A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.

Answers

Answer 1

Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.

The height of the house is 28.8 feet.

Reasons:

The given parameters are;

Height of the fence = 12 foot

Length of the shadow cast by the fence = 25 foot

Distance of the house from the property line = 60 feet

The maximum allowable height for the house.

Solution:

Using similar triangles, we have;

[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]

Which gives;

[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]

[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]

The height of the house = 28.8 feet

Learn more here:

https://brainly.com/question/10269775

Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.

A 12 Foot Fence On The Property Line Casts A 25 Foot Shadow On The Shortest Day Of The Year, And The

Related Questions

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!7

Answers

Answer:

D

Step-by-step explanation:

yeah-ya........ right?

Given: AB is perpendicular to BD. Find m<1
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

angle 5 = supplementary to 89 = 180-89 = 91°

the sum of all angles in a triangle is always 180°.

so,

angle 3 = 180 - 51 - 91 = 38°

angle 2 = complementary to 38 = 90-38 = 52°

therefore,

angle 1 = 180 - 38 - 52 = 90°

What is the value of the rational expression 6-x/x+5 when x = 2?

4/7
4/5
8/7
8/5

Answers

Answer:

4/7

Step-by-step explanation:

6 -2/2+5 = 4/7

thats it simple

Answer: 10

Step-by-step explanation:

6-x/x+5

6-(2)/(2)+5

Order of Operations

6-1+5

5+5

10

Annelise buys a car that is one year old for $13600.
The value of this car has reduced by 15% of the value when it was new.
Calculate the value of the car when it was new.

Answers

Answer:

$16000

Step-by-step explanation:

Initial value is x, current value is $13600, price reduction by 15%.

x - 15% = 13600x - 0.15x = 136000.85x = 13600x = 13600/0.85x = 16000

One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.

Angle GAF = 105°. Work out the value of n. ​

Answers

Answer:

n = 8.

Step-by-step explanation:

The interior angle of a regular hexagon = 120 degrees.

So m < GAB = 360 - 120 - 105

= 135 degrees so the regular polygon has a total of 135n degrees.

Using the formula for the sum of interior angles of a polygon,

For the polygon with n sides:

Sum of interior angles = 180(n - 2)

135n = 180(n - 2)

135n = 180n - 360

45n = 360

n = 360/45 = 8.

Math and Science If 7 giant solar power

plants generate 1.3 gigawatts (GW) of

energy to power 900,000 homes, how

many gigawatts can 21 giant solar plants

generate?

Answers

Answer:

Step-by-step explanation:

multiply everything by three to get your answer

What is the distance between point (2,6) and (5,2)?

Answers

Answer:

5 units

Step-by-step explanation:

Distance between two points can be found by using the pythagorean theorem

The distance in y = 4

The distance in x = 3

3² + 4² = c²

9 + 16 = c²

25 = c³

c = √25

c = 5

-Chetan K

Answer:

5

Step-by-step explanation:

[tex]\mathrm{Distance \:\:Formula:}\\\\\mathrm{d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}}[/tex]

[tex]\underline{\mathrm{Plug \:the\: points:}}[/tex]

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\underline{\mathrm{Solve:}}[/tex]

[tex]d = \sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{(5 - 2)^2 + (2-6)^2}[/tex]

[tex]\sqrt{3^2 + 4^2}[/tex]

[tex]3^2 = \sqrt{9+4^2} =\boxed{9}\\\\4^2=\sqrt{9+16} = \boxed{16}[/tex]

[tex]\sqrt{25}[/tex]

[tex]\sqrt{5^2}=5[/tex]

DO THE MATH
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(250)? (2 points)

1. The house sold for $250,000.
2. The house stayed on the market for an average of 250 days before being sold.
3. This is the average number of days the house stayed on the market before being sold for $250,000.
4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold.

Answers

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:

1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)

2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)

3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)

4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)

This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

I hope I've helped! :)

Answer:

f(p) where p is the price in thousands. f(250) means the average number of days before being sold for $250,000. Lets take a look at the answers and see which fits the best:1. The house sold for $250,000. (This is what the 250 stands for, but we need to find what f(250) means and not just 250)2. The house stayed on the market for an average of 250 days before being sold. (Nope, not even close)3. This is the average number of days the house stayed on the market before being sold for $250,000. (Yes! This seems right, f(250) is the average number of days before being sold for $250,000)4. The house sold on the market for $250,000 and stayed on the market for an average of 250 days before being sold. (Nope, we are not told anywhere that it takes 250 days to be sold)This means that our answer has to be 3) This is the average number of days the house stayed on the market before being sold for $250,000.

Suppose 8x+16 ice cream cones were sold on Saturday and 7x-9 were sold on Sunday. What is the total number of ice cream cones sold?

Answers

Answer:

8x+16

7x-9

_____

15x+7

Step-by-step explanation:

Add or subtract like terms

Answer:

15x+7

No step I did it

30 POINTS, I NEED FAST AND CORRECT ANSWERS PLEASE!!!!

The average cost of a compact car at a certain dealership over the last 5 years has ranged from $14,000
to $16,000. Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning.

Answers

Answer:

Plz give brainliest

Step-by-step explanation:

I believe

A) 0 - 20,000

B) Interval= 2000 or 3000

5+x>5x-11 solve the inequality

Answers

Answer:

x<4 hope it helps and it's correct

x <4 thats the answer ok

What are the zeros of the function
f(x)=x^2+2x-8

Answers

Answer:

-4, 2    (-4,0) (2,0)

Step-by-step explanation:

factoring in binomials

[tex](x+4)(x-2)=x^{2} +2x-8[/tex]

The zeros:

[tex]x+4=0\\x=0-4\\x_{1} =-4[/tex]

[tex]x-2=0\\x=0+2\\x_{2} =2[/tex]

I hope this help you

please explain this got a final tomorrow

Answers

Answer:

9/9=(1/2x+2)/x_2x_2=1/2x+21/2x=4x=8

Find the measure of angles A and B in the diagrams below.​

Answers

Answer:

A = 147°

B = 33°

Please help!!!!!!!!!!!!!!!! Find the scale factor for the side lengths

Answers

Answer:

Scale factor is 1/4

Step-by-step explanation:

You can easily calculate the scale factor of anything by dividing the new length by the old one. Then just simplify if necessary.

TS is 8, and T'S' is 2, so:

[tex]\frac{2}{8}=\frac{1}{4}[/tex]

edit: fixed fraction

-4(x+9)+44=16-5x
solve the equation

Answers

Maybe 8/11, if you want it as a decimal it’s 0.723…

Is the sequence geometric if so identify the common ratio 1/3, 2/9, 4/27, 8/81

Answers

Answer:

It is a geometric sequence and the common scale factor is [tex]\frac{2}{3}[/tex].

Step-by-step explanation:

In an arithmetic sequence, the difference between consecutive terms is always the same.

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

In a geometric sequence, each consecutive term was multiplied by some factor over the last.

[tex]a_n=ax^n^-^1[/tex]

where aₙ is the nth term, n is the index, and x is the scale factor.

In the given sequence, there is no common difference so it is not an arithmetic sequence. There is, however, a common scale factor applied to each consecutive term. Each term is multiplied by [tex]\frac{2}{3}[/tex] over the last.

The formula for this sequence would be:

[tex]a_n=a\frac{2}{3} ^{n-1}[/tex]

Answer:

r = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms , that is

r = a₂ ÷ a₁ = a₃ ÷ a₂ = a₄ ÷ a₃

Then

a₂ ÷ a₁ = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{2}{9}[/tex] × 3 = [tex]\frac{2}{3}[/tex]

a₃ ÷ a₂ = [tex]\frac{4}{27}[/tex] ÷ [tex]\frac{2}{9}[/tex] = [tex]\frac{4}{27}[/tex] × [tex]\frac{9}{2}[/tex] = [tex]\frac{2}{3}[/tex]

a₄ ÷ a₃ = [tex]\frac{8}{81}[/tex] ÷ [tex]\frac{4}{27}[/tex] = [tex]\frac{8}{81}[/tex] × [tex]\frac{27}{4}[/tex] = [tex]\frac{2}{3}[/tex]

Then sequence is geometric with common ratio r = [tex]\frac{2}{3}[/tex]

It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?

Answers

The answer would be $120 (cost for 5 days a week) / 5 (the days of week)

Result: $24 per day
The Answer is : $24 per day

3/11 divided by 3/11 in simplest form

Answers

Answer:

1

3/2 or 1 1/2

Step-by-step explanation:

3/11 ÷ 3/11

Copy dot flip

3/11 * 11/3

3/3 * 11/11

1*1

1

9/10 ÷3/5

Copy dot flip

9/10 * 5/3

9/3 * 5/10

3 * 1/2

3/2

-2 1/4 x -4/5

please help

Answers

Answer:

1.8

Step-by-step explanation:

-2 1/4 x -4/5 = 9/5

= 1 4/5

= 1.8

Nestle Crunches cost 30 cents and Snickers cost 50 cents. Jessica and Tori
treated the class and they spent $6.80. How many students had Snickers if these
numbered 4 less than those who had Nestle Crunches?

Answers

Answer:

7 students had Snickers

Step-by-step explanation:

Nestle Crunches - nSnickers - s

System of equations according to given:

30n + 50s = 680     (converted $6.80 into 680¢)n = s + 4

Substitute n into first equation and solve for s:

30(s + 4) + 50s = 68030s + 120 + 50s = 68080s = 680 - 12080s = 560s = 560/80s = 7

Nestle crunches be xSnickers be y

Equations are

0.30x+0.50y=6.80=>30x+50y=680--(1)x=4+y=>x-y=4-(2)[/tex]

EQUATION(2)× 30

[tex]\\ \sf\longmapsto 30x-30y=120--(3)[/tex]

Subtracting (1) and (3)

[tex]\\ \sf\longmapsto 80y=560[/tex]

[tex]\\ \sf\longmapsto y=7[/tex]

What is the slope of the graph of the given line?

Answers

Answer:

slop = 2/3

Step-by-step explanation:

slope = rise/run

Start at the lower left point (-2, -1).

We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).

First we go up 4. The rise is 4.

Then we go right 6. The run is 6.

slope = m = rise/run = 4/6 = 2/3

slope = 2/3

a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.​

Answers

Answer:

a = 16

Step-by-step explanation:

The median is the middle value of the data arranged in ascending order.

If there is no exact middle then the median is the average of the 2 values either side of the middle

a + 1 , 2a - 1 ,  a + 7 ,  3a + 4

                   ↑ middle

Then

[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )

3a + 6 = 54 ( subtract 6 from both sides )

3a = 48 ( divide both sides by 3 )

a = 16

3. drinking 8 glasses of water a day is good for your health. if each glass of water is equivalent to 148 mL, how many liters of water you need to consume everyday.

Answers

Answer:

pap

Step-by-step explanation:

papi

Answer:

1184 mL (148×8)= 1.184 liters

PLZZZ HELP ASAP I NEED IT FAST!​

Answers

Answer:

5.4

Step-by-step explanation:

Step 1: Take any two side lengths from the quadrilaterals (one from ABCD and one from PQRS)

For this case, I'm going to take 4 and 7.2

Step 2: Divide the length you took from PQRS by the length you took from ABCD.

[tex]\frac{7.2}{4}[/tex] [tex]1.8[/tex]  (1.8 is the scale factor (SF))

Step 3: Since CD and RS and corresponding sides, multiply 3 by 1.8

[tex]3 * 1.8[/tex] [tex]5.4[/tex]

Therefore, x = 5.4.

Answer:

5.4

Step-by-step explanation:

Look at photo for explanation

What is the slope of the line that passes through the points (-3,3) and (-3, 13)?

Write your answer in simplest form.

Answers

Answer:

ΔY = 10

Step-by-step explanation:

Mark was thinking of a number. Mark adds 1.7 to the number, then doubles the result to get an
answer of 42.7. Form an equation with x

Answers

Answer:

2(x + 1.7) = 42.7

Step-by-step explanation:

"adds 1.7 to the number" represents x + 1.7"then double the result" combined with "adds 1.7 to the number" represents 2(x + 1.7) "answer of 42.7" combine with all of the above makes 2(x + 1.7) = 42.7

0.35 is best classified as a ________ number.

Fill the blank
why this stuff hard

Answers

Answer:

rational number (might be wrong)

13
n is a positive whole number.
(a) What type of positive whole number is 2n - 1?
(1)
(6) Write down an expression for the nth multiple of 5
(1)
Alan has 4 boxes of cakes.
There is the same number of cakes in each box.
Alan has a total of t cakes.
(c) Write down an expression, in terms of t, for the number of cakes in each box.
(1)

Answers

Answer:

use the Microsoft world language to define noun phrases and figure of speech

if u drove 45 miles in 75 min how many miles did u drive per min

Answers

Answer:

11.25

Step-by-step explanation:

i hope this is right sry if its not tho

Answer:

How many miles is a 45 minute drive? 45 min is 0,75*60 min. During this time you'll drive 0,75*60= 45 miles.

Step-by-step explanation:

Other Questions
A new bullet the mini ball makes the civil war more deadly than previous wars which country invented it what are the things that we need to consider in raising animals Graph the set of real numbers on a number line. {x|-3 < x and x< 1} Calculate the number of carbon dioxide (CO2) molecules produced in thereaction if 0.7525 moles of oxygen gas (O2) are consumed. The fundamental problem with the option ARM loan, as most commonly used, was that it created a rapid increase in the: PLEASE HELP ME ASAP Walking down a city street in the early hours of the morning, Josh is bumped by a man coming the other way. He almost loses his footing but keeps walking without stumbling. Patting his back pocket, Josh realizes that his wallet is gone. He believes that the man took it when he purposefully bumped into Josh. Of what kind of crime has Josh MOST likely become a victim? OA. personal robbery B. first-degree armed robbery OC. institutional robbery D. third-degree armed robbery What might have been theconsequences for ancient Egyptian farmers if one year theNile River flooded too much or not at all? What is the product of 2x + y and 5x - y + 3? I desperately need this answer. Thank You so much and have a great day How does inflation impact purchasing power and in a domino effect impact savings? Choose a project with a relatively simple description (e.g. building a LAN,designing a business web page, inventing a new communication device,etc.). Describe your project scope in 100 words and then identify at leastfive significant varied risks associated with the project. Be sure that atleast one of them is a positive risk Type your self narrative Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles. What is the best approach to revising a rough draft Find the length of the missing leg in the following right triangle.A) 35.5B) 20C) 8D) 400Please and thank you! r(m)r(m)r, left parenthesis, m, right parenthesis models the average monthly rainfall (in millimeters) in Tanzania for the years 190019001900-200920092009 as a function of the month number mmm.Month # Rainfall (millimeters)111 145145145222 135.8135.8135, point, 8333 179.1179.1179, point, 1444 171171171555 64.864.864, point, 8666 12.612.612, point, 6777 8.48.48, point, 4888 8.98.98, point, 9999 15.715.715, point, 7101010 29.529.529, point, 5111111 83.883.883, point, 8121212 142.6142.6142, point, 6Which number type is more appropriate for the domain of rrr?Choose 1 answer:Choose 1 answer:(Choice A)AIntegers(Choice B)BReal numbersWhat's the appropriate domain?Choose 1 answer:Choose 1 answer:(Choice A)A0\le m\le 179.10m179.10, is less than or equal to, m, is less than or eq .1/2 of David's money is2/3 of Henry's money.(a) Express David's money as a fraction of Henry's money Help anyone numbers 1-16 I am not asking for all just some or even one thank you Need some help for Exponents.1) Five squared2) Eight to the 5th power3) Nine cubed4) 2 x 2 x 2 x 25) 7 x 7 x 7 x 7 x 7 x 76) 2.3 x 2.3Find the value of each of the following:7) 548) 1329) (1.2)210) 18011) 1000212) 72 x 70Critical Thinking Applications13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.14) Create an application problem similar to the one above. Solve your problem. Explain each step.15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.16) Create and solve 5 problems using exponents. characteristics of an explorer and why?