To repair a roof that is 16 feet high, Mr. Ayala leans a 20-foot ladder against the side of the
building. To reach the roof, how far away from the building should he place the base of the
ladder?
1

Answers

Answer 1
The answer would be x=12
Answer 2

Answer:

12

Step-by-step explanation:

20 is the hypotenuse and 16 is the leg, first solve 20^2 (20x20) to get 400 and 16^2 (16x16) to get 256, then subtract the leg from the hypotenuse to obtain 144 (400 - 256) then obtain the square root of 144 ([tex]\sqrt{144}[/tex]) then 12 will be the awnser.


Related Questions

Evan has x red marbles, twice as many as blue marbles as red marbles and y yellow marbles. How many marbles does Evan have all together in terms of x and y?​

Answers

Answer:

3x+y

Step-by-step explanation:

x+2x+y

=3x+y

Point A is at (-6, 8) and point B is at (6, -7). What is the midpoint of line segment AB?

Answers

Answer:

(0,0.5)

Step-by-step explanation:

by using midpoint formula

-6+6/2 , 8+(-7)/2

0/2 , 1/2

0 ,0.5

hope you happy with this

please mark as brainlist

Find the volume of the sphere with a radius of 2 Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth

Answers

Answer:

33.51

Step-by-step explanation:

The volume for finding a sphere is V= 4/3 x π x r ^3

(V=volume, r= radius)

V= 4/3 x π x r ^3

V= 4/3 x π x 2 ^3

2^3= 8

Calculator: 4 ÷ 3 x 3.14 (OR PI SYMBOL) x 8

ANSWER: 33.51

A rectangle has a height of xxx and a width of 7x-47x−47, x, minus, 4.
Express the area of the entire rectangle.

Answers

Answer:

[tex]7x^{2}-4x[/tex]

Step-by-step explanation:

Area of a rectangle is expressed as Length * Width

Given the length/height = x

width = 7x-4

Area of the rectangle = [tex]x(7x-4)[/tex]

On opening the bracket;

Area of the rectangle = [tex]7x^{2}-4x[/tex]

By what number do you multiply the radius of a circle to double its area? Show the process to get the answer.

Answers

Answer:

Area of circle = πr²

New doubled area = πR² ( r ≠ R )

As it is double of older area :

πR² = 2πr²

R² = 2r²

R = √2r

Thus we have to multiply the radius to √2 to double its area

Given the function g(x) = 7x - 14 find its inverse function.

Answers

Answer:

The inverse is 1/7x +2

Step-by-step explanation:

y = 7x - 14

Exchange x and y

x = 7y-14

Solve for y

Add 14 to each side

x+14 = 7y-14+14

x+14 = 7y

Divide each side by 7

(x+14)/7 = 7y/7

1/7x +2 = y

The inverse is 1/7x +2

Answer:

g^-1(x)=x/7+2

Step-by-step explanation:

y=7x-14

7y-14=x

7y=x+14

y=1/7x+2

g^-1(x)=x/7+2

A plane is flying at an elevation of 25000feet. It is within the sight of the airport and the pilot finds that the angle of depression to the airport is 14 degrees. Find the diagonal distance between the plane and the base of the airport.

Answers

Answer:

The distance between the plane and the base of the airport = 103339.14 ft

Step-by-step explanation:

Consider the diagram attached.

We can notice that the a triangle (ABC) can be formed between the plane, the airport, and a vertical line drawn from the ground to the plane showing its altitude.

The angle of depression is 14 degrees. This means that angle BAC is 90 - 14 = 76 degrees.

From triangle laws, we will have that [tex]cos 76 = \frac{Altitude}{AC}[/tex]

[tex]AC = \frac{25000}{(cos 76)} = 103339.14 ft[/tex]

Hence, the distance between the plane and the base of the airport = 103339.14 ft

The diagonal distance between the plane and the base of the airport is 103339.14 ft.

This situation forms a right angle triangle.

The plane is flying at an elevation of 25000 ft.

The elevation is the height or opposite side of the triangle.

The diagonal distance between the plane and the base of the airport is the hypotenuse of the triangle.

Therefore, using trigonometric ratio,

sin 14° = opposite / hypotenuse

sin 14° = 25000 / d

d = 25000 / sin 14

d = 25000 / 0.2419218956

d = 103339.137361 ft

Therefore, the diagonal between the plane and the base of the airport is  103339.14 ft.

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The recommended daily allowance of cholesterol is 300 mg. What is 80% of the recommended daily allowance of cholesterol?

Answers

Answer:

240 mg

Step-by-step explanation: 300 * .8 = 240

i believe that the answer will be 240 because when u do .8x the daily you get that.

For what values of x is x^(2)-36=5x true?

Answers

Answer:

for

x= -4 and

x= 9

..............

square root of 476 is?

Answers

Answer:

The square root of 476 is 21.8

Answer: The answer is 21.817 I hope that helps!

Step-by-step explanation:

What’s 0.005 recurring as a fraction

Answers

Answer:

0.005 = 5/1000 = 1/200

Hope it helps

I will give the brainliest to whoever answers correctly.
Write the expression in radical form
(144x)^1/2 (simplify your answer) thankyou!!

Answers

Answer:

12[tex]\sqrt{x}[/tex]

Step-by-step explanation:

(144x)^1/2

(ab) ^ 1/2 = a^1/2 b^1/2

144 ^ 1/2  x^1/2

12 x^1/2

In radical form

12[tex]\sqrt{x}[/tex]

Divide and answer in simpilist form: 1/2 ÷4​

Answers

Answer:

1/8

Step-by-step explanation:

1/2 ÷4​

Copy dot flip

1/2 * 1/4

1/8

Answer:

1/8

I want brainliest!!! :)

Step-by-step explanation:

1/2 divided by 4

1/2/4 = 1/8

Which system of equations has one solution?
On a coordinate plane, 2 lines intersect at one point.
On a coordinate plane, 2 lines are parallel to each other.
On a coordinate plane, a line has a positive slope.

Answers

Answer:

A

Step-by-step explanation:

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

What are the one solution ?

One Solution Equation is when an equation has only one solution. This means that when you solve an equation, the variable can only be subsituted by one number to make an equation true.

So, when the two lines passes and intersect at one point it forms one solution so that is why option (A) is correct i.e., On a coordinate plane, two lines intersect at one point.

Hence, the option (A) is the correct answer i.e., On a coordinate plane, two lines intersect at one point

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Mums are plants that bloom in the fall.
Which statement describes the photoperiodism of mums?
They bloom when the days are longer.
O They bloom when the nights are longer.
O They bloom when the temperatures are warmer.
They bloom when the temperatures are colder.

Answers

They bloom when the nights are longer.

My reasoning is the mention of PHOTOPERIODISM. Photoperiodism means the reaction to length of a day or night cycle, since fall is the beginning of shorter days and longer nights, it is only reasonable that the answer is that THey bloom when the nights are longer.

Hope this helps, if not, comment below please!!!

Answer:

D

Step-by-step explanation:

100%

The dimensions of a CD case are 14.2cm by 12.5cm. Each case is approxiomately 1cm deep. What would be the volume of this stack of 17 cd cases to the nearest tenth?

Answers

Answer:

3017.5 cm³

Step-by-step explanation:

The volume of a rectangular prism is V = l × w × h

Here the length is 14.2, the width is 12.5, and the height is 1

Plugging these into our formula we get V = (14.2)(12.5)(1) = 177.5 cm³

Since there are 17 CD cases stacked on top of each other, we will multiply our number by 17 which gives us (177.5)(17) = 3017.5 cm³

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial. What is the result of applying the square root property of equality to this equation?

Answers

Answer:

The result is

x + b/2a= ±√[(b² - 4ac)/2a]

Step-by-step explanation:

In the derivation of the quadratic formula by completing the square, the equation is created by forming a perfect square trinomial

ax² + bx + c = 0

x² + (b/a)x + c/a = 0

x² + 2(b/2a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

(x + b/2a)² = b²/4a² - c/a

(x + b/2a)² = (b² - 4ac)/2a

Apply square roots to both sides

x + b/2a= ±√[(b² - 4ac)/2a]

it can also be explained as B on edg :)

There are 15 dogs, 22 cats, and 4 rabbits at a shelter. Each dog needs a collar, bowl, and toy. Each cat needs a collar, bowl and 2 toys. Each rabbit needs a bowl. How many total toys will the shelter need?

Answers

Answer:

137 toys

Step-by-step explanation:

You take the number of dogs = 15

and how many things each dog needs = a collar, bowl, and toy

and you multiply 15 by three to get the number of collars, bowls, and toys each dog needs. Then repeat this process and add all of your answers

Dog = 60

Cat = 88

Rabbit = 4

88 + 60 + 4 = 137

(If the collar, and bowls don't count as toys then just message me and I will redo the math for you.)

What is 1/4 written as a precent

Answers

So the right answer is 25%.

Look at the attached picture

Hope it will help you..

Good luck on your assignment

~pragya

Answer:

25%

Step-by-step explanation:

1/4

Multiply the numerator and denominator by 25

25/100

Write as a division expression

25 ÷ 100

Divide

0.25

Multiply the decimal by 100 to get a percentage

0.25 * 100

25%

Hope this helps :)

Dan buys a car for £900.
It depreciates at a rate of 1.2% per year.
How much will it be worth in 4 years?
Give your answer to the nearest penny where appropriate.

Answers

Since the car value is worth £900 and it depreciates at a rate of 1.2%, you need multiply the value by 0.012 (1.2% in decimal form) and subtract it by the value of each preceding year.

$857.58 is the price of car after 4 years.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given,

Dan buys a car for £900.

It depreciates at a rate of 1.2% per year

We need to find the cost of car after 4 years.

1.2/100=0.012

Now multiply 0.012 with 900

10.8

So for first year it will be 900-10.8=889.2

0.012×889.2

10.67

For second year 889.2-10.67=878.53

0.012×878.53=10.54

For third year 878.53-10.54=867.99

0.012×867.99=10.41

For fourth year 867.99-10.41=857.58

Hence, after 4 years the price of car will be 857.58.

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What is the measure of the missing angle?

Answers

Answer:

answer is 60

Step-by-step explanation:

because if the angle is 60 degrees anywhere in the triangle means its an equilateral triangle making all the angles 60 degrees

Answer:

60 degrees

Step-by-step explanation:

Every Triangle has an angle of 180 degrees

so if we add all of the written angles which is 25 + 35 + 60 = 120

we take 180 degrees and subtract it with the previous answer (120)

180 - 120 = 60

Therefore it is 60 degrees

Sam paid 75 for 15hamburgers what is the unit price of one hamburger

Answers

The cost of one hamburger is 5

look at the attached picture

Hope it will help you

Good luck on your assignment

。☆✼★ ━━━━━━━━━━━━━━  ☾  

15 burgers = 75

Divide by 15 to get the price of 1

1 burger = 5

Have A Nice Day ❤    

Stay Brainly! ヅ    

- Ally ✧    

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Find the surface area of the cone with a diameter of 12 centimeters and a slant height of
85 millimeters.
Please answer due in 20 minutes

Answers

Answer:

lateral surface area is 160.14 square cm.

Total surface area is 273.16  square cm  

Step-by-step explanation:

Lateral surface area of cone is given by [tex]\pi rl[/tex]

where r is radius of cone

and l is slant height of cone.

l = 85 millimetres

we know that 10 millimetres is equal to 1 cm

Thus 85 millimetres is equal to 8.5 cm

Thus slant height(l) in cm is 8.5[tex]\pi rl\\=>\pi 6*8.5\\=> 3.14*51\\=>160.14[/tex]

we will use value of [tex]\pi[/tex] as 3.14

Diameter of cone = 12 cm

we know that radius is equal to half of Diameter

radius of given cone = 1/2 *Diameter = 1/2 * 12 = 6 cm.

Thus lateral surface area of cone is given by

[tex]\pi rl\\=>3.14*6*8.5\\=>153[/tex]

Thus, lateral surface area is 160.14 square cm.

Area of base of cone will be area of circular base

area of circle is given by [tex]\pi r^2[/tex]

Thus area of base is given below

[tex]\pi r^2\\=>3.14*6^2\\=>113.04[/tex]

area of base is 113.04 square cm

Total surface area of cone is sum of area of base and lateral surface area

Total surface area = 160.14+113.04 = 273.16  square cm.

what is the value of x

Answers

Answer:

73

Step-by-step explanation:

2x+x+53+88=360

Add up the numbers together.

3x+141=360

Subtract 141 from 360

3x=219

Divide 219 by 3

x=73

The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes?

Answers

Complete question:

The park closes at 2:30 P.M. There is a 15−minute break between each game played at the park, and each game takes the same amount of time as Hamid's soccer game. How many more games can be played before the park closes? Hamid's soccer game time is 7:00 to 9:15

Answer:

2 more games can be played before the park closes.

Step-by-step explanation:

Given that Hamid's soccer game time is from 7:00 to 9:15 and there's a 15 minute break between games played, the next game time would be: 9:15 + 15 = 9:30

The time for each game would be calculated as:

stop time - start time = 9:15 - 7:00 = 2:15.

Thus, each game time = 2hrs 15mins

The next game time would be:

9:30 + 2:15 = 11:45

This means the next game would be from 9:30 to 11:45

After this, there would be another game(a second extra game) since the park closes at 2:30PM.

Therefore, the next game time would be:

11:45 + 15 mins break = 12:00

The game duration =

12:00 + 2hrs 15 mins = 14:15 or 2:15PM

Considering the fact that the park closes by 2:30 PM, 2 more games will be played.

NEED YOUR HELP ASAP!!!!

Answers

Answer:

1 thing that would be true is that one green triangle weighs the same as three blue squares. One thing that cannot possibly be true is that a green triangle weighs the same as a blue square.

Step-by-step explanation:

The function f(x) = 3(1.7)x gives the length (in inches) of an image after being enlarged by 10% x times. What is the length of the image after it has been enlarged 4 times? Round your answer to the nearest hundredth.

Answers

Answer:

A = a + b2h = 9 + 42 · 10 = 65

Step-by-step explanation:

PLEASE HELP ME!!
Read this passage from Part 1 of “The Purloined Letter.”

“And what, after all, is the matter on hand?” I asked.

“Why, I will tell you,” replied the Prefect, as he gave a long, steady, and contemplative puff, and settled himself in his chair. “I will tell you in a few words; but, before I begin, let me caution you that this is an affair demanding the greatest secrecy, and that I should most probably lose the position I now hold, were it known that I confided it to any one.

“Proceed,” said I.

What is the most likely reason Poe uses a slow pace in this part of the scene?

The Purloined Letter, Part 1

to provide foreshadowing of the story (not correct, i tried)

to reduce the tension in the story

to summarize the story that is about to be told

to increase suspense about the story to come

Answers

Answer:

To increase suspense

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

To increase suspense about the story to come

I just took the test and got it right. Hope this helps!! :)

Let X and Y be the following sets X={5,6,10,12,15,18} Y={6,10,12,15} which of the following is the set XUY

Answers

Answer:

{5,6,10,12,15,18}

Step-by-step explanation:

X={5,6,10,12,15,18}

Y={6,10,12,15}

XUY={5,6,10,12,15,18}

You don't need to put a number more than once.

NEED HELP ASAP - 35 Pts. + BRAINLIEST for the best answer!!! (Please show your work)

Question:
The smallest insects that a bat can detect are approximately the size of one wavelength of the sound the bat makes (sonar). What is the minimum frequency of sound waves required for the bat to detect an insect that is 0.60 cm long? (Assume the speed of sound is 340 m/s.)

Answers

Answer:

a.

f

580

k

H

z

b.

T

=

1.7

10

6

s

Explanation:

a. The formula that relates frequency and wavelength is

f

=

v

λ

where f is frequency, v is the velocity of propagation (velocity of sound in this case), and

λ

is the wavelength.

To detect this fly,

λ

needs to be

5.7

10

4

m

, (or shorter). Using

331

m

s

for the speed of sound,

f

=

331

m

s

5.7

10

4

m

=

58.07

10

4

s

1

580

k

H

z

b. Period,

T

, is the reciprocal of frequency.

T

=

1

f

=

1

58.07

10

4

s

1

=

0.0172

10

4

s

1.7

10

6

s

I hope this helps,

Step-by-step explanation:

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Is 54.5% a passing grade? Which is the measure of the reference angle for 227?a. 35b. 23c. 47d. 43 Arizona Corp. acquired the business Data Systems for $305,000 cash and assumed all liabilities at the date of purchase. Datas books showed tangible assets of $310,000, liabilities of $16,000, and stockholders equity of $294,000. An appraiser assessed the fair market value of the tangible assets at $295,000 at the date of acquisition.Required:a. Compute the amount of goodwill acquired.b. Record the acquisition in a financial statements model. What is the surface composition of Uranus? The region known as Mesopotamian includes which two major rivers? Are the ratios of free throws made to free throws attempted by the rockets and by the turbos equivalent? What did Marquis de Condorcet do with math for the first time? The Florida Everglades is a large, warm wetland with many plants, animals, and microscopic organisms. Which part of the Earth system includes the water in the Everglades?Group of answer choicesa.the atmosphereb.the hydrospherec.the cryosphered.the geosphere How did women benefit from the Civil Rights movement? Consider other forms of protesting, such as marching and rioting. In your opinion, are sit-ins the most effective form of protest? Why or why not?Please give a good reason why this is an effective form of protest, im in a rush. Which is TRUE about the Equal Rights Amendment? *A. It failed because not enough states ratified (passed) it.B. It led to higher wages for working womenC. It created equal opportunities in sportsD. it led to the creation of the NAACP Georgetown Auto Repair Originally paid its mechanics $50 per hour. Now thay there is a new owner, the mechanics make 30% less. How much do the mechanics make per hour now? The sequence f(n) is geometric with a common ratio of 3 and initial term 4. Complete the table and write a closed- form definition. Countries like the U.S., India, Russia, China, Turkey, Brazil, and South Africa, the majority of the countries that drive our global economy have the worst life expectancies. Why do you think this is? a wooden toy block is in the shape of a cylinder. the toy block has a height of 4 inches and a diameter of 3 inches. how much does the toy block weigh if 1 cubic inch of wood weighs 0.55 ounces? round to the nearest tenth. which of the following is not a reason to use the scientific name of an organism, instead of the common name ? A.the scientific name contains useful information, such as the genus name, which tells what other species this organism is related to B.the scientific name is unique to each biological species, while the same common name may be applied to several different species C.the scientific name is easier to remember and is commonly used in conversation D.none of the above Research has shown that background noise interferes withshort-term memory when students read prose,Which of the following statements offers the most relevant evidence tosupport this argument?A. Students could proofread better when people were talking in thesame room,O B. Students who read in silence scored better than those who readwith background noise.C. Students found loud music with lyrics more comforting while theyread,O D. Students didn't find their test scores were significantly lower orhigher when they listened to people talk,SUBMIT brainliest whoevr help out!!!! plzzzzzzz What United nation branch serves as the executive branch? A. the security council B. The trusteeship council C. The executive Council D. The General assembly (Correct answer is A. The security council) Identify each statement as true or false,The Second Great Awakening was known for its exciting revival meetings.African Americans were included equally in revival meetings.Women were never allowed to be preachers in any church.