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:

#1.

cos(x) = adjacent/hypotenuse = 4/12 ≈ 0.3333  ⇒ x ≈ 71°

#2

71° is  between 70° and 75°, so the answer is yes, the ladder being used safely.

Step-by-step explanation:

Answer 2

Answer:

71

yes

Step-by-step explanation:

Just did it, have a good day!


Related Questions

Use the distributive property to evaluate the following expression: 9x (4 + 9)

Answers

Answer:

117x.

This is because since the 9 is outside the parenthesis, it applies to everything inside. 9x * 4 =36x and 9x * 9 =81x

36x+81x=117x.

Answer:

117x

Step-by-step explanation:

18 bottles of water cost $9. How much does it cost for one bottle of water? How much bottles can you buy with $6?​

Answers

Answer:

Water cost 2$ you can buy 3 water bottles with 6$

Step-by-step

I did myself

Answer:

one bottle of water is 0.5 dollars. You can buy three bottles of water for $6

Step-by-step explanation:

since 9 divided by 18= 0.5, this is how it goes

18 bottles broken up into sections of one (one bottle in each section)

so you have to break up the dollars into cents to put an equal amount with each bottle. So you get 100 pennies for each dollar. There's only 9 dollars, so you split the pennies (that you broke from the 9 dollars) and put one in each section (each section still has one bottle) so each bottle with get one more penny with every round. The bottles take turns getting pennies. After you do all of them you will get 0.5 dollars for each bottle so that's how much the bottles cost.

The bottles cost 0.5 dollars.

Now we do this with 6 dollars instead of 9. You now know that each bottle cost 0.5 dollars so you have to do this

0.5 x 6 which = 3.

You can buy 3 bottles with $6.

I hope this helps!

10 is 10 times much as​

Answers

Answer:

10 is 10 times as much as 1 because if you were to multiply 1 x 10, you would get 10.

the answer is 1 , cause 10 times 1 is still 10

Bella purchased 4.2 pounds of apples for $7.77. what is the cost of one pound of apples?

Answers

Answer:

Its $1.85 per 1 lb of apples

Step-by-step explanation:

Divide $7.77 by 4.2lb

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⚠️⚠️HURRY⚠️⚠️
⚠️⚠️WILL GIVE 10 BRAINLYY⚠️⚠️

Answers

Answer:

side 'c' is the hypotenuse

side 'c' is the longest

sides 'a' and 'b' are both considered 'legs'

side 'c' is opposite the right angle

Step-by-step explanation:

the hypotenuse is always opposite the right angle

the hypotenuse is always the longest side

Answer:

■ The hypotenuse is c, or in other words, the diagonal.

■ The longest side is c, or in other words, the hypotenuse.

■ The side that is a leg includes both a & b.

■ The side that is opposite the right angle is c, or in other words, the hypotenuse.

!!!!!!!!!!!!pls answer!!!!!!!!!!!(i'm being timed)

Answers

Answer:

an+4n+1

Step-by-step explanation:

Hope it helped

My friend needs help plz answer

Answers

Answer:

Order the data from least to greatest.

Find the median.

Calculate the median of both the lower and upper half of the data.

Ask me if you need more help!

Step-by-step explanation:

Answer:

31.5

Step-by-step explanation:

In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (2 points)

Answers

i think the answer is 56.81 seconds, the best time would just be the shortest time

how do you work

8x= -4x -3x​

Answers

first combine like terms on each side so
8x = -7x
then move -7x
so x=0
x=0. Combine -4x-3x which is -7x. move -7x to the other side and set the equation equal to 0. Combine like terms to get 15x then divide both sides by 15 to get x by itself

Express in the form
n:1
.
Give n as a fully simplified fraction.
8:6

Answers

Answer:

4/3 : 1

Step-by-step explanation:

Here, we want to express 8:6 in the form n:1

All we have to do is to divide both ratio sides by 6

That would be;

8/6 : 6/6

= 4/3:1

40 is what percent of 50?
%
5
%
4
90%
80%

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

50 times .8 aka 80 percent is 40

Please Help Me!
(If you don't know, plz don't answer)



Compare properties of squares and rhombi to properties of other quadrilaterals by answering each question.

(a) Describe a property of squares that is also a property of rectangles.
(b) Describe a property of squares that is NOT necessarily a property of all rectangles.
(c) Describe a property of rhombi that is also a property of squares.
(d) Describe a property of rhombi that is NOT necessarily a property of all parallelograms.
(e) Describe a property that applies to ALL parallelograms.

Answers

Answer:

A. they both have 4 right angles

B. a sqaure has 4 even sides, a rectangle doesnt

c. they both have 4 even sides

d. rhombi has 2 acute and 2 obtuse angles

e. Parallelograms are a quadrilateral where diagonals bisect each other, opposite sides are parallel by definition, opposite sides are congruent and consecutive angles are supplementary.

Select all equations that have graphs with the same y-intercept.

y = 3x - 8
y = 3x - 9
y = 3x + 8
y = 5x - 8
y = 2x - 8
y = (1/3)x - 8

Answers

y=3x-8
y=5x-8
y=2x-8
y=1/3x-8
the y intercept is the b in y=mx+b and all of these have -8 as the y int

The equations that have graphs with the same y-intercept are:

y = 3x - 8y = 5x - 8y = 2x - 8y = (1/3)x - 8

To determine which equations have graphs with the same y-intercept, we need to look for equations that have the same constant term when written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

The y-intercept is the value of y when x is equal to 0. In other words, it is the point where the graph intersects the y-axis.

Let's compare the equations and their constant terms:

y = 3x - 8 (Constant term: -8)

y = 3x - 9 (Constant term: -9)

y = 3x + 8 (Constant term: 8)

y = 5x - 8 (Constant term: -8)

y = 2x - 8 (Constant term: -8)

y = (1/3)x - 8 (Constant term: -8)

From the comparison, we can see that the equations y = 3x - 8, y = 5x - 8, y = 2x - 8, and y = (1/3)x - 8 all have the same constant term of -8. This means that their graphs will have the same y-intercept, which is -8.

Therefore, the equations that have graphs with the same y-intercept are:

y = 3x - 8

y = 5x - 8

y = 2x - 8

y = (1/3)x - 8

Learn more about intercept here:

https://brainly.com/question/14180189

#SPJ2

PLEASE HELP I WILL GIVE BRAINLEIST!!!

7. The two equations have different solution steps. Do they have the same solution?
Use the distributive property to show why this answer makes sense.

Answers

Answer:

Yes, they have the same solution.

Step-by-step explanation:

Both of these equations have the same solution, just different steps.

To solve Ravi's equation, first we use the distributive property.

2(x+14) = 40

Multiply 2 by x and 14

2x + 28 = 40

Subtract 28 from both sides.

2x + 28 - 28 = 40 - 28

2x = 12

Divide by 2 on both sides.

2x/2 = x

12/2 = 6

so x = 6.

Fran's equation is the same equation as Ravi's second step.

Her equation of 2x + 28 = 40 is Ravi's after distributing 2.

Answer:

2(x+14)=40

2(x+14)=40

÷2         ÷2

x+14=20

 -14  -14

x=6

2x+28=40

   -28       -28

2x=12

÷2  ÷2

x=6

I hope this is what you wanted:

What’s the solution for 2x =8

Answers

Answer:

4

Step-by-step explanation:

2x = 8

x = 4

Answer: x=4

Step-by-step explanation:

2x = 8

x = 8/2

x = 4

Check: 2(4)=8

Write 70 cm as a fraction of 4.2 m. Give your answer in its simplest form.

Answers

Answer:

1/6

Step-by-step explanation:

First convert 4.2m to cm

100cm = 1m

x = 4.2m

x = 4.2 * 100

x = 420cm

70cm to 420cm = 70/420

70/420 = 7/42

7/42 = 1/6

Hence 70 cm as a fraction of 4.2 m is 1/6

s + 2.5s + 2.5s - 3.3 =

Answers

Answer: 6s-3.3

Step-by-step explanation:

Answer:

[tex]s=0.55[/tex]

Step-by-step explanation:

[tex]6s=3.3\\s=\frac{3.3}{6}\\s=0.55[/tex]

How to do these math problems, due tomorrow and I need them done asap, really stressed

Answers

PLEASE ATTACH A FILE THERE IS NOTHING TO LOOK AT aabdnsks it wont send akak
Answer:

You forgot to attach an image

Explanation:

I KNOW THIS IS KIND OF ALOT BUT PLEASE HELP
Billy and Tom are out to dinner. Their bill comes to a total of $100. They have a 15% off coupon but tax and tip must also be included. The tax is 6% and is applied before the 20% tip. If Billy and Tom want to split the bill, how much will they each have to pay?

1. How much is their bill after the coupon has been applied?
2. With the coupon applied, what is their new total (including the tax)?
3. With their new total, Billy and Tom can now determine the tip for their server. What is the final total, including the tip?
4. What will Billy and Tom each have to pay to split the bill evenly?

Please answer labeled with numbers! thankyou!

Answers

Answer:

1. $85

2. $90.10

3.$108.12

4.$54.06

Step-by-step explanation:

100-15=85 (15% of 100 is 15)

6 percent of 85 is 5.10. So 85 + 5.10=90.10

20 percent of 90.10 is 18.02. So add that to the total. 90.10+18.02=108.12

Now divide by 2 to get how much they each will pay 108.12/2 = 54.06

Question 2 (1 point)
What is the value of x if AABC is equilateral?

Answers

Answer:

x= 2

Step-by-step explanation:

Given that,

AB = 7.5x

BC = 6x+3

AC = 10x-5

ΔABC is an equilateral triangle.For an equilateral triangle, all sides are equal. ATQ,

AC = BC = AB

10x-5 = 6x+3

Taking like terms together

10x-6x = 5+3

4x = 8

x = 2

Hence, the value of x is equal to 2.

There are 20 consecutive even numbers. How much bigger is the sum of the larger 10 ones than the sum of the smaller ones?

Answers

You can look on the app Socratic to help you.

Answer:

The answer is 200

Step-by-step explanation:

40.42 divided by 4.3 with steps

Answers

Answer:

9.4 is the answer.

Step-by-step explanation:

0:50= How much of each ingredients are needed to make 2 batches of bread? answer format: _____ tablespoons of ________ and ____cups of _____ *

Answers

Answer:

Step-by-step explanation:

2 tablespoons of yeast and four cups of flour

Answer:

A recipe for bread calls for 4 cups of flour, 1 pint of water, 2 tablespoons of yeast, and 1 teaspoon of salt. The diagram below represents 1 batch of bread.

Hello! Please help me with this question. I’ll mark brainly! Thank you :)

Answers

Answer:

[tex]\Huge\boxed{\$ 12.12}[/tex]

Step-by-step explanation:

In order to find how much credit is left after 92 minutes, we need to

1.  Figure out the equation that describes this graph (since we don't know the y-intercept)

2. Find the credit remaining after 92 minutes using the equation formed.

Figuring out the equation of this graph:

First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.

The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.

Since minutes used is the x, and credit left is the y, we have two points.

(41, 19.26) and (68, 15.48).

The change in y is -3.78, as [tex]19.26-15.48=3.87[/tex], and we decreased, so -3.78.The change in x is 27 as [tex]68-41=27[/tex], and we increased.

The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.

Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!

To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.

[tex]19.26 =-0.14 \cdot 41 +b[/tex] [tex]19.26 = -5.74+ b[/tex] [tex]b = 19.26+5.74[/tex] [tex]b = 25[/tex]

Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario

[tex]y = -0.14x+25[/tex]

Solving for 92 minutes

Now that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).

[tex]y = -0.14 \cdot 92 + 25[/tex] [tex]y = -12.88+25[/tex] [tex]y =12.12[/tex]

Therefore, after 92 minutes, the amount of credit left is $12.12

Hope this helped!

If a triangle has 2 sides of 8 and 11 what could the third side be

Answers

Answer:

Any value between 3 and 19 may be the measure of third side.

Step-by-step explanation:

If three sides of a triangle are a, b, and c, possible measures of the sides of a triangle will be.

1). a + b > c

2). b + c > a

3). a + c > b

If a = 8, b = 11,

1). 8 + 11 > c

   c < 19

2). 11 + c > 8

    c > 8 - 11

    c > (-3)

3). 8 + c > 11

    c > 11 - 8

    c > 3

Therefore, by combining the given inequalities,

3 < c < 19

Any value between 3 and 19 may be the measure of third side.

What is the equation of the line in slope-intercept form

Answers

Answer:

y = -3/5x - 2

Colton gave out a survey to some students in his school about their favorite color. 470 of those surveyed said their favorite color was blue. If 94% of the students surveyed said their favorite color was blue, how many students were surveyed in total?

Answers

Answer:

500

Step-by-step explanation:

Convert percent to decimal:

94%=

100

94

=0.94

Move decimal 2 places to the left

Multiplying the decimal by the whole gives us the part:

0.94x=

0.94x=

470

0.94

0.94x = 0.94

470

Divide both sides by 0.94x=

500

Brandon is not smiling. He just left the
dentist's office, and he has 5 cavities! If
it takes the dentist 14 minutes to fill one
cavity, how long will it take to fill all 5 of
Brandon's cavities?

Answers

Answer:

it should take 70 mins to fill all 5

hope this helps!! :)

Step-by-step explanation:

14 x 5 = 70

Answer:

70

Step-by-step explanation:

14 minutes = 1 cavity

x minutes = 5 cavities

70= x

solve the equation and show the work please

Answers

X will be -1, Y is -5

Brainly annie has 2 bags of apples and 5 single apples eva has 1 bag of apples and 11 single apples they have the same amount of apples how many apples so they have in total

Answers

Answer:

34 apples

Step-by-step explanation:

To answer: try setting up each of the equations for Annie and Eva.

Annie: 2(bag) + 5

Eva: 1(bag) + 11

Those two equations equal each other. So set that up:

2(bag) + 5 = 1(bag) + 11

Now solve for the size of the bag.

2(bag) - 1(bag) = 11 - 5

1(bag) = 6 apples

Now substitute 6 back into either equation to determine number of apples.

Annie: 2(6) + 5 = 12+5=17

They each have 17, so there are 34 apples in total.

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