Greg has a 15 foot ladder. He needed to clean his gutters which are 12 feet high from the ground. How far away does Greg need to place the ladder from the base of the house to reach the gutters

Answers

Answer 1

Answer:

Base = 81 feet

Step-by-step explanation:

Given that,

Length of the ladder = 15 foot

Greg needed to clean his gutters which are 12 feet high from the ground.

We need to find how far away does Greg need to place the ladder from the base of the house to reach the gutters. Let it is b.

Here, hypotenuse = 15 feet, height = 12 feet and base = b

We can use Pythagoras theorem to find b.

[tex]b^2+h^2=H^2\\\\b^2=H^2-h^2\\\\b^2=15^2-12^2\\\\b^2=225-144\\\\b=81\ \text{feet}[/tex]

So, the ladder should be placed at a distance of 81 feet from the base of the house to reach the gutters.


Related Questions

Pls help extra points and mark brainlist

Answers

Answer:

Freetime!

Step-by-step explanation:

Leisure means happy place or a free space or in this case "Freetime"!

The right answer is: freetime

Two cars depart an intersection.
One goes north.
The other goes west.
Each car travels at a constant speed of 30 miles per hour.
Assuming the roads go on forever, what will be the distance between the cars after 1 hours and 30 minutes in miles?

Answers

Answer:

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Step-by-step explanation:

This question can be solved using the Pythagorean Theorem.

Both cars travel at a constant speed of 30 miles per hour. So, after 1 hour and 30 minutes, which is 1 and a half hour, they will have traveled 30*1.5 = 45 miles.

The distance between them is the hypotenuse of a right triangle, in which the sides are 45. So

[tex]d^2 = 45^2 + 45^2[/tex]

[tex]d = \sqrt{45^2 + 45^2}[/tex]

[tex]d = 63.64[/tex]

The distance between them after 1 hour and 30 minutes will be of 63.64 miles.

Find the volume of the figure. Round your answer to two decimal places, if needed

Answers

Answer:

[tex]\mathrm{A. \:756\:in^3}[/tex]

Step-by-step explanation:

The volume of a rectangular prism can be represented by [tex]l\cdot w\cdot h[/tex]. The dimensions of this prism are 6x9x14.

Therefore the volume of this prism is:

[tex]6\cdot 9\cdot 14=\fbox{$\mathrm{A. \:756\:in^3}$}[/tex].

Why are they called congruence transformations?​

Answers

Answer:

That is, two objects are congruent if we can move one of the objects, without changing its shape or size, in such a way that it fits exactly over the other image, and we call these movements congruence transformations.

Someone help me??? Would be nice

Answers

I believe it's A. B. and C.

Step-by-step explanation:

B is closest to y-axis

A isn't aligned with b

please help i am so confused

Answers

I think it would be B. X+8/6

Write in lowest terms:
9/(15x)

Answers

Answer:

Step-by-step explanation:

3x - 25

 ———————

    5  

Should be something similar to that, sorry If i couldn't help much.

The equation of line t is y = -2x + 9. Perpendicular to line t is line u, which passes through
the point (-10, 4). What is the equation of line u?
Write the equation in slope-intercept form. Write the numbers in the equation as proper
fractions, improper fractions, or integers.

Answers

Answer:

Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

Step-by-step explanation:

Equation of line t : y = -2x + 9.

We need to find equation of line u, which is perpendicular to line t and passes through point (-10,4)

The equation must be in slope-intercept form.

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

Finding Slope:

If two lines are perpendicular, their slopes are opposite i.e [tex]m=-\frac{1}{m}[/tex]

Slope of line t: y=-2x+9 we get m =-2 (Comparing with general form y=mx+b, we get m =-2)

Slope of line u: [tex]\frac{1}{2}[/tex]

So, we get Slope of line u: m= [tex]\frac{1}{2}[/tex]

Finding y-intercept:

Using slope m= [tex]\frac{1}{2}[/tex] and point(-10,4) we can find y-intercept

[tex]y=mx+b\\4=\frac{1}{2}(-10)+b\\4=-5+b\\b=4+5\\b=9[/tex]

Equation of line u:

So, equation of line u, having slope m= [tex]\frac{1}{2}[/tex] and y-intercept b=9, we get:

[tex]y=mx+b\\y=\frac{1}{2}x+9[/tex]

So, Equation of line u in slope-intercept form is: [tex]\mathbf{y=\frac{1}{2}x+9 }[/tex]

An art class is making a mural for their school which has a triangle drawn in the middle. The length of the bottom of the triangle is x. Another side is 13 more than two times the length of the bottom of the triangle. The last side is 11 more than the bottom of the triangle. Write and simplify an expression for the perimeter of the triangle.

Answers

Answer:

P = 4x + 24

Step-by-step explanation:

Sides of the triangle:

bottom = xside1 = 2x + 13side2 = x + 11

Perimeter is the sum of side lengths:

P = x + 2x + 13 + x + 11 = 4x + 24

Solve by multiplying digits of value and filling in zeros:

200 x 80 x 60

Answers

Answer:

down below:)

Step-by-step explanation:

200 times 80 times 60 is:

200 times 80 is 16000

16000 times 60 is 960000

I need help plz solve this 54 = 6B

Answers

Answer:

b=9

Step-by-step explanation:

54=6b

b=9

(divide by 6 to get b alone)

b= 9 because 6(9)=54

Three cans of tuna cost $2.00. How many cans of tuna can you buy for $12.00?
Best answer gets the brain thing

Answers

Answer:

6

Step-by-step explanation:

Answer:

3 cans cost 2

1 can cost 2/3                    

 I wrote 2/3 to make it easier so you don't have to write in cents

2/3 can be spend to buy 1 can

12 can be spend to buy (2/3)(12) can

(2/3)(12)=8 cans

So the answer is 8 cans

You can buy 8 cans of tuna with 12 dollars

Solve for p. U=1/7pd

Answers

Answer:

U =1/7pd

Multiplying through by 7pd, we have U7pd=1

Dividing through by U7d , we have p=U7d*1

Therefore p= U7d

I will give brainiest to whoever answers correctly !!

Answers

Answer:

$10511.075

Step-by-step explanation:

Given :

Interest rate, r =. 1.25% = 0.0125 compounded semianually

Principal = 10000

Number of years, t = 4 years

Compound interest :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

n = 2 (quarterly)

A = 10000(1 + 0.0125/2)^2*4

A = 10000(1 + 0.00625)^8

A = 10000(1.00625)^8

A = 10000 * 1.051107529

A = 10511.075

Final. Amount to. Be repaid = $8515.13

Find the missing angle.

Answers

Answer:

[tex]m\angle XYV=135^{\circ}[/tex]

Step-by-step explanation:

Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].

The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].

[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.

Therefore,

[tex]m\angle TYU=m\angle XYW=6x+7[/tex]

Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:

[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].

Plugging in [tex]x=8[/tex], we have:

[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].

Therefore,

[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].

12. Which of the relations below is a function?
A. {(1, 1,), (2, 1), (3, 1), (4, 1), (5, 1)}
B. {(3, 1), (2, 2), (3, 3), (2, 4), (2,5)}
C. {(2, 1), (2, 2), (2, 3), (2, 4), (2,5)}
D. {(1, 1), (2, 2), (2, 3), (2, 4), (1,5)}

Answers

Answer:

A

Step-by-step explanation:

a function may not have the same values of X.

What is the value of (4)5/(4)3?

Answers

(4*5)/(4*3)
= 20/12
= (Now, we will simplify this equation and the least common multiple of 20 and 12 is 4 so, we will divide both 20 by 4 and 12 by 4 to get our answer in simplest and lowest form.
= (20 divided by 4)/(12 divided by 4)
= 5/3

So, in conclusion, the value of this question is 5/3.

PLEASEEEEEE HELPPPPPPP

What types of jobs were Deaf people frequently hired for during the wars?

health care

part time

construction

factory

Answers

Answer:

Factory

Step-by-step explanation:

Answer:

factory

Step-by-step explanation:

GIVE ME THE CORRECT ANSWER I THANK, GIVE 5 STARS, AND GIVE BRAINLIEST!!!!

System of equations
Solve by substitution:

y = x + 7

2x + y = -5

Group of answer choices

(4 , -3)

(4 , 3)

(-4 , 3)

(-4, -3)

Answers

Answer:

C: (-4,3)

Step-by-step explanation:

2x+x+7=-5

3x+7=-5

3x=-12

x=-4

y=-4+7

y=3

(-4,3)

CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP

Answers

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

In order to help me move, I got a credit card with a $1,000 credit limit and spent all $1,000 the first month. The credit card charges compound interest at a rate of 15% a month, BUT, you don’t have to make any payments for one year. How much debt will I have after 1 year of having this card?

Answers

Answer

The tax/ your paying a year is 150, so you would owe 1,500 btw, answer my recent question maybe..?

Step-by-step explanation:

Sort the following expressions by rewriting tham is the table.

Answers

Answer:

Helllllllllllllllllo pls say it back  or ur stupied

Step-by-step explanation:

Estimate the sum of 13 and 45

Answers

Answer:

58

Step-by-step explanation:

Answer:

58

Step-by-step explanation:

13 plus 45 is 58

you add them.

do you understand?

Find the greatest common factor of these two expressions :

20u^8 y^7 x^6 and 12u^3 y^4

Answers

The greatest common factor is: 4u^3 y^4

3 consecutive integers for 273

Answers

Answer:

90, 91 and 92

Step-by-step explanation:

Given

Consecutive integers = 273

Required

Find the integers

The question seem to be incomplete. However, I'll assume we're dealing with sum.

Let the smallest integer be y.

So,

y + y + 1 + y + 2 = 273

Collect like terms.

y + y + y = 273 - 2 - 1

3y = 270

Divide both sides by 3

y = 90

Hence, the integers are 90, 91 and 92

Someone Please help solve this asap

Answers

Answer:

Part A: Peter is, based on the graph, Peter's line is steeper(or has a higher slope) than Gina's.

Part B: Gina, She started with 70, while Peter started with 20. Based on the graph

Part C: They had the same amount of money on week 10, both of their dots are on the same point. Based on the graph.

Part D: Y = 10x + 20.

Part E: Y = 5x + 70

Step-by-step explanation:

help me.... this is do in 13 min

Answers

Answer:

d

Step-by-step explanation:

The answer would be 2/9

PLEASE HURRY I'LL MARK BRAINLIST!!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Bo, Mike, and Cat are playing a game involving decimals in math class. So far, they have scored 100.2 points combined. Bo scored 38.65 points and Mike scored 29 points. How many points did Cat score?

A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
How many points did Bo score, as represented by A?



Who scored 29 points, as represented by B?



How many points did the 3 players score all together, as represented by C?



What will the answer to the question be?

Answers

Answer:

67.65

Step-by-step explanation:

Answer

cat scored: 38.65+29=67.65

100.2-67.65=32.55#

bo 29 marks  

Step-by-step explanation:

A teacher is 5 feet 8 inches tall and she shrinks to 9 inches. How tall will her pencil be if it undergoes the same scale shrink and was originally 12 inches?
A) 1.59 inches
B) 1.86 inches
C) 2.68 inches
D) 6.8 inches

Answers

Answer:

c

Step-by-step explanation:

2.68

Mr. Toshiro manages a company that supplies a variety of domestic and imported nuts to supermarkets. He received as order for 120 bags of cashews , 310 bags of walnuts, and 60 bags of Brazil nuts. The price per bag for each type are $29, $18, and $21, respectively. Represent the number of bags ordered and the cost as vectors.

Answers

Answer: Total cost would be 10,320

Step-by-step explanation: Hope this helps

Other Questions
what is the empirical formula 63.0 g Rb and 5.90 g O. What were 3 economic hardships that made the people resent their government (Weimar Republic) and vote Hitler into power Translate the phrases to algebraic expressions.The sum of 8 times a number and 3 Jose tosses a fair coin 2 times. What is the probability it will land on heads two times in a row?1/41/21/81/6 HELP I NEED HELP ASAPTaxi Driver A(x)=1.50x+5 and Taxi Driver B charges B(x)=1.25x+8 where x is the number of miles driven. After how many miles will the cost be the same for each taxi driver? 4. Take a beaker (jar or jug) with some water and put some drops of red or blueink in it. Take a tender twig of any flowery plant with leaves and flowers, preferablywhite flowers, and put it in the beaker for 6 to 8 hours. What do you observe? Forfurther examination cut across its stem and look for the presence of colored water.Explain your observations. Hurry please! Thank you I really appreciate it :) Help me please I'm giving brainiest five stars and heart!!! (*5* points!)Please answer the following essay question:What message about communication does Act One of The Phantom Tollbooth convey? Give examples to support your answer.Answer in paragraph form using 5-7 complete sentences. Do three sentences about declaraction of rights? write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest clouds form by the condensation of...A: Water vapor B: dust or dirt C: heatD: rain Pls help extra points and mark brainlist Which of the following is NOT a fruit?las manzanas las zanahoriaslas naranjas las bananas Introduction paragraph about to build a fire Help me please...........:) Which of the following statements BEST defines first aid?A. First aid is treatment given at the time of an injury.B. First aid is treatment given at the location of an injury.C. First aid is treatment given at the time and location of an injury.D. none of the abovePlease select the best answer from the choices provided.ABD Indicate whether each statement is true or false. 1. Rod cells are depolarized in the dark. (Click to select) 2. Glutamate binds to receptors on bipolar cells and causes them to depolarize. (Click to select) 3. Light and dark adaptation are accomplished by changes in the amount of available iodopsin. (Click to select) 4. When light reactions occur, retinal is completely released from opsin. (Click to select) I will give brainiest to whoever answers correctly !! 3. Which of the following is a chemical property(10 Points)melting pointOstates of matterdensityflammability4. Substances formed as a result of a chemical reaction are called * Is this relation a function? justify your answerCheck imageABCD