A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?

Answers

Answer 1

Answer:

250 sq ft

Step-by-step explanation:

Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide

and 100 -20 -30 = 50 ft long

50 x 50 = 250 sq ft

Answer 2

The greatest area of the given house is 2500 square feet.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To find the greatest area that the house can have, you need to determine the dimensions of the house.

The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.

The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.

The area of the house is :

50 feet x 50 feet = 2500 sq feet.

This is the greatest area that the house can have.

Learn more about the Area of the rectangle here:

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Related Questions

A red light
flashes on
every
8 secs and a
green light flashes on
flashes on every 10 secs. If the two
lights are switched on
at the same time.
After how long will both lights flash on
together?

Answers

Answer:

Both lights would flash together after every 30 seconds.

Step-by-step explanation:

6 = 2 * 3 and 10 = 2 * 5.

LCM (Least Common Multiple) of 6 and 10 = 2 * 3 * 5 = 30.

Therefore, both lights wold flash together after every 30 seconds.

Answer:

every 30 seconds.

Step-by-step explanation:

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Look at me move, yeah yeah

I'm a banana

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Banana power

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Power

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Look at me move

Uh oh banana time

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Stop

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Carts, farts, marts, darts

Hearts, starts, carts, marts

Carts, marts, darts, farts

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I am

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I'm a banana

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yes

I need help please it’sGeometry

Answers

Answer:

Congruent triangles have the same perimeter so the answer is 13.

Solve x2 − 3x = −8.
a. x equals quantity of 3 plus or minus I square root of 29 all over 2
b. x equals quantity of 3 plus or minus I square root of 23 all over 2
c. x equals quantity of negative 3 plus or minus I square root of 29 all over 2
d. x equals quantity of negative 3 plus or minus I square root of 23 all over 2

Answers

Answer:

x equals quantity of 3 plus or minus I square root of 23 all over 2

Step-by-step explanation:

Question below. I have attached it below. Please answer it and comment the answer.

Answers

Answer:

(a)1/10

(b)1/5

(c)4/5

hope it helps

Answer:

answer for A) 1/10

answer for B) 1/10

answer for C) 8/10 given that you consider the digit '1' present in 10. if not, 9/10 is the answer

Charisse was riding north then she turned 90° to the left after turning in what direction was charisse riding Explain your answer

Answers

Answer:

west

Step-by-step explanation:

Answer:

West

Step-by-step explanation:

90 deg left of north is west.

2/3 - 4x + 7/2 = -9x + 5/6 apply the properties.. step by step

Answers

Answer:

x=5/13

Step-by-step explanation:

2/3+7/2=9x+5/6+4x

2/3+7/2-5/6=9x+4x

lcm of 2,3,6=6

2/3=4/6      7/2=21/6       5/6=5/6

4/6+21/6-5/6=9x+4x

30/6=13x

5=13x

x=5/13

Steps:

Step 1: Simplify both sides of the equation.

2/3−4x+7/2=−9x+5/6

2/3+−4x+7/2=−9x+5/6

(−4x)+( 2/3 + 7/2 )=−9x+ 5/6 (Combine Like Terms)

−4x+25/6=−9x+5/6

−4x+25/6=−9x+5/6

Step 2: Add 9x to both sides.

−4x+25/6+9x=−9x+5/6+9x

5x+25/6=5/6

Step 3: Subtract 25/6 from both sides.

5x+25/6−25/6=5/6−25/6

5x=−10/3

Step 4: Divide both sides by 5.

5x/5=−10/3/5

=  x=-2/3

Answer:  x=-2/3

Please mark brainliest

Hope this helps.

What is the leading coefficient of 5-6x^4+8x^2-2x^3

Answers

Answer:

-6

Step-by-step explanation:

Rewrite the equation with the number that has the highest exponent in the front.

-6x^4 -2x^3 + 8x +5

The leading coefficient is the number beside the x value

In this case it is -6

Hope this helps plz mark brainliest!

What is the length of the leg of a right triangle if one leg is 4 and the hypotenuse is 5?

a.25
b.3
c.16
d.9

Answers

Answer: B. 3

Step-by-step explanation:

4^2 + b^2 =5^2

16 + b^2= 25

-16            -16

b^2 = 9

[tex]\sqrt{9} =3[/tex]  

The figure is reflected across line m and then across line n. What is the resulting transformation?

a. glide reflection
b. rotation
c. translation
d. reflection

Answers

i’m guessing the answer is A or D, but I would go with A since it’s going across both lines?

When constructing an equilateral triangle, what step comes after six arcs are created on the circle?

Answers

Answer:

Num certo bairro da cidade de Beira após o ciclone Idai, 120 voluntários trabalhavam de

manhã, 130 trabalhavam à tarde, 80 trabalhavam à noite, 60 trabalhavam de manhã e a

tarde, 50 trabalhavam de manhã e a noite, 40 trabalhavam à tarde e a noite e 20

trabalhavam nos três períodos.

(a) Quantos voluntários trabalhavam em 2 períodos?

(b) Quantos voluntários tem o bairro?

(c) Quantos voluntários não trabalhavam á tarde?

(d) Quantos voluntários trabalhavam só de manhã?

Step-by-step explanation:

which number produces an irrational number when multiplied bby 1/2

Answers

multiply by 0.4 will yield it

Please help someone help me! Correct answer only! This assignment is due today.
A student has to choose an elective class for the last semester of high school. His counselor suggested 8 electives, 5 of which were dance classes.

If the student randomly chose to read about 4 of the electives, what is the probability that all of them are dance classes?

Write your answer as a decimal rounded to four decimal places.

Answers

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

[tex]Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714[/tex]

I say it’s 0.0724 or 0.724

PLEASE HELP WILL MARK BRAINLIEST
The figure below has a point marked with a large dot.
First, reflect the figure across the x-axis.
Then, give the coordinates of the marked point in the original figure and the final figure.

Answers

Answer:

Original figure: (-6,-5)

final figure: (-6, 5)

Step-by-step explanation:

the point would fall at (-6, 5) because it is reflecting across the x-axis (the horizontal one) and since it is the original point is 5 away from the x-axis, the final point would be at 5 as well. the y-coordinate doesn't change because it is only reflecting over the x-axis. the shape would essentially be flipped if you reflected it over the x-axis, so the point would be on the bottom of the figure instead of the top. Hope this helps I tried my best to explain!

Can someone explain how $3.79 x 2 =$7.58 is equivalent to $7.58/2=$3.79

Answers

Answer:

ehhrr idk

Step-by-step explanation:

Answer:

Because 7.85/2 mean that you are diving the top by the bottom so that would give you the answer of $3.79, I hope I answered your question how you wanted it to be I am sorry if I didn't

Step-by-step explanation:

Carla has $1560 in a savings account that pays 2.5% simple interest. How much interest is earned in 3 years? b) How much money is in her savings account at the end of 3 years?

plz show work

Answers

Answer:

a)  The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years = 1672.5 rupees

Step-by-step explanation:

Given Carla has $1560 in a savings account that pays 2.5% simple interest

Interest = 1560 × 2.5 %

             = 1560 × 0.025

            =  37.5

The interest for one year = 37.5

The  interest is earned in 3 years = 112.5

b) The total amount earned at the end of 3 years

                               = Amount + interest

                               = 1560 + 112.5

                             = 1672.5

Please state the like terms in each group:
a) 4w,5w^2, 5z, x^2, -x, 3w, 3v
b) 4x^2, -3x^2, 4z, 2y, y^2, 4w

i will give the brainliest to whoever answers correctly:))

Answers

a) 4w and 3w

b) 4x^2 and -3x^2 and y^2

Answer:

a ) 4w and 3w

b ) 4x^2 and - 3x^2

Step-by-step explanation:

Like terms are considered to have similar variables, such as say 1abc and 22abc. Note that the " 1 " and " 22 " are  coefficients ;

[tex]a ) 4w, 3w\\\\b ) 4x^2, - 3x^2[/tex]

As you can tell, the part a ) has terms with the like variable w, and part b ) has terms with the like variable x^2

Solution above

any help would be amazing, please?!!

Answers

Answer:

I think it's C

Step-by-step explanation:

Sorry if I'm wrong

how would you write an equation of a circle that is (-3,2) with a radius of 5

Answers

Answer:

(x+3)^2 + (y-2) ^2 = 25

Step-by-step explanation:

Equation of a circle: (x-h)^2 + (y-k)^2 = r^2

Center at (h,k)

Radius=r

What is the sum of the measures of the interior angles of a 12-gon?
1620°
O 1800°
O 1980°
O 2160°

Answers

Answer:

The answer is 1800!

Step-by-step explanation:

Answer:

B. 1800 degrees.

Step-by-step explanation:

Just took the quiz on Edg (2020-2021)!

Find the limit of the function by using direct substitution. limit as x approaches 0 of quantity x squared plus 4

Answers

Answer:

=4

Step-by-step explanation:

[tex]\lim _{x\to 0}\left(x^2+4\right)\\\mathrm{Plug\:in\:the\:value}\:x=0\\=0^2+4\\Simplify\\=4[/tex]

Lt  (X^2+4)

x-0

= 0^2+4

= 4

What are the limits of mathematics?

math, a limit is defined as a value that approximates the output of the specified input value of the function. Limits are important in calculus and mathematical analysis and are used to define integrals, derivatives, and continuity. In mathematics, the limit is the value that the function approaches when the input approaches a particular value.

Boundaries are essential for calculus and mathematical analysis and are used to define continuity, derivatives, and integrals. 1a: What separates, limits, or limits the age limit for junior golf. b: I pushed her body to the limit. 2a: Geographical or political boundaries. b Plural borders: Surrounded by borders: The border to the northern border they came from-John Milton.

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what is 2 7/8 x 2/3

Answers

Answer:

2.25

Step-by-step explanation:

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.

Answers

Answer:

86

Step-by-step explanation:

1. a+b=14 ⇒ a= 14-b

2. 10a+b=18+10b+a ⇒ a= 2+b

comparing 1 and 2:

14-b= 2+b ⇒ 2b= 12 ⇒ b= 6

a= 14-b= 8

number = 86

reversed number = 68

for all the values of x,
f(x)=x²+3 g(x)=2x-1
a) find fg(2)
b) find gf(2)

Answers

Answer:

12 and 13

Step-by-step explanation:

(a)

To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)

g(2) = 2(2) - 1 = 4 - 1 = 3, then

f(3) = 3² + 3 = 9 + 3 = 12

--------------------------------------------

(b)

To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)

f(2) = 2² + 3 = 4 + 3 = 7, then

g(7) = 2(7) - 1 = 14 - 1 = 13

Convert the following time to 24-hour clock time. a) 5:00 pm b) 6:45 p.m c) 8:05 a.m d) 12:59 a.m III. Convert the following time to 12-hour clock time. a) 0400 hours b) 1500 hours c) 0010 hours d) 0240 hours

Answers

Answer:

5:00 pm -> 1700 hours

6:45 pm -> 1845 hours

8:05 am ->  0805 hours

12:59 am -> 0059 hours

0400 hours -> 4:00 am

1500 hours -> 3:00 pm

0010 hours -> 12:10 am

0240 hours -> 2:40 am

Step-by-step explanation:

12:xx am -> 00xx

all times from 1:00 am to 9:59 am stay nearly the same 0100 to 0959

all times 10:00 am to 12:59 pm stay nearly the same 1000 to 1259

all times 01:00pm to 12:00pm + 12 -> 1300 to 2400

Is the relationship between the number of months and the total amount paid proportional for both Hank's and Lynn's loans? Use the drop-down menus to explain your answer.

Answers

Answer:

The relationship between the number of months and the total amount paid is proportional for both Hank's and Lynn's loans.

Step-by-step explanation:

Hank and Lynn are both paying off car loans

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

Therefore, the total amount paid (C(h)) after x months by given by  

C(h) = 2000 + 200x ......... (1)

So, this relation is proportional but not directly proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

Therefore, the total amount paid (C(l)) after x months by given by  

C(l) = 275x ......... (2)

So, this is a directly proportional relation which is also proportional.  

hope it helps mark me as brainliest.

Juliet baked 30 brownies for a party.she gave 6 brownies to a friend. What percent of the brownies did juliet give het friend

Answers

Answer:

20%

Step-by-step explanation:

6/30 = blank/100

cross multiply

6 x 100

600/30 =20

Johann baked 24 cookies for a picnic with his
friends. Of the 10 friends he invited, 7 friends
were able to attend the picnic. If Johann gave -
each of his friends the same number of
cookies and had 3 cookies left for himself, how
many did each friend get?

Answers

Answer: Each friend got 3 cookies.

Step-by-step explanation:

Johann gets three cookies so 24-3=21. Divide it by the seven friends that came. 21/7=3 cookies.

Answer:

Step-by-step explanation:

So 7 of his friends came to the party and 3 cookies were left for himself. To find how many cookies each friend got, first subtract the 3 cookies Johann has from the total.

24-3=21

Then divide 21 by the number of friends.

21÷7=3

So each friend got 3 cookies.

if MNL is congruent to TUS, then NL is congruent to ?​

Answers

Answer:

NL is congruent to US.

Answer:

d. NL ≅US

Step-by-step explanation:

ΔMNL ≅ ΔTUS

follow the order in ≅ statement meaning that MN ≅ TU,NL ≅US, ML ≅ TS

A carpenter is cutting a 2 by 4 framing for a roof. The legenth needs to be 5 feet. He allows 0.1 foot possible variation for the length of the cut. What values of l represent the acceptable length for the board in feet?​
<OLD>

Answers

Answer:

4.9 ≤ l ≤ 5.1

Step-by-step explanation:

'I' represents the length of the acceptable length for the board in feet.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

here,
A carpenter is cutting a 2 by 4 framing for a roof. The length needs to be 5 feet.
He allows a 0.1-foot possible variation for the length of the cut. where variation becomes,
5 - 0.1 ≤ I ≤ 5 + 0.1
4.9 ≤ I ≤ 5.1

Thus, 'I' represents the length of the acceptable length for the board in feet.

Learn more about inequality here:

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Liam highlighted the columns in the multiplication table below to find equivalent ratios. A multiplication table. In the row labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the row labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. The same number goes into each box to make the two ratios below equivalent. StartFraction 4 Over blank EndFraction, StartFraction blank Over 36 EndFraction Which number goes into both boxes?
A-6
B-9
C-12
D-18

Answers

9514 1404 393

Answer:

  C-12

Step-by-step explanation:

You want to find n such that ...

  [tex]\dfrac{4}{n}=\dfrac{n}{36}\\\\4\cdot36=n^2\qquad\text{multiply by $36n$}\\\\\sqrt{4\cdot36}=n\\\\2\cdot6=\boxed{n=12}[/tex]

Answer:

12

Step-by-step explanation:

Took the test on edg I got 100%.

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Review the image shown right. Then, use thedrop-down menus to complete the followingsentence.In transcription within the nucleus, RNA is madethroughpairing with theantisense strand inDONE Use FOIL and the distributive property to derive (a-b)^3 How can the principle of overload be applied to a sport, such as tennis or basketball? Liquid hexane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water . Suppose 4.3 g of hexane is mixed with 7.14 g of oxygen. Calculate the maximum mass of carbon dioxide that could be produced by the chemical reaction. Round your answer to significant digits. How many moles of h2 can be formed if a 3.25g sample of Mg reacts with excess HCl A school records the number of pupils that were late each month which of the following best describes a line The San Andreas Fault is known for which of the following? Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive.P(A) = 0.45P(B) = 0.35P(C) = 0.25What is the probability of the complement of Event A?A) 1.00B) 0.55 C) 0.10D) 0.45 What role does freedom play in the poems you read in this unit? Write about at least three of the poems, describing how the poet uses imagery to depict freedom, the lack of it, or the desire for it. Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is shown below. What is the height of the towns new water tower in feet? Round to the nearest whole number. 22 feet 40 feet 63 feet 113 feet 8. Ligaments are strips of tough tissue thatsupport soft tissues inside bonesprevent friction between bonesconnect bones to bonesattach muscles to bones PLEASE HELP!! WILL MARK BRAINIEST !!Select the correct answer. If f(x)=2x^2+3x and g(x)=x-2 what is (f+g)(2)A.)16B.)14C.)12D.)10E.)8 Whats the correct answer for this? Select all the ones that apply ray bought the seven books shown below as well as an eighth book. the eighth book was $21.90. what was the price of the eighth book ? In which American colonies were cash crops raised for sale or export?O the New England and middle coloniesO the middle and southern colonieso the southem and New England colonieso the souther, middle, and New England colonies Determine the approximate ordered pair for f(x) = g(x)(3, 12)(3,18)(12,3)(18, 3) Ella ________________ con ropa informal para ir al cine los viernes. A)se despierta B)se ducha C)se viste D)se duerme I need to answer all of these questions by 8pm Please Answer ASAP! will give 5 star and brainliestAn 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. Draw the possibility diagram of the product of the two numbers appearing on the die in each throw Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6