To protect your town from a possible zombie invasion, your city council decides to build a wall. The Waters Proposal suggests building a wall 20 feet tall that the would weigh approximately 43275 tons. A second proposal, the Barrett Proposal, says that 20 feet is too short, and the wall in the Waters Proposal is also not long enough or thick enough to keep out zombies. He suggests scaling up the wall, i.E increasing all the dimensions of the wall by the same percentage. Under this plan, the height of the wall would be 34 feet tall and the new perimeter would be 9809 feet long. What would the perimeter of the wall under the Waters Proposal be? feet.

Answers

Answer 1

Answer:

5770 feet

Step-by-step explanation:

The height of the wall under the Waters proposal is 20 feet and the height of the wall under the Barrett proposal is 34 feet and its perimeter is 9809 feet. Since there is an increase in the dimensions of the wall, we find this percentage increase.

So, the percentage increase in the height of the wall is thus (New height - Old height)/Old height × 100%

New height = 34 feet and Old height = 20 feet

So, Percentage increase = (New height - Old height)/Old height × 100% = (34 ft - 20 ft)/20 ft × 100 % = 14/20 × 100% = 7/10 × 100% = 70 % increase.

Since all the dimensions increase by the same amount, the perimeter in the Waters proposal increases by 70% to the perimeter in the Barrett proposal.

Let P = perimeter in the Waters proposal and P' = perimeter in the Barrett proposal.

So, the percentage increase in perimeter is

(P' - P)/P × 100 % = 70 %

We now find P

(P' - P)/P = 70%/100%

(P' - P)/P = 0.7

P' - P = 0.7P

P' = 0.7P + P

P' = 1.7P

P = P'/1.7

So, substituting the value for P' = 9809 feet

P = P'/1.7

= 9809 ft/1.7

= 5770 feet

So, the perimeter of the wall under the Waters Proposal is 5770 feet.


Related Questions

Write the equation of the line that passes through the points (2,5) and (2, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

X=2 is the answer definately

Harper simplemente encendió una vela nueva y luego la dejó arder hasta la nada. La longitud de la vela que permanece sin quemar, en pulgadas, se puede modelar mediante la ecuación L = 15-1.5t, L = 15−1.5t, donde tt representa el número de horas desde que se encendió la vela. ¿Cuál es la pendiente de la ecuación y cuál es su interpretación en el contexto del problema?

Answers

Answer:

La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

Step-by-step explanation:

La función lineal se define por la ecuación

f(x) = mx + b

o

y = mx + b

donde m es la pendiente de la recta y b es la ordenada al origen.

La gráfica de una función lineal es siempre una recta.

Como se mencionó, la m es la pendiente de la recta. La pendiente es la inclinación con respecto al eje x, que es el eje de abscisas.

La pendiente m significa que si aumentamos la x en una unidad, la y aumenta en m unidades. Si m es positiva (m > 0), entonces la función es creciente. En cambio, si la m es negativa (m < 0), entonces la función es decreciente.

En este caso, siendo L=1.5 - 1.5t y comparando con la expresión y=mx + b, podes observar que el valor de la pendiente m es -1.5. Como m es un número negativo, entonces se trata de una función decreciente. En este caso este valor de pendiente indica entonces que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.

I NEED HELP PLEASE QUICKLY FOR MY TEST I BEG YOU GUYS PLEASE!!
Square RSTU is shown below with a line AB drawn through its center. If the square is dilated using a scale factor of 4 and a line is drawn through the center of the new dilated figure, what relationship will that line have with line AB in the drawing below? (10 points) ​

Answers

Answer:

the line will remain in the same place

Step-by-step explanation:

Answer:

Give the other person brainliest :)

Step-by-step explanation:

Just trying to help

What is the binary number for 4​

Answers

Step-by-step explanation:

[tex]4=2^2=\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\4_{10}=\bold{100}_2=0100_2[/tex]

The sum of two numbers is 72. The greater number is 8 more than the smaller
number. Which equation can be used to solve for the smaller number? (1 point)
1) x - (x + 8) = 72
2) x + (x + 8) = 72
3) x(x + 8) = 72
04) x(x – 8) = 72

Answers

Answer:

2

Step-by-step explanation:

So first you would set your two numbers as variables. Let y be the greater number and x be the smaller number. This means that our equation for y will be x + 8. Now all we need to do is add x and y. INSTEAD of using y, we will SUBSTITUDE with the equation for y, x + 8. Now our equation looks like

x + (x + 8) = 72

What is the slope?


WILL MARK AS BRAINLIEST!! !
(picture included ^^^^)

Answers

Answer:

12

Step-by-step explanation:

An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?

Answers

Answer: 79%

Step-by-step explanation:

min —> 30 mins because half an hour is 30 mins.

(1 - 0.5)^30 = .214638..

1 - .214638 = .78536

round that to the closest percent equals 79%

Find the m∠ULE in the triangle below.

please

Answers

Answer:

m∠ULE = 60°

Step-by-step explanation:

To find the measure of ∠ULE we will use the property of exterior angle of a triangle.

Since, measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.

m∠LUR = m∠LEU + m∠ULE

109° = 49° + m∠ULE

m∠ULE = 109 - 49

             = 60°

Therefore, measure of angle ULE is 60°.

Help Asap will mark brainliest! Prove polygon ABCDEF and polygon A′B′C′D′E′F′ are congruent or not congruent.

Answers

Answer:

They are congruent im just not sure how to prove it... maybe by showing the transformations that got it to that point?

Step-by-step explanation:

sorry ):

Answer:

They are congruent because they are the same size and shape.

Step-by-step explanation:

A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?

5 < n < 15
5 < n < 20
15 < n < 20
15 < n < 25

Answers

Answer: 15 < n < 25

Step-by-step explanation: this was the answer on edge

Answer: Option 4 or D. 15 < n < 25

Step-by-step explanation: Trust Me!

If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.

If you found any of my answers helpful please like and choose my answer as Brainliest. I would appreciate it! Good luck everyone! :)

Write 2x+y=17 in slope-intercept form.

Solve for y?

Answers

Answer: y=2x+17

Step-by-step explanation:

simplify 4 ^ 9 x 4 ^ 3​

Answers

1. 4 ^ 9 x 4 ^ 3​

2. 4^9+3

answer: 4^12

Good luck!

Write an equation in point-slope form and slope-intercept form for each line.
the line passes through (1, -1) and (2, 0)

Answers

Answer:

                                                                                           

Step-by-step explanation:

Answer:

I think its the one w -1= -1

Step-by-step explanation:

becuase 2 minus 1 is -1 nd -1 minus 0 is -1 i could be wrong

pls help me with this.

Answers

Answer:  GM = 18

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

Explanation:

Focus on triangle HKL. This is a right triangle with the horizontal leg KL = 2. The vertical leg is the unknown side HK. The hypotenuse is HL shown by the single tickmark.

Triangle HKJ is also a right triangle. It shares the leg HK and the hypotenuse JH is congruent to HL as indicated by the single tickmark.

By the hypotenuse leg theorem, we can show that triangle HKL is congruent to triangle HKJ

From there, the corresponding pieces JK and KL must be the same length. So we can say JK = 2 because KL = 2.

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

Now use the segment addition postulate

GK = GJ + JK

GK = 7 + 2

GK = 9

Focus now on triangle GKH and triangle MKH. We can prove these are congruent triangles using the hypotenuse leg theorem. Here HK = HK as mentioned before; also, GH = HM due to the double tickmarks.

As you can probably guess by now, the hypotenuse leg theorem only applies to right triangles.

Since  triangle GKH is congruent to triangle MKH, we know that

GK = KM

Since GK = 9, this makes KM = 9.

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

Therefore,

GM = GK + KM

GM = 9 + 9

GM = 18

30% × 750 =
(30 ÷ 100) × 750 =
(30 × 750) ÷ 100 =
22,500 ÷ 100 =
225;​

Answers

Answer:

1.250

2.225

3.225

4.225

Find f. Write your answer as a whole number or a decimal. DO NOT ROUND

Answers

Answer:

f = 8 feet

Step-by-step explanation:

In Δ EBC

∵ DF ⊥ BE

∵ CB ⊥ BE

DF // CB

∵ D is the mid-point of CE

∵ DF // CB

F is the mid-point of EB

∵ DF joining the mid-points of EB and EC

∴ DF = [tex]\frac{1}{2}[/tex] CB

∵ CB = f and DF = 4 ft

∴ 4 = [tex]\frac{1}{2}[/tex] f

→ Multiply both sides by 2

8 = f

The value of f is 8 ft

In the figure below, m angle WXZ=113°, and m angle2 is 3° more then m angle1 Find m angle1

Answers

Answer:

m∠1 = 55° ; m∠2 = 58°

Step-by-step explanation:

Let m∠1 = x° , then m∠2 = x° + 3°

m∠1 + m∠2 = 113°

x° + x° + 3° = 113°

2x + 3 = 113

2x = 110

x = 55°

m∠1 = 55° and m∠2 = 58°

The value of m∠[tex]1[/tex] is [tex]55[/tex]° and m∠[tex]2[/tex] is [tex]58[/tex]°

In the given figure m∠WXZ = [tex]113[/tex]° and m∠[tex]2[/tex] is [tex]3[/tex]° more than  m∠[tex]1[/tex].

What is angle?

An angle is formed when two rays are joined together at a common point.

Now,

Let  m∠[tex]1[/tex] = x° and m∠[tex]2[/tex] = x° + 3°

According to given figure;

m∠[tex]1[/tex] +  m∠[tex]2[/tex] = 113°

x° + x° + 3° = 113°

2x° + 3° = 113°

2x° = 110°

x° = 55°

Hence, the value of  m∠[tex]1[/tex] = x° = 55° and m∠[tex]2[/tex] = 55° + 3° = 58°

Learn more about the Angle visit:

https://brainly.in/question/31099513

#SPJ2

When x = 1, y= 2, z = 3, then find the value of the sum of 5x square , -2x cube y and 3y to the power 4

Answers

5(1)^2 = 5 -2(1)^3(2)= -4 3(2)^4 = 48
5 - 4 + 48= 49

The answer is 49

Answer:

1305

Step-by-step explanation:

Equation = [tex]( 5x )^{2} + ( -2x ^{3} )y + ( 3y )^{4}[/tex]

               = (5×1)² + {(-2×1)³}×2 + (3×2)⁴

               = (5)² + {-2}³×2 + (6)⁴

               = 25 + (-8)×2 + 1296

               = 25 + (-16) + 1296

               = 25 - 16 + 1296

               = 9 + 1296

               = 1305

Josiah is in the business of manufacturing phones. He pays a cost of $150 per phone produced for materials and labor and also must pay a daily fixed cost of $300 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.

Answers

Answer: C=150p+300

Step-by-step explanation:

How many solutions does 5(2x-3)=5 have

Answers

Answer:

1

Step-by-step explanation:

because it is a linear equation

Given g(x)=-x-4, solve for x when g(x)=10

Answers

Answer:

x= -14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

g(x)=x-4

g(x)=10 = g(x)=x-4 /+4

g(x)=14

In a class election, 30 students voted for Emerald and 15 students voted for Beau. What percent of students voted for Beau?

Answers

Answer:

1/3

Step-by-step explanation:

The total amount of students is 45. 1/3 of 45 is 15

Answer:

About 33.3% of students voted for Beau.

how to expand 2(x+7) ​

Answers

Answer:

(2x + 2 x 7)

Step-by-step explanation:

1) find the missing side of each triangle
A) 5 km
C) 10 km
B) 13 km
D) 12 km

Answers

Answer:

c

S1tep-by-step explanation:

8x8=64

6x6=36

64+36=100

10x10=100  

x=10

You can use Pythagorean theorem. 8^2+6^2=c^2
Once you add 8^2 +6^2 you get 100=c^2
To get C on its own you need to get rid of the square so you do to opposite of squaring which is square rooting. The the square root of 100 is 10

Find the slope and the y-intercept of the graph of the linear equation.
--5x = 8-y

Answers

Answer:

Slope: -5

Y-intercept: (0,8)

Step-by-step explanation:

Plz mark brainliest.

22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

Answers

Answer:

9(331)-123=1

Step-by-step explanation:

2. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ

What is the surface area of a cube with a side length of 5 inches?
O 25 square inches
O 100 square inches
O 125 square inches
O 150 square inches

Answers

The answer is :150 square inches because: a cube have equal lengths like a square so therefore 5x5 = 25. There are 6 sides of a cube so: 25x 6= 150

Answer:

for lazy people is D. >w<

Step-by-step explanation:

what is the answer for this -4(x-1)+6x=2(17-x)

Answers

Answer:

15/2 or 7.5

Step-by-step explanation:

-4(x-1)+6x=2(17-x) PEDMAS

-4x+4+6x=34-2x combine terms

2x+4=34-2x subtract 4 and add 2x

4x=30  divide by 4

x=15/2

Answer:

Step-by-step explanation:

-4x + 4 + 6x = 34 - 2x

Solving like terms

2x + 4 = 34 - 2x

Bringing like terms on one side

2x + 2x = 34 - 4

4x = 30

x = 30/4

x = 15/2

Can someone explain factoring expressions to me

Answers

Answer:

Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.

Hope it helps. have a wonderful thanksgiving day! :)

Which side lengths form a right triangle?
Choose all answers that apply:

Answers

Answer:

C

Step-by-step explanation:

Other Questions
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He has taken a number of steps to make sure he is preparedfor example, he met up with friends from class to review their notes as a group, he added in extra study time instead of attending his usual workouts at the gym, and he made sure to eat healthy meals and avoid drinking too much coffee. When he woke up after a full night's sleep the morning of the test, he reassured himself that he had put in a lot of effort and he would do well. On the day of the test, Christopher attempted to calm his nerves, looked over the entire exam, and made a plan to answer the easiest multiple-choice questions first. When it came time to write the essay portion of the exam, he created a short outline of what he wanted to say, though he acknowledges that he didn't always stick to his main points. He ended up writing more than he anticipated (almost two full pages) because he wanted to share everything he knew about the topic. Christopher admits that he guessed at some of the items on the multiple-choice part of the exam. He felt sure he had done well on the essay, but he scored only 30 out of the 50 possible points. Overall, Christopher received a grade of 63 out of 100 points on the exam.Which of the following might have negatively impacted Christopher's test preparation? In the week leading up to the exam, Christopher skipped his regular workouts, replacing them with extra study sessions. He chose to get a good night's sleep the night before instead of staying up to cram. He joined a study group instead of studying independently. He used positive self-talk, which likely gave him a false sense of security. 2. What could have gone wrong during the exam? He took time at the beginning of class to survey the entire exam. He answered the easy questions first. He developed a brief outline of his essay before beginning to write. 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