 , 3 ) , and a library is located at ( 2 , 3 ) . If 1 unit represents 1 mile on the grid, how far is the library from the middle school?

Answers

Answer:

14 miles

Step-by-step explanation:

there are 14 units in between point (-5,3) and (2,3), and since each unit is 1 mile it would be 14 miles.

Will give brainliest if right

O C. 65
O D. 50

Answers

Answer:

D

Step-by-step explanation:

istg if one of yall roasts my dirty calculator

Find the measure of the indicated angle. Need help please.
I need explanation too
PLEASE NO LINKS I WILL REPORT YOU

Answers

Answer:

AC=35

Step-by-step explanation:

Sin=opposite/hypotenuse

Sin54=AC/43

AC=43sin54

AC=34.78≈35

What is an inverse variation graph called?

Answers

The graph of the inverse variation equation is called a rectangular hyperbola.

A form of proportionality called inverse variation occurs when one number falls as the other rises or the other way around. This suggests that if one number rises while the other decreases, the magnitude or absolute value of the first quantity will decrease, resulting in a constant product. The constant of proportionality is another name for this item.

An inverse variation is a relationship between two variables in which the product is constant; as a result, while one of the variables changes, the other changes correspondingly to maintain the same value of the product. This connection has the form of a hyperbola.

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Solve the following problem.
1. If a is indirectly proportional to b, then a=k/b, where k is a constant or fixed number. If a=8 when b=6, find the value of k.

Using the value of k in number 1, find:
2. a if b=3
3. a if b=4
4. a if b=12
5. a if b=1.5
6. a if b=3.6
7. a if b=4.8
8. b if a=3
9. b if a=4
10. b if a=4.5
11. b if a= 4.8
12. b if a=3.6
13. b if a=6

Answers

Answer:

see explanation

Step-by-step explanation:

given the equation

a = [tex]\frac{k}{b}[/tex]

to find k use the given condition a = 8 when b = 6 , then

8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 to clear the fraction )

48 = k

a = [tex]\frac{48}{b}[/tex] ← equation of variation

2

if b = 3

a = [tex]\frac{48}{3}[/tex] = 16

3

if b = 4

a = [tex]\frac{48}{4}[/tex] = 12

4

if b = 12

a = [tex]\frac{48}{12}[/tex] = 4

5

if b = 1.5

a = [tex]\frac{48}{1.5}[/tex] = 32

6

if b = 3.6

a = [tex]\frac{48}{3.6}[/tex] = 13.3333.. = 13 [tex]\frac{1}{3}[/tex]

7

if b = 4.8

a = [tex]\frac{48}{4.8}[/tex] = 10

for the remaining questions, rearrange the equation with b as the subject

a = [tex]\frac{48}{b}[/tex] ( multiply both sides by b )

ab = 48 ( divide both sides by a )

b = [tex]\frac{48}{a}[/tex]

8

if a = 3

b = [tex]\frac{48}{3}[/tex] = 12

9

if a = 4

b = [tex]\frac{48}{4}[/tex] = 12

10

if a = 4.5

b = [tex]\frac{48}{4.5}[/tex] = 10.666... = 10 [tex]\frac{2}{3}[/tex]

11

if a = 4.8

b = [tex]\frac{48}{4.8}[/tex] = 10

12

if a = 3.6

b = [tex]\frac{48}{3.6}[/tex] = 13.333... = 13 [tex]\frac{1}{3}[/tex]

13

if a = 6

b = [tex]\frac{48}{6}[/tex] = 8

Order these numbers from least to greatest.
6.1031, 6.203, 6.1, 6.23

Answers

Answer:

6.2300, 6.2030, 6.1031, 6.1000

Step-by-step explanation:

Answer:

6.1, 6.1031, 6.203, 6.23

A radioactive compound with mass 320 grams decays at a rate of 27% per hour. Which equation represents how many grams of the compound will remain after 7 hours?

Answers

Answer:

320 grams ÷ 27% = 8.3 grams

Step-by-step explanation:

mark brainliest plss

Someone help plz make sure it’s right plz will mark brainiest

Answers

Answer:

Your answer is B, or the second one from the left

Answer: It would be the 2nd choice

What is the explanation please help me

Answers

Answer:

Yes. If the first friend descended 0.11 mile (-0.11) and the second friend descended 0.12 mile (-0.12), then the second friend had to have caught up to the first friend knowing that the second friend descended at least 0.11 mile. Hope this helps :)

Step-by-step explanation:

5. Maria writes the expression below.
21 + 3 + 6 + 9 − 3
Which expression could be shown to be equivalent to Maria's expression based on the commutative property of addition?

Answers

Answer:

35+1

Step-by-step explanation:

They both equal 36 according to the commutatative property of addition.

What does 4 mean in maths?

Answers

The meaning of the 4! ( factorial ) in mathematics is equal to                    ( 4 × 3 × 2 × 1 ).

As given in the question,

Given expression in mathematics is written as :

4! ( factorial )

In standard form meaning of the n! ( factorial ) is given by multiplication of all the terms in decreasing order till 1.

It is expressed as:

n! = n × ( n - 1 ) × ( n - 2 ) × ( n - 3 ) × ........× 3 × 2 × (n - (n - 1) ).

Apply this formula for 4! ( factorial ) we get,

4! ( factorial )

= 4 × ( 4 - 1 ) × ( 4 - 2 ) ×( 4 - 3)

= 4 × 3 × 2 × 1

= 12

Therefore, the meaning of 4! ( factorial ) in mathematics is given by

4 × 3 × 2 × 1 .

The above question is incomplete , the complete question is :

What does 4! ( factorial ) mean in mathematics?

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Write the expression as a single logarithm.


4logby + 3logbx

*Picture of Answers Below*

Answers

Answer:

A

Step-by-step explanation:

We first put in the coefficients of each log into the log using log laws

so 4 log b y would be log b y^4

3 log b x  would be log b x^3

we next use the addition log law

to find log b y^4 + log b x^3 = log b (y^4 * x^3)

and we are done now

the answer is A

if you found this helpful consider leaving a brainliest or a thanks

Answer:

[tex]log_{b} (y^{4} x^{3} )[/tex]

Step-by-step explanation:

if 2/3 x - 1=4, then x =?

Answers

x = 7.5
or
x = 7 1/2

A pound of strawberries costs $3.28 and a pound of apples costs $4.63. What is the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples

Answers

The combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is $8.778.

What is called a pound?

The Latin word "poundus," which means "weight," is whence its name originates.

Any of the many weight and mass units. especially: a measurement that is commonly used by English-speaking peoples and equals 16 ounces (about 0.454 kilograms) see measurement. the United Kingdom's fundamental monetary unit. known also as the pound sterling.

Given that A pound of strawberries costs $3.28

and a pound of apples costs $4.63

So the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples is

cost = $3.28(0.7) + $1.4(4.63)

cost = $2.296 + $6.482

cost = $8.778

Therefore, the answer is $8.778.

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The perimeter of a rectangle is 84cm and it's length is 6cm longer than it's breadth. Find the length and breadth of the rectangle

Answers

Answer:

Step-by-step explanation:

The perimeter of a rectangle is the sum of all its sides. Since the perimeter is given as 84 cm, we can set up the following equation to represent the problem:

2l + 2b = 84

Where l is the length of the rectangle and b is the breadth.

We are also told that the length is 6 cm longer than the breadth. We can represent this relationship with the equation:

l = b + 6

Substituting the second equation into the first equation, we get:

2(b + 6) + 2b = 84

Expanding the left side of the equation gives:

2b + 12 + 2b = 84

Combining as terms gives:

4b + 12 = 84

Subtracting 12 from both sides gives:

4b = 72

Dividing both sides by 4 gives:

b = 18

Substituting this value back into the equation l = b + 6 gives us:

l = 18 + 6

l = 24

Therefore, the length of the rectangle is 24 cm and the breadth is 18 cm.

The Burj Khalifa building in Dubai, United Arab Emirates, is one of the tallest buildings in the world at 2,722 feet tall. An American football field is 360 feet in length. Approximately how many football fields tall is the Buri Khalifa building? Round to the nearest tenth.​

Answers

Answer:

7.5 which rounds to 8

Step-by-step explanation:

2,722 divided by 360 equals 7.56

check if needed <3

Mr.martland decides the length of his square vegetable garden will be 17 ft. He calculates that the area of the garden is 34 ft^2. is he correct?

Answers

Answer:

Nope

Step-by-step explanation:

If it is a square garden, all sides are equal. Area would be 17x17 and that would equal [tex]289^{2} ft[/tex] not 34

Help me pleaseeeeeeeee!!!

Answers

0.08/0.2 and 0.2/0.8 are not proportional.

What is proportionality?

A proportion is an equality of two ratios. We write proportions to help us establish equivalent ratios and solve for unknown quantities.

Given are two numbers, 0.08/0.2 and 0.2/0.8

Checking for if they are proportional or not,

0.08/0.2

Multiplying denominator and numerator by 100,

8/20 = 2/5

And,

0.2/0.8 = 1/4

Since, 0.08/0.2 ≠ 0.2/0.8

Hence, 0.08/0.2 and 0.2/0.8 are not proportional.

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What is the angle of turn clockwise from South East to North?

N

A 45°

B 135°

C 225°

D 315°

Answers

The angle of a turn clockwise from South East to North is Option B 135°.

When determining the angle of turn, it is important to consider the direction of rotation (in this case, clockwise) and the starting and ending points (in this case, South East to North).

If we imagine the compass as a clock, with North at the 12 o'clock position, South at the 6 o'clock position, East at the 3 o'clock position, and West at the 9 o'clock position. Then South East would be at the 4:30 position and the North would be at the 12 o'clock position. To rotate from 4:30 (South East) to 12 o'clock (North) in a clockwise direction, we would have to rotate 135 degrees. Thus, the angle of a turn clockwise from South East to North is 135 degrees.

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What are the roots of the equation x² - 10x +34 = 0 in simplest
a + bi form?

Answers

The roots of the equation x^2 - 10x + 34 = 0 can be found by using the quadratic formula:

x = (10 +/- sqrt(10^2 - 4134)) / (2*1)

This simplifies to:

x = (10 +/- sqrt(100 - 136)) / 2

The square root of a negative number is equal to a complex number in the form a + bi, where a and b are real numbers and i is the square root of -1. Therefore, the roots of the equation x^2 - 10x + 34 = 0 are:

x = (-10 + sqrt(-36)) / 2 = (-5 + 3i) / 2 = -2.5 + 1.5i

x = (-10 - sqrt(-36)) / 2 = (-5 - 3i) / 2 = -2.5 - 1.5i

In simplest a + bi form, the roots of the equation are -2.5 + 1.5i and -2.5 - 1.5i.

Find the length and width of the actual room, shown in the scale drawing. Then find the area of the actual room. Round the final answer, if necessary, to the nearest tenth.

Answers

The actual dimensions are 9.75 feet and 7.5 feet. The area will be 73.125 square feet.

What is the scale factor?

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).  The scale factor is defined as the proportion of the new image's size to that of the previous image.

Here the scale factor for the given image is 2 inch = 3 ft.

The measure of the actual dimensions will be calculated as,

2 in = 3 ft

1 in = 3/2 ft

6.5 in = 6.5 x 3 / 2 = 9.75 ft

5 in = 5 x 3 / 2 = 7.5 ft

The actual area will be calculated as,

Area = 9.75 x 7.5

Area = 73.125 square feet

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How many times larger than 3 x 10^4 is to 15 x 10^8

Answers

Answer:

149970000

Step-by-step explanation:

1500000000-30000=149970000

Answer:

1499970000

Step-by-step explanation:

3 x 10^4 = 30,000

15 x 10^8 = 1500000000

1500000000 - 30,000 = 1499970000

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In the diagram, m1=(113y), m2=36, and m3=(x+34). Write an equation to solve for x and an equation to solve for y. Find the values of x and y. **The given angles are (-1+38x) and (36x+3)".x= HELP ASAPSimilarity:Question 10 Which rectangle is similar to a rectangle with length 12 cm and a width 20 cm? Select one: a rectangle with dimensions 3 cm and 5 cm a square with perimeter 180 cm any rectangle with perimeter 180 cm a rectangle with dimensions 50 cm and 60 cm holy has $125. she spends $35 on gas for her car. which model represents how much money holy has left please help me!!!!!!!!!!!!!! uh yeah- answer please and ill give brain list to whoever answers it fully What is the coefficient of y in the expression 2xy 10xy 5y? A quadrilateral with 4 congruent sides and 4 right angles is? Je fais la vaisselle parce que ma mre fait la cuisine. in english Jayne wrote this letter to her friend.This trip to New York has been amazing! Im staying with my grandmother, and we have walked all over the city. There is so much to see! We visited the Statue of Liberty and went to the beach at Coney Island. Tomorrow were going to the Central Park Zoo. I wish I could stay longer because theres so much to see! But my grandmother says I can visit again in the summer.Which words from the text give Jaynes opinion about New York? A. This trip to New York has been amazing! B. We visited the Statue of Liberty and went to the beach C. I wish I could stay longer because theres so much to see! D. But my grandmother says I can visit again in the summer." Part A Find the magnitude of the minimum lorce F Ihal allows Ihe window washer t0 move upward Express your answer in terms of the mass M and the magnitude of the acceleration due to gravity g PLEASE HELP AND ANSWER THE QUESTION How fast does a Ferris wheel spin in feet per second? When examining genotypes you can determine dominant traits will be seen in the phenotype because argue against the use of genetically modified foods, thesis statement. Financial institutions that are formed by groups of people who share something in common are called __________. A. banks B. credit unions C. savings and loans D. finance companies Please select the best answer from the choices provided A B C D NEED HELP DUE TOMORROW PLS!!!!!! Which statement about the opposition to the creation of the Indian Territory is false?_____(reporting wrong answers/spams)(giving brainly to correct answers)____1. It betrayed American ideals of freedom and liberty.2. It went back on an earlier promise to allow Native Americans to keep their land after helping to fight the British.3. It was determined by the Supreme Court that the Cherokee were a sovereign nation.4. It took away the rights of Native Americans to their homeland. How I spent my holidays Question 5Which best explains the idea that images may carry associations?A. An image can have a stronger effect on a reader than an abstractidea or summary.B. An image may cause the reader to think of other related culturaland personal images.C. An image is more powerful if the reader has not previously seensomething like it.D. An image works best when the reader is offered a direct andcareful explanation.SUBMIT