Please help me with my Geometry.

Please Help Me With My Geometry.

Answers

Answer 1

Step-by-step explanation:

2 similar triangles (the angles are the same, and the lengths of the corresponding sides have the same multiplication factor from one triangle to the other) :

1. support post (14ft), post to back (b), the long roof line

2. front to post (f), support post (14ft), dotted line

so, because the multiplication factor is the same for the sides, the ratio

"support post" / f

must be the same as

b / "support post"

14 / f = b / 14

b = 14²/f = 196/f

and then we know that

f + b = 53

by putting the first into the second equation we get

f + 196/f = 53

f² + 196 = 53f

f² - 53f + 196 = 0

the solution of such a quadratic equation in general is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = f

a = 1

b = -53

c = 196

f = (53 ± sqrt(53² - 4×1×196))/(2×1) =

= (53 ± sqrt(2809 - 784))/2 = (53 ± sqrt(2025))/2 =

= (53 ± 45)/2

f1 = (53 + 45)/2 = 98/2 = 49

f2 = (53 - 45)/2 = 8/2 = 4

as the distance "front to post" is shorter than "back to post", f2 = 4 must be or solution.

therefore, the support post is positioned 4ft from the front of the house.


Related Questions

Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, where lemon imports are in metric tons and the fatality rates are per​ 100,000 people, find the best-predicted crash fatality rate for a year in which there are 425 metric tons of lemon imports. Is the prediction​ worthwhile?
Lemon Imports Crash Fatality Rate
232 16
268 15.7
361 15.4
472 15.5
535 15

Answers

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

The regression equation is; [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

[tex]\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right][/tex]

The least squares regression equation is; [tex]\overline y = b \cdot \overline x + c[/tex]

Where;

[tex]b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}[/tex]

[tex]\overline y[/tex] = The mean crash fatality = 15.52

[tex]\overline x[/tex] = The mean lemon import = 373.6

Therefore;

[tex]b = \dfrac{-171.36 }{67093.2 } = -0.00255[/tex]

c = [tex]\overline y[/tex] - b·[tex]\overline x[/tex] = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

The regression equation is [tex]\underline{\overline y = -0.00255 \cdot \overline x + 16.47268}[/tex]

Second part;

When the imports is 425 metric tons of lemon, we have;

[tex]\overline y[/tex] = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

The prediction is worthwhile

Learn more about regression equation here:

https://brainly.com/question/5586207

Ed and Sally are taking a tour of Paris. There are 333 different types of tours (walking tour, bike tour, and trolley tour) and 222 different times each tour is offered (morning and evening). They each created a display to represent the sample space of randomly picking a type of tour and a time.
Whose display correctly represents the sample space?

Answers

Answer: the answer is sally only

i really need help with these two questions pleeeaassseeee

Answers

Answer:

10 is B

11 is D

Step-by-step explanation:

A shopkeeper bought 2 mobile set for 5000 each . If he sold a mobile with 20% profit and 20% loss . How much percent profit or loss did he have?​

Answers

Answer: NO GAIN for the shopkeeper

Step-by-step explanation:

20/100 *5000=1000

pls help mwah I also give brainlest <3

Answers

Y= 1.5 because when u look at the graph u can see

please help me guys thank you :) !

Answers

Step-by-step explanation:

y=-2(-6)-5

y=12-5

y=7

y=-2(-3)-5

y=6-5

y=1

y=-2(0)-5

y=-5

y=-2(3)-5

y=-6-5

y=-11

evaluate the expression when x= 2and y= -3 x+y

Answers

Answer:

- 1

Step-by-step explanation:

x + y ← substitute x = 2 and y = - 3 into the expression

2 + (- 3)

= 2 - 3

= - 1

Sam opened a savings account by depositing $2,500. He will receive 5% compound interest and he leaves the money in the savings account for 6 year. How much money will be in her account after the 6 years?

Answers

Answer:

120 1 062 = × P . giving P = ÷ 120 1 062 . = 106 799

pls help me answer this 12 to 15 questions​

Answers

Answer:

Step-by-step explanation:

See attachment

12.  -23C

13.  28.9% Loss

14.  Diagram in the attachment.  The sides can be calculated with the Pythagorean Theorem.  Side = 3.61 cm

15.  Use trig relationships.  x = 5, y = 8.66

Pls help me rn bec sue tmr pls pls

Answers

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

10.) *
12
Sam ate 2/8 a pizza for dinner.
Then he ate 1/4 of the original pizza for lunch the next day. How much pizza is left
pizza for lunch the next day. How
much pizza is left

Answers

Answer:

4/8 (2/4)

Step-by-step explanation:

1/4 is 2/8

He ate 2/8 pizza for dinner

Then he ate 1/4 (2/8) the next day

So he has 4/8 (2/4) pizza left

Which statement is correct?

Answers

Answer:

The domain of the graph is all real numbers less than or equal to 0.

Hope this helps! :D

Factorise

3-x^2

Someone answer this question please

Answers

Answer:

No factors.

3 - x^2 is prime.

Step-by-step explanation:

Which sentence is correct?
A. -4 > 3
B. -4< -6
C. -4 > -7
D. -5 > -4

Answers

Answer:

C. -4 > -7

Step-by-step explanation:

answer= option C

B. I think but i’m not sure

Help plz, no links.

Answers

Answer:

1) g = -8 (one solution)

2) b = 0 (infinitely many solutions)

3) w = 5/6 (one solution)

4) c = 0 (infinitely many solutions)

Step-by-step explanation:

1) 1/2g -4 = 2g - 1/2g + 4

1/2g -2g +1/2 g = 8

-g = 8

2) 5.3-5.3 = 2.1b + b - 3.1b

0=0

3) 3/4w+ 3/4w = 10/4 - 5/4

3/2w = 5/4

w = (5/4) / (3/2)

w = 5/6

4) 5.7c + 3.2c - 7.8c - 1.1c = 1.5 - 1.5

0 = 0

WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!

9y + 2 = 58; {4,5,6}
Please show your work.

A, Y=4
B, Y=5
C, Y=6

Answers

Answer:

Im pretty sure c Y=6

Step-by-step explanation:

9y+2=58

Subtract 2 from both sides.

9y=58−2

Subtract 2 from 58 to get 56.

9y=56

Divide both sides by 9.

y= 56/ 9  Which is Also 6.2

Angelina has 32 cookies. Jerry had 51 cookies. If Jerry stole 14 of Angelina's cookies but then gave her 28 cookies, how many cookies do Jerry and Angelina have left?

Having a hard time!

Answers

Answer: They have 83 cookies all together.

Step-by-step explanation: First we have to do 32 - 14, because Merry stole 14 of Angelinas cookies, so 32 - 14 = 18. So, she has 18 cookies left. Then if he gave her 28 cookies, we do 18 + 28 = 46. So we know that Angelina has 46 cookies. Now we do the same thing with Jerry. So since jerry took 14 of Angelinas cookies, we do 51 + 14 = 65. Then we do 65 - 28, since he gave her 28 cookies, so 65 - 28 = 37. So Jerry has 37 cookies, and Angelina has  46 cookies. Then we add them up since they are asking for the total, 37 + 46 = 83.

So if Jerry stole 14 of Angelina’s cookies, then Angelina would have 18 cookies and Jerry would have 65.

This is represented as 32-14=18 and 51+14=65

Then Jerry gave 28 of his 65 cookies and he is now left with 37 cookies and Angelina is left with 46 cookies!

This is represented as 65-28=37 and 18+28=46

Hope this helps!!

Is 1:4 equivalent to 12:3

Answers

Answer: no

Step-by-step explanation:

first, we have to simplify when finding if they are equivalent or not.

1:4 = 0.25

12:3 = 4:1

Answer:

Yes (if your doing fractions)

Step-by-step explanation:

If you didn’t know how to simplify you could see the greatest possible multiple that 3 and 12 share. So 3 is the greatest possible multiple because 3x4=12. So you do the denominator and numerator to divide 3 and eventually you will get 1/4. (Sorry if I’m not accurate)

HELPPPPP PLEASE ACTUALLY GIVE ME THE ANSWER AND NOT JUST A link PLSSS ITS DUE IN 23 MINUTESSS!!!!!!!!!!!! HELP

Answers

Answer:

4 1/9

Step-by-step explanation:

Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.

If similar, state if it’s AA similarity, SSS or SAS similarity

Answers

Answer:

they are not similar

Step-by-step explanation:

MN/VW=16/22=8/11

LN/UW=20/28=5/7

LM/UV=25/35=5/7

there is no information about the angles, you apply SSS but in this situation not all sides are proportional

IM GIVING TONS OF POINTS PLEASE HELP THANKS!

The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 112
cm^2 , what is the length of the diagonal?

Answers

the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

Can somebody please help me

Answers

Answer:

b is 62 a is 118 c is 59 I have to get 20 characters

Which of the following numbers are whole numbers
A-0.6122
B-2469
C- 759084.2
D-435.752
E-6564.27
F-183

Answers

Answer:

B - 2469 and F - 183

Step-by-step explanation:

B and F are whole numbers because they don't have any decimal places.

Answer:

b

Step-by-step explanation:

because it's a b so you would automatically wanna put down B because It's a B

What is the next term of the geometric sequence?
108, 36, 12,


Pls lmk

Answers

Answer:

4

Step-by-step explanation:

Answer: 4

Step-by-step explanation: 108/3 is 36, 36/3 is 12, and 12/3 is 4. :)

A flying disc has a 7 3/4 inch radius. What is its approximate circumference,
rounded to the nearest inch?

Answers

Answer:

  49 in

Step-by-step explanation:

The circumference of a circle with radius r is ...

  C = 2πr

The disc with the given radius has a circumference of ...

  C = 2π(7.75 in) ≈ 49 in

Solve 12x - 6] >10 please help ❤️❤️

Answers

Answer:

Hya there!!

_______________________

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x  >  4 /3

Interval Notation:

( 4 /3 , ∞ )

_______________________

“Sleep my little baby-oh

Sleep until you waken

When you wake you'll see the world

If I'm not mistaken...

Kiss a lover

Dance a measure,

Find your name

And buried treasure...

Face your life

Its pain,

Its pleasure,

Leave no path untaken.”

― Neil Gaiman, The Graveyard Book

_______________________

Think of life as a mytery because well it sort of is! You don't know what may happen may be good or bad but be a little curious and get ready for whatever comes your way!! ~Ashlynn

Write the equation of the line in fully simplified slope-intercept form.

Answers

Bro why u cheating on the test I’m taking the same one

write an equation in slope intercept form for the line that passes through the given point and is perpendicular to the graph of the equation

(4,2), y=1/2x+1

Answers

Answer:

y = -2x + 10

Step-by-step explanation:

Perpendicular slopes are negative reciprocals of each other.

So the given equation is y = 1/2x + 1 , the slope is 1/2. Therefore the perpendicular slope is -2.

Use slope-intercept form y = mx +b, substitute the slope = -2 and point (4, 2) into the slope-intercept form.  After that solve for b

y = mx + b

2 = -2(4) + b

2 = -8 + b

10 = b

The answer is y = -2x + 10

write the sum and then write an equivalent expression by collecting like terms and removing parentheses the opposite of (5x - 1) and 5x

Answers

Answer:

remove the bracket 5x-1+5x collect like term 5x+5x-1

10x-1 is the answer

Help Me!
Refer To The Attachment
NOTE: Only for best users like Itz0kaul,Mscute, Mhanifa etc.
Spams Not allowed
Need answer with explanation
If you don't know the answer don't answer.
Thank You!​

Answers

Answer:

[tex]to \: know \: the \: answer[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

Hope this helps !!

Trigonometric identities are used to prove or disprove trigonometric ratios

The trigonometry identity is given as:

[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]

Simplify the trigonometry identity, as follows:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

This is so because:

[tex]\cos(\pi + x) = -\cos(x)[/tex]

[tex]\cos(-x) = \cos(x)[/tex]

[tex]\sin(\pi -x) = \sin(x)[/tex]

[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]

So, we have:

[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]

Evaluate the products

[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]

Cancel out the common factors

[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]

Rewrite the trigonometry identity, as follows:

[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]

In trigonometry,

[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]

So, we have:

[tex](\cot(x))^2 = \cot^2x[/tex]

Remove the bracket

[tex]\cot^2x = \cot^2x[/tex]

The above equation is true.

Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved

Read more about trigonometric identities at:

https://brainly.com/question/7331447

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