A 12-foot ladder is placed 4 feet away from a house as shown.

A 12 foot ladder is leaning against a house to form angle x. The distance between the house and the bottom of the ladder is 4 feet. The angle between the house and the ground is 90 degrees.

What is the value of x, rounded to the nearest degree?

x ≈
°

According to the manufacturer, if the angle the ladder forms with the ground, x, is between 70° and 75°, then it meets safety standards.

Is this ladder being used safely?

Answers

Answer 1

Answer:

Answer:  x = 71 degrees. Yes, the ladder meets safety standards

Discussion:

The problem describes a right triangle with hypotenuse 12, the side against the ground is 4, and the angle between those two sides is "x".  For this triangle,

cosx = (side adjacent to angle) / hypotenuse

      =  4                                      / 12

      =   1/3

To find "x" take the inverse cosine of each side to find that :

x  is approximately 70.52 degrees. That's 71 degrees rounded to the nearest degree.

Step-by-step explanation:

HOPE THIS HELPED!

-

Answer 2

Answer: x = 71

yes

Step-by-step explanation:


Related Questions

Brian goes to schol 6 hours per day, works 4 hours perday, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?

Answers

6:4:9 is the answer

The ratio of hours Brian works to hours Brian sleeps is 4/9.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Brian goes to school 6 hours per day, works 4 hours per day, and sleeps for 9 hours per day.

So, the ratio of hours Brian works to hours Brian sleeps

= 4/ 9

Hence, the ratio is 4/9.

Learn more about ratio here:

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May you please help me with this question!

Answers

Answer:

9/4x to the power of one plus 12y to the power of one

Step-by-step explanation:

You can add the top numbers for 9, but cant add the bottoms since they are different variables.

Answer:

[tex]\frac{6y+7x}{12xy}[/tex]

Step-by-step explanation:

i hope this helps :)

True or False: A FICO score is named after its creator, Fair Isaac, and Corporation. It
summarizes the probability that a person with debt will repay that debt.

Answers

Answer:

true

Step-by-step explanation:

PLSSS HELP MEEEEEEEEE

Answers

Answer:

Ryan's raft

Step-by-step explanation:

Ryan's raft has greater rate of change

help me guys show your solution and answer the qquestion

Answers

Step-by-step explanation:

Line2

x - y = 3/2x = y + 3/2

Line 3

3x + 2y = 63x = -2y + 6x = -2/3y + 2

Line 4

1/4x + y = 2y = -1/4x + 2

Line 5

4x - 3y = -333y = 4x + 33y = 4/3x + 11

Questions

1. Yes. You need to isolate the variable to find and simplify.2. To solve for x would require to multiply all terms by 4 to get rid of fraction3. It wouldn't be easy because of the fraction. To make it easier would use multiples of 3 for x.

Seven less than three times a number is 14. Find the number.

Answers

Answer:

Steps:

Use the equation 3x-7=14 to find the missing number.

Add 7 to both sides.

3x=21

Divide both sides to isolate x

x=7

Therefore, the correct answer is 7.

You can check by multiplying 7 by three and then subtracting 7 from it and get 14.

Can someone help me! Please

Answers

Answer:

4c - 2

Step-by-step explanation:

Add up all the terms to find the perimeter.

2c + 2(c - 1)

2c + 2c - 2

4c - 2

Therefore, the perimeter is 4c - 2.

Write a rule for the translation of AABC to AA'B'C'

Answers

Answer:

(x-1,y-2)

Step-by-step explanation:

Solve for x and find AB
Solve for y and find BX

Answers

9514 1404 393

Answer:

x = 7; AB = 30y = 5; BX = 25

Step-by-step explanation:

Opposite sides of a parallelogram are the same length.

  AB = CD

  5x -5 = 3x +9

  2x = 14

  x = 7

  AB = 5(7) -5)

  AB = 30

__

The diagonals of a parallelogram are bisected by each other.

  XB = XD

  7y -10 = 5y

  2y = 10

  y = 5

  BX = 7(5) -10

  BX = 25

What's at stake?

Forests are cradles of life—around four-fifths of all land species live in tropical forests. They play a vital role in regulating our climate by absorbing carbon dioxide, and help maintain our soil and water.

Forests directly support around 1.6 billion people—nearly a quarter of the world's population. And we all rely on them for the air we breathe and the countless products they provide.

But over the last half-century, people have destroyed forests at an alarming rate. We've already lost around half of the world's original forests.


The story so far

In the early 1990s, we campaigned to stop the timber industry destroying and degrading the world's forests.

At the time, few businesses believed they were responsible for where their timber came from. Those that did claim to sell products from well-managed forests had no way of proving it.

"Businesses didn't think the environment was their concern," recalls Jean-Paul Jeanrenaud, who led WWF-UK's work on forests at the time.

"We had chief executives slamming the phone down on us. I even had people threaten to punch me."

How things have changed… In September 1991, British DIY chain B&Q committed to working with us to buy only legal, sustainable timber. By the end of that year, 16 large UK companies had committed to sourcing their timber products from well-managed forests.

That was the beginning of our Global Forest & Trade Network. Today, it's a global partnership of some 275 retailers, producers, community groups and other organizations from across the forest industry supply chain. Members are committed to safeguarding the world's forests and the communities, economies and ecosystems that depend on them.

But we needed a way to turn those commitments into reality. So in 1993, we helped form the Forest Stewardship Council (FSC) to certify timber and wood-based products that meet high environmental and social standards.

For a forest to be FSC certified, independent inspectors check that it meets the FSC's strict criteria. All trees that are cut down have to be replaced or allowed to re-grow naturally, and parts of the forest are left untouched. The rights of indigenous people are respected, and local workers are employed on a decent salary. Often, companies support other social services, such as schools and clinics.

Inspectors also check every stage along the supply chain, so you can be sure that any product that bears the FSC logo is good for forests, people and wildlife.


Did you know?

Just 10 years ago, only 300 sq km of forest in Russia was FSC-certified. Today, it's 260,000 sq km—a quarter of its commercial forests.


Facts and stats

1.4 million sq km—area of forest certified by the FSC. That's an area more than twice the size of France
81—number of countries with FSC-certified forests
40 percent—forest area of Europe and North America certified by the FSC
US$73bn—annual sales of forest-based products by members of our Global Forest & Trade Network

What next?

Almost a tenth of forest products traded now meet FSC standards. That's a phenomenal rate of growth—but it means nine-tenths of products are still uncertified.

We believe some areas of forest need to be protected from any commercial logging. But we're supporting responsible forestry alongside protected areas to help conserve the world's most important forests:

In the Congo Basin, the largest area of tropical forest after the Amazon, 45,000 sq km is now FSC certified—and we're working with everyone from heads of state on down to increase this. As well as protecting important habitats for elephants, great apes and many other species, sustainable forestry is improving livelihoods for some of the poorest people on the planet.
In Borneo, we're working to conserve and restore the "Heart of Borneo," a 220,000 sq km area of the island's species-rich rainforest. Responsible forestry is a vital aspect of this: some 20,000 sq km is already FSC certified or in the process of certification. By 2020, we want the entire Heart of Borneo area to be protected or managed sustainably.
In the western Mediterranean, people have sustainably harvested cork for centuries. Cork oak forests provide a haven for rare plants, birds and other wildlife, including the Iberian lynx, the world's most endangered wild cat. We're promoting FSC certification to keep sustainable cork harvesting economically viable and help protect this unique landscape.

What you can do

You can help secure a future for the world's forests, and the people and animals that depend upon them next time you buy a table—or any other wood-based product.

Only buy products with the FSC label—it's the only credible certification scheme.

If you don't see the logo, ask the store or manufacturer why not. Make sure they realize that you as a customer want to know that the products you buy don't destroy forests. This message will swiftly get back to their suppliers.

Answers

Answer:

a type of meat that you can eat

Suzie solves the equation below:
x2 + 4x - 12 = 2
(x - 2)(x + 6) = 2,
by setting x -2 = 0 and x + 6 = 0.
Her solutions are x = 2 and x = -6.
Is Suzie correct? Why or why not?

Answers

Answer:

Suzie's answers are incorrect.

Step-by-step explanation:

x^2+4x-12=2

           +12  +12

x^2+4x=14

(if we put Suzie's answer in for x)-

2^2+4(2)=14

4+8=14

Suzie's first answer is incorrect (4+8=12)

Let's try the next one with Suzie's answer

(-6-2)(-6+6)=2

(-8)(0)=2

This answer is also incorrect. (-8*0=0)

can somebody please answer this ? Will mark brainliest if you hurry

Answers

Answer:

83 calories

Step-by-step explanation:

Answer:

553 calories

Step-by-step explanation:

He will burn 420 for running because 1,080/2.5 = 420. He will burn 133 because 266 times 0.5 equals 133. So a total of 553 when you add the two.

Please tell me how to simplify this

Answers

What the top person said

Melissa just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages.
How many pages did Melissa read each day?
Write your answer as a proper fraction or mixed number.

Answers

Answer:

8 1/2

Step-by-step explanation:

She read 8 1/2 pages each day because if you divide 85 by 10 you will get 8 1/2.

Can someone help me please

Answers

Answer:

I'm gonna go with D

Step-by-step explanation:

If it's wrong meh bad

Step-by-step explanation:

From this figure I think the answer is c

2.) A car rental company is charging a
$50 rental fee and then $0.17 per mile.
.
Write an expression that represents the
total cost of renting a car for a day using
m for number of miles.
If Kane traveled 55 miles, how much
did his trip cost?

Answers

Answer:

y=0.17x+50.   His trip cost $50.85

Step-by-step explanation:

Car survey
In a survey of 2400 people who owned a current type of car, 1440 said they would buy that type of car again.....

Answers

Answer: 60%

Step-by-step explanation:

1440/2400

Divide both numbers by 480

The quotient is now:

3/5

To find the percentage of a fraction of people, you have to multiply the fraction by 100%

3/5 x 100% = 300/5

300/5 = 60%

Answer:

its 20

Step-by-step explanation:

whats the relation ship between these two

Answers

i think it’s c.
:) bddffzz
Im not sure if it’s only me , but the image won’t load for me

but other than that have an amazing day !

Brainliest to right answer

Answers

Answer:

(-8) is the missing value here, so

the coordinates will be (-8,8)

Answer:

-8

Step-by-step explanation:

→ Substitute y = 8 into -4x - y = 24

-4x - 8 = 24

→ Add 8 to both sides to isolate -4x

-4x = 32

→ Divide both sides by -4 to isolate x

x = -8

117 is 0.9% of what number. Would you expect the answer to be a lot less than 117, slightly less than 117, slightly greater than 117, or a lot greater than 117?

Answers

Answer:

13,000. A lot greater as its 99.1% more.

Step-by-step explanation:

calculator shall guide you.

The boys wrestling team scored a total of 36 points. Pins are worth 6 points. Major
decisions are worth 4 points. Write an equation to represent this situation.

Answers

Answer:

6p + 4d = 36

Step-by-step explanation:

If p = number of pins and d = number of major decisions, then the equation is 6p + 4d = 36.

Hope this helps!

Which of the following would be in the solution set to the system of inequalities given below?

(-4,0)
Both (-4,0) and (0,2)
No solution
(0,2)

Answers

Answer:

(-4,0)

Step-by-step explanation:

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(-4,0) is the solution of the set to the system of inequalities

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

The given two inequalities are

y<-3x-6 and 4x-2y<-8

Let us check for (-4, 0)

0<-3(-4)-6

0<6

4x-2y<-8

4(-4)-2(0)<-8

-16<-8

So (-4, 0) is the solution of the inequalities.

Now let us check for (0, 2)

replace y value as 2 and x as 0.

2<-3(0)-6

2<-6

Which is not true.

Hence, (-4,0) is the solution of the set to the system of inequalities.

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Someone help plz!!! I need some help!

Answers

Answer: -24

Explanation:

f(-9) = 3(-9) + 3

f(-9) = -27 + 3

f(9) = -24

Leah spent three times the amount Damean spent on CDs. Damean spent $33.87. How much did Leah spend on CDs?​

Answers

Answer:

$101.61

Step-by-step explanation:

33.87 times 3 = 101.61

Answer:

She spent $101. 61 on CD's

Step-by-step explanation:

You need to multiply 33.87 by three since she spent three times as much.

What is the slope and y intercept of Y= -4x + 2

Answers

Answer:

Slope=-4

Y intercept= 0,2

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Express the recurring decimal 0.56 as a fraction in its simplest form.


Answers

Answer:

0,13

Step-by-step explanation:

the answer of the question is 14/25

Can I get some help thank u sm

Answers

Answer:

11

Step-by-step explanation:

The sum of interior angles is equal to exterior angle

Given the following

Interior angles = 5x + 10 and 58

Exterior angle 11x+2

According to the postulate:

5x + 10 + 58 = 11x + 2

5x + 68 = 11x + 2

Collect like terms

5x -11x = 2 - 68

-6x = -66

x = -66/-6

x = 11

The value of x is 11

Which expression uses the associative property to make it easier to evaluate 14(1/7x2/5)?
A. (14x1/7)2/5
B.7(1/14x2/5)
C.(14x5/2)1/7.
D.14(2/5x1/7)​

Answers

Answer:

A

Step-by-step explanation:

Associative property:

(a+b)+c=a+(b+c)

(a*b)*c=a*(b*c)

Explain ASAP PLEASE!!!!!!

Answers

Answer:

C

Step-by-step explanation:

you can make a right triangle from the center of one base to the edge of that circle, and then up to a point on the circumference of the other base

the bases of the triangle would be 2 and 5

so that gives sqrrt 29

Evaluate the expression 3.5* when x is 2.

Answers

Answer:

It is 7

Step-by-step explanation:

3.5 times two is seven

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