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:

Part A

71°

Part B

The ladder is been used safely

Step-by-step explanation:

Part A

We solve the above question using Trigonometric function of Cosine

cos x = Adjacent/Hypotenuse

Adjacent = The distance between the house and the bottom of the ladder = 4 feet

Hypotenuse = Length of the ladder = 12 feet

x = Angle

Hence:

cos x = 4/12

cos x = 1/3

x = arc cos (1/3)

x = 70.528779366°

Approximately to the nearest degree

= 71°

Part B

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?

Angle x = 71°

Therefore, the ladder is been used safely


Related Questions

Mark was thinking of a number mark halves the number and gets an answer of 53.2 form an equations with x from the information

Answers

Answer: The number is 106.4

Step-by-step explanation:

Let the number be x

Mar halves the number becomes = x x 1/2  to get 53.2

The equation to solve this problem is  x/ 2 = 53.2

Such that to find x

x/2= 53.2

x =  2 x 53.2= 106.4

The number is 106.4

Find the greatest common factor of 7 and 21.

Answers

Answer: 7

Step-by-step explanation:

Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.

Petra jogs 6 miles in 54 min. Fine the unit rate in minutes per mile

Answers

Answer:

the answer is 9

Step-by-step explanation:

because when you divide 54 by 6 you get 9

Find the solutions
x3 + 7x2 – X – 7 = 0

Answers

Answer:

x=−1 or x=1 or x=−7

Step-by-step explanation:

x3+7x2−x−7=0

Step 1: Factor left side of equation.

(x+1)(x−1)(x+7)=0

Step 2: Set factors equal to 0.

x+1=0 or x−1=0 or x+7=0

x=−1 or x=1 or x=−7

Answer:

x=-7,-1,1

Step-by-step explanation:

Which fractions have a least common denominator of 12? 1 A.2 and 3 2 B. 1 5 and 2 6 1 C. 5 and 9 5 1 D.2 and 3 4​

Answers


The answer is b. 15

Find the mean of the data.
Length (cm) of fish in tank:
7, 2, 1, 4, 5, 2, 3
Round to the nearest tenth.
Mean: [?] cm

Answers

Answer: 3.4cm

Step-by-step explanation:

Total cm = 24

Number of fish = 7

24/7 = 3.4

does 5 ÷ 1/4 equal 1/20 true or false?




Answers

Answer:

Step-by-step explanation:

No false because 5 ÷ 1/4 = 1.25 and 1/20 = 0.05

Answer:

False

Step-by-step explanation:

a sculptor needs to lift a peice of marble its a cuboid with dimentions 1m by 0.6m by 0.3 m, marble has a density of 2.7g/cm cubed

Answers

Answer:

486 kg

Step-by-step explanation:

please help this is due tomorrow

Answers

Answer :

880 (hope this helps)

Step-by-step explanation:

l.w.h.

the length is 10

i geuss the wit is 11

and the hieght is 8

multiple in order.

I need help finding the quotients

Answers

Answer:

24÷-6=-4

-15÷0.3=-50

-4+-20=-24

2/5÷3/4=0.5333

Step-by-step explanation:

Thats all i can get sorry :<

I hope it helps and hope its right

Help ME fast and pls

Answers

Answer:

the first one is 8 and 9

the second one is 13 and 14

Step-by-step explanation:

8^2 is equal to the square root of 64 and 9^2 is equal to the square root of 81.

13^2 is equal to the square root of 169 and 14^2 is equal to the square root of 196.

hope this helps and is correct.

PLZ HELP ME WITH THIS QUESTION!

Answers

Answer:

the answer is C

Step-by-step explanation:

please mark brainlist

Answer:

D.-26

Step-by-step explanation:

-26+12=-14 Hope this helps :)

An equilateral triangle has a perimeter of 42. What is it's height?

Answers

Answer:

Given that: The perimeter of the equilateral triangle is 42 inches. Side of the triangle=Perimeter/3=42/3=14 inches. The height of the triangle is 12 inches

Step-by-step explanation:

12 inches hope it helps

That person that answered your question is right


If y = 6, then what is the value of 9 x y?
O 15
O 25
0 44
O 54

Answers

Answer: 54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

9x6 = 54

PLEASE HELP
Is this graph proportional or non
Group of answer choices
Proportional
non-proportional

Answers

You have to provide a picture so we can answer your question

Answer:

I dont see a picture-

Step-by-step explanation:

2) Ellis thinks of a number.
He multiplies it by 4 and then subtracts 10
The result is 14
What number did Ellis think of?

Answers

Answer:

6

Step-by-step explanation:

6*4-10=14

Please guys this is easy, I need help ASAP! (Giving brainliest)!

Answers

Answer:

4a. 13

4b. -4

Step-by-step explanation:

2x-6/5 = 4 (Muti each side by 5)

2x-6 = 20

2x = 26 (Divide each side by 2)

x = 13

7- 2x/4 = 9

-2x/4 = 2 (Muti each side by 4)

-2x = 8 (Divide each side by -2)

x = -4

Pls answer b and c for my brother

Answers

Answer:

B and C

Step-by-step explanation:

Answer:

this was hard

Step-by-step explanation:

1b. 7 1/2

2b. 9 3/4

3b. 6 1/2

4b. 2 2/3

5b. 3 1/3

6b. 9 3/4

7b. 8 6/7

8b. 5 2/3

9b. 3 3/5

10b. 28

1c. 8 4/5

2c. 8 2/3

3c. 5 2/3

4c. 2 1/3

5c. 5 1/2

6c. 2 3/7

7c. 7 4/5

8c. 8 1/2

9c. 2 3/4

10c. 122

What are the zeros of this function?

Answers

Answer:

4 and 6

Step-by-step explanation:

These are the points in which y=0

John went to a friend’s house to spend his free time in an evening. Which unit of measure should be used to find the distance between the two houses?
A. milliliters
B. tons
C. kilograms
D. miles

Answers

Answer:

miles

Step-by-step explanation:

Answer:

I think Its D.

Step-by-step explanation:

Its not A because milliliters measures with graduated cylinder and stuff like that.

It's not B because tons is capacity.

Finally, it's not C because kilograms measures weight as well, so that will leave you with the answer D- Miles.

Have a Nice Day!!!!!!!!!!

4x+4y=-12
2x+4y=6
I am studying math and I i don’t know how to answer this question

Answers

Answer:

X = -y -3

X= -2y + 3   (if correct, please mark brainliest. :))

Step-by-step explanation:

1 5/18 + 1 5/18 + 17/18 + 17/18

Answers

Answer:

4.444

Step-by-step explanation:

mark me brainliest plz

After learning how to fly, Wendy reduced her daily commute time by
75
%
75%75, percent. Previously, her commute took
m
mm minutes.

Answers

Answer:

3/4m

Step-by-step explanation:

help me please , I appreciate it :))

Answers

the answer is 10x + 40
it would be 10x+40 because 5x2 = 10 and 8x5 = 40 so 10x+40

The vertex of this parabola is at (3,5). When the value is 6, the x value is -1.
What is the coefficient of the squared term in the parabola's equation?
(3,5)
10
10
10

Answers

Answer: B -4

Step-by-step explanation:

Value of coefficient of the squared term in the parabola's equation = -4

Correct option is B.

What is parabola?

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

Given,

Vertex of parabola (h,k) = (3, 5)

y = 6 for x = -1

Parabola opens horizontally left side

Vertex-form equation of parabola

x = a(y - k)² + h

-1 = a(6 - 5)² + 3

-1 = a(1) 3

a = -4

Hence, -4 is value of coefficient of the squared term in the parabola's equation.

Learn more about parabola here:

https://brainly.com/question/21685473

#SPJ7

An online shopping club has 13000 members when it charges ​$7 per month for membership. For each ​$ monthly increase in membership​ fee, the club loses approximately 500 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.

Hint: Monthly revenue​ = # members•monthly fee

Just a answer with work will do, ill brainliest the best one.

Answers

Answer:

The function is: [tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]

Step-by-step explanation:

Total members=13000

Membership charge per month=$7

Increase in Membership charge per month=$1

For each $1 monthly increase in membership fee, the club loses approximately=500 members

For 1 month, 1 dollar decrease is 500 × 1

For x months, the decrease in the members is 500 × [tex]x[/tex] =[tex]500x[/tex]

The increase in membership fee is 7 + [tex]x[/tex]

After that,

Monthly revenue = Number of members × Monthly fee

Monthly revenue = [tex](13000-500x)[/tex] × [tex](7 + x)[/tex]

[tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]

Hope this helps and have a nice day!

75 POINTS!!!

An event organizer found that 70% of young couples prefer to have indoor weddings instead of outdoor weddings. You want to survey three randomly chosen couples and use the results to find the estimated probability that all three couples prefer indoor weddings.
This scenario can be simulated by generating a set of three numbers using a number generator with numbers
. The numbers
would represent couples who prefer indoor weddings. If all three numbers in the set are in the range
, it would mean that all three couples prefer indoor weddings.

Answers

Answer:

1. 0-9

2. 0-6

3. 0-6

Step-by-step explanation:

This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.

(ik you might not need this anymore, but I'm hoping it proves useful to others)

All three numbers in the set are in the range it would mean that all three couples prefer indoor weddings is  0-9, 0-6 and 0-6.

We have given that,

An event organizer found that 70% of young couples prefer to have indoor weddings instead of outdoor weddings.

What is the range?

The Range is the difference between the lowest and highest values.

This scenario can be simulated by generating a set of three numbers using a number generator with numbers 0-9. The numbers 0-6 would represent couples who prefer indoor weddings. If all three numbers in the set are in the range 0-6, it would mean that all three couples prefer indoor weddings.

To learn more about the range visit:

https://brainly.com/question/2264373

#SPJ2

Mark had three bags of
jelly beans. If he ate 1/5 of a
bag each day, how long
would his jelly bean supply
last?
Plane

Answers

Answer:

Marks stash of jelly beans would last him 15 days.

Step-by-step explanation:

if you do 3 divided by 1/5 you would get 15.

NEED HELP WILL GIVE BRAINLIEST!

Answers

Answer: a=60

Step-by-step explanation:

The answer is 60 I hope this helps you




A child tosses a baseball up into the air. On its way down, it gets caught in a tree for several seconds before falling down to the ground.

Sketch a graph that represents the height of the ball, as a function of time.

Be sure to include a label and a scale for each axis.
PLEASE HELP MEEE!!!!

this is due today at 12 help!!
(image included)

Answers

Answer:

most likely asking for something like this

Step-by-step explanation:

Answer:

Read the step-by-step for the entire answer!!!

Step-by-step explanation:

Whenever you have situations like these you have to look at it from the perspective given.

If you are throwing a ball it's going to start at ground 0 where the child is, therefore the height of the child is how high off the ground the ball is at 0 seconds.

If it is thrown, and it is stuck in the tree for a few seconds, then that means on the graph you will see an incline of the graph, and then a stale line for a few seconds as the ball is stuck in the same height for a few seconds.

After the ball falls down, then so will the height of the ball.

t - a function of time, is always on the x-axis because time variables are usually on the x-axis of a graph.

I choose seconds as a measurement of time because in a realistic situation a ball will be in the air for seconds.

h - the height of the ball, will be on the y-axis of the graph because it is a dependent variable (i.e. the height of the ball is dependent on how long the ball is in the air for).      

The image below is the graph.  

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