a ladder leans against the sufe of a house. the angle of elevation of the ladder is 70 degrees when the bottom of the ladder is 12 ft from the side of the house. find the length of the ladder. round your answer to the nearest tenth.

Answers

Answer 1

Answer:

≈ 35.1 ft

Step-by-step explanation:

The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°

Using the cosine ratio, with l being the length of the ladder.

cos70° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{l}[/tex] ( multiply both sides by l )

l × cos70° = 12 ( divide both sides by cos70° )

l = [tex]\frac{12}{cos70}[/tex] ≈ 35.1 ( to the nearest tenth )

The ladder is approx 35.1 ft long


Related Questions

đa thức p (x) = 2x ^ 3 - 3x ^ 2 + qx +56 có nhân tử là x-2 a) chứng tỏ q = -30? b) thừa số p (x) hoàn toàn và do đó xác định tất cả các nghiệm của p (x) = 0

Answers

ahiaiaoaoaoaooosoohjfjfjdkd

pls help me..... the question is in the attachment.... thank you


Answers

Answer:

I added some attachments as well, I hoped I helped.

Statement #1: A plane is a flat two-dimensional surface that continues in every direction, to infinity. Statement #2: You can name a plane with one letter that is not a point on the plane. Statement #3: You can name a plane with 3 non-collinear points that lie on the plane. Which of these statements are TRUE? Only statement #1 is true Only statements #1 & #2 are true Only statements #1 & #3 are true All 3 statements are true

Answers

Answer:

C. Only statements #1 & #3 are true.

Step-by-step explanation:

A plane is made up of various number of points or line that extend till infinity on a flat surface. It can be named by with 3 non-collinear points that lie on the plane or by a letter in the plane (e.g plane A).

All plane shape are derived by their required dimensions in a plane. So that they can all be expressed on a flat surface i.e in 2 dimensions only.

Thus from the given question, the appropriate option that are statements that defines a plane accurately is C. i.e only statements #1 & #3 are true.

Use the picture above to determine why the work below received a 2/3. (hint: there are 2 mistakes)

V = TTr2h

V = TT(32)10

V = TT(6)(10)



V = 60TT square feet

Answers

Answer:

3^2 is not 6, it is 9 so that would have made your final answer wrong. It was supposed to be 90 not 60

pls no time help me fast no links ill report u and no brainlist

Answers

Answer:

Step-by-step explanation:

Line segment          Point         Point         Distance    Proof

AB                           A(-3 , 4)      B(2,4)          5                2 - (-3) = 2 +3 = 5

BC                          B(2,4)          C(5,4)          3                 5 - 2 = 3

CD                          C(5,4)          D(5,-1)          5              4 -(-1) = 4 +1 = 5

DE                           D(5 , -1)       E(5,-3)          2             -1 -(-3) = -1 +3 = 2

EF                           E(5, -3)        F(-5,-3)         10            5 - (-5) = 5+5 = 10

Có bao nhiêu giá trị nguyên của tham số m để phương trình 4^x +4^-x = 2^ (x+1) – 2^(1-x) +4-m có nghiệm trên đoạn [0;1]

Answers

Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

X=57.

Step-by-step explanation:

Every triangle equals 180 degrees. First you add 33 and 90 (the little box in the corner is equal to 90 degrees) which gets you to 123, then subtract from 180 (since every triangle is equal to 180), then you get 57.

Betty and Billy are selling cookies at the school bake sale. Billy sold twice as many cookies as Betty. Together, they sold 15 cookies at the bake sale. Could Betty have sold 3 cookies

Answers

No Betty would have sold at least 5 cookies.

We know that 2/3 of 15 is 10 and that 5 also happens to be half of this number.

It adds up to 15 all while the number of cookies sold by Billy is still twice a much as the cookies sold by Betty. Therefore Betty would have had to sell at least 5 cookies.

draw a graph for the equation above

Answers

Answer:

look at image given

Step-by-step explanation:

im assuming the -3 is seperate :p

Mhanifa or Anyone answer this

Answers

Answer:

$8.99

Step-by-step explanation:

14.38 ÷ 2 = 7.19

7.19 + 1.8 = 8.99

Hope this helps

This is the answer for the question and working

hhhhhhhhhhhhhhhhhhhhhhh​

Answers

Answer:

for the triangle on top on side is 8 one side is 4 so if we use the theorem

64+16=80

a=9

so

Side a = 19.8242

Side b = 17.66349

Side c = 9

Angle ∠A = 90° = 1.5708 rad = π/2

Angle ∠B = 63° = 1.09956 rad = 7/20π

Angle ∠C = 27° = 0.47124 rad = 3/20π

Area = 79.48573

Perimeter p = 46.4877

Semiperimeter s = 23.24385

Classify the following angles

Answers

--Answer--

1. acute

2. right

3. acute

4. obtuse

5. straight

--Explanation--

Acute angle = Greater than 0 °, Less than 90°

Right angle = 90°

Obtuse angle  = Greater than 90°, less than 180°

Straight angle = 180°

Answer:

A) Acute   B) Right     C) Obtuse      D) Obtuse      E) Flat/Straight

Step-by-step explanation:

Acute angles are angles less than 90°

Right angles are angles that are 90°

Obtuse angles are angles that are over than 90°

Flat/Straight angles are 180°

Will your career more important than anything else

Answers

well, sometimes, it will. You know, cause nowadays everything in this world, even the people, will judge you based on how you doing on your life. Or maybe some people will only care about you because of your occupation and what do you have. But, for me, what is the meaning of life if you didn’t experience any happiness, love, or anything in your life? For example, it is your career more important than your family? Is it important than your happiness in your life? So, for me, career is not so important. I mean, yes with it you can earn money. But sometimes, money can’t bring happiness to us.
Honestly, it depends on what you most value in life, wether it be your career, love life, family, etc.

Since I’m nice I’ll give 2 lucky people some points!!!

Answers

Answer:

hi

Step-by-step explanation:

thank u

Answer:

is that allowed or not......

Multiply the polynomials.
(x + 2)(2x2 + 9x+8)
A. 2x3 + 13x2 – 26x+ 16
B. 16x3 + 72x2 + 46x - 16
C. 2x3 + 17x + 22x+16
D. 2x3 + 13x2 + 26x+ 16

Answers

Answer:

2x^3 + 13x^2 + 26x + 16

Step-by-step explanation:

x(2x^2 + 9x + 8) +2(2x^2 + 9x + 8)

2x^3 + 9x^2 + 8x + 4x^2 + 18x + 16

2x^3 + 13x^2 + 26x + 16

HOPE IT'S HELPFUL
The answer should be A, no parentheses just multiply within the numbers

5 out of every 11 children in a school are girls. What is the ratio of girls to boys in the school?

Answers

5:6 is the answer and that still isn’t enough words maybe if I type what I am saying it will be 20 characters

Question in attachment. Will give brainliest if correct.

Answers

Answer:

x= 50

Step-by-step explanation:

The angles of a triangle adds up to 180

First we can see R, S, O is equal to S, R, O

We can also see that the angles are equal to N, O, S

So R, S, O and S, R, O are both 65 degrees

Add 65 + 65

= 130

180 - 130 = 50

x= 50

can I please can some help on this question ​

Answers

Answer: The answer be 87 for both answer's

Step-by-step explanation:

because, {B-3=90} and, 0.< a < 90. and I calculated and got 87 for both questions ( I hope it correct!)

What is the value of x? Round your answer to the nearest Whole number
X
A 10
C 17
B 1
D 13

Answers

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 9² = 15²

x² + 81 = 225 ( subtract 81 from both sides )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12 → B

what’s the difference between the area of the larger circle and the area of the smaller circle? in pi

Answers

Answer:

105 pi m^2

Step-by-step explanation:

radius squared - radius squared =

(16+3)^2 - 16^2 =

19^2 - 16^2 =

361-256= 105

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE

Answers

Complete Question:

A circle is shown. Chords A C and B D intersect at point E. The length of A E is x, the length of E C is x + 12, the length of B E is x + 2, and the length of E D is x + 5. BE is 2 units longer than AE, DE is 5 units longer than AE, and CE is 12 units longer than AE. What is BD?

*The circle is attached below in the attachment

Answer:

BD = 11

Step-by-step explanation:

Given:

AE = x

EC = x + 12

BE = x + 2

ED = x + 5

Required:

Length of BD

Solution:

First, create an equation to find the value of (x + 2)(x + 5) = (x)(x + 12) => intersecting chords theorem

x(x + 5) + 2(x + 5) = x(x + 12)

x² + 5x + 2x + 10 = x² + 12x

Add like terms

x² + 7x + 10 = x² + 12x

Subtract x² from each side

x² + 7x + 10 - x² = x² + 12x - x²

7x + 10 = 12x

10 = 12x - 7x

10 = 5x

10/5 = 5x/5

2 = x

x = 2

Next, find BD:

BD = BE + ED

BD = x + 2 + x + 5

Add like terms

BD = 2x + 7

Plug in the value of x

BD = 2(2) + 7

BD = 4 + 7

BD = 11

Answer:

What is BD?

11  units

Step-by-step explanation:

WORKING TOGETHER,MARIO AND MALF CAN PAINT A WALL IN 4 HOURS. WORKING ALONE, MARIO CAN DO THE SAME JOB IN 12 HOURS. HOW LONG IT WILL TAKE MALF TO DO THE JOB ALONE​

Answers

Answer:

it take 6 hours to do the job its the answer

Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 72 and 5, respectively, and the distribution of scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 68. Compute the trainee's z-score.

Answers

Answer:

-0.8

Step-by-step explanation:

Given that :

Mean of test score, m = 72

Standard deviation of test score, σ = 5

Trainee's score, x = 68

Since the distribution is Symmetric ;

The Zscore Cann be calculated thus :

Zscore = (x - mean) / standard deviation

Zscore = (68 - 72) / 5

Zscore = - 4 / 5

Zscore = - 0.8

La fórmula correcta para encontrar el valor del coseno de un ángulo agudo en un triángulo rectángulo dado es:

Answers

Answer:

El coseno del ángulo esta dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Step-by-step explanation:

Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Donde:

CA es el cateto adyacenteH es la hipotenusa del triángulo

Espero te haya sido de ayuda!

9. Here are two expressions with a missing number: Expression 1: • Expression 2: + 4 Choose the same number to put in both blanks, so that both expressions would result in an irrational answer. You can choose your number from the following list: 3.2, , , and 0.232323... Explain your reasoning. (4 points: 2 points for the answer and 2 points for the explanation)​

Answers

Use sr(3)

All the other options are rational 32/10, 2/3, 23/99
If you multiply two fractions you always get a fraction.
If you add 4 to a fraction it is still rational.

help with this please?....:)

Answers

Answer:

200. 96 cm^2

Step-by-step explanation:

If the area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]\pi[/tex] = 3.14,

radius = 8 cm (r = diameter/2   ----> r = 16/2)

= [tex]\pi[/tex][tex]r^{2}[/tex]

[tex]= 3.14 (8^{2})\\= 200. 96 cm^{2}[/tex]

Simon and sherry went blueberry simon picked 18.5 pounds and sherry picked 21.84 pounds

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling. A car travelling at a speed of 70 km/h requires a distance of 40 m to make a stop. What distance is required to stop a car travelling at 80 km/h?

Answers

Answer:

52.24 km

Step-by-step explanation:

Given that,

The distance needed to stop a car, d, varies directly as the square of the speed, s, at which it is travelling.

d = ks²

Where

k is constant

When s₁ = 70 km/hr, d₁ = 40 m, s₂ = 80 km/hr, d₂ = ?

So,

[tex]\dfrac{d_1}{d_2}=\dfrac{s_1^2}{s_2^2}\\\\d_2=\dfrac{d_1s_2^2}{s_1^2}\\\\d_2=\dfrac{40\times 80^2}{70^2}\\\\d_2=52.24\ km[/tex]

So, the new distance is 52.24 km.

Which of the following rational functions is graphed below?
O A. F(X) =
x) =
B. F(x)
1
C. F(x)
(x - 3)2

Answers

Answer:

a

Step-by-step explanation:

3(2x+4)=2 when 0 is on horizontal

The equation of the graph of the function is f ( x ) = 1/( x - 3 )²

What is Equation of Graph of Polynomials?

Graphs behave differently at various x-intercepts. Sometimes the graph will cross over the x-axis at an intercept. Other times the graph will touch the x-axis and bounce off.

Identify the even and odd multiplicities of the polynomial functions' zeros.

Using end behavior, turning points, intercepts, and the Intermediate Value Theorem, plot the graph of a polynomial function.

The graphs cross or are tangent to the x-axis at these x-values for zeros with even multiplicities. The graphs cross or intersect the x-axis at these x-values for zeros with odd multiplicities

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/( x - 3 )²

The y-intercept of the function is at when x = 0

So , when x = 0

y = 1/9

Hence , the function is f ( x ) = 1/( x - 3 )² and the graph is plotted

To learn more about graph of polynomials click :

https://brainly.com/question/16957172

#SPJ7

What is the slope of a line that is perpendicular to the line y = –1/4 x + 5

Answers

Answer:

4

Step-by-step explanation:

To find the slope of a line that is perpendicular to another line simply flip the slope ( so if it is 1/3 flip it to 3 or if it's 3 flip it to 1/3) and change the sign ( so if it's positive change it to negative vise versa )

The equation we are given has a slope of -1/4

So flip the fraction ( we would get -4)

And change the sign ( we would get 4)

So the slope of a line that is perpendicular to y = -1/4x + 5 is 4

Answer:

slope = 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{4}[/tex] x + 5 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{4} }[/tex] = 4

Other Questions
Acme Fastener and Tool is having major problems with demand management. The VP of Sales is very focused on increasing productivity according to forecasts, but the operations manager routinely presents obstacles to increasing production above current levels. Of the following, which problem is the firm experiencing?a. Functional silos.b. Lack of attention on operational planning.c. Overemphasis on forecasting.d. Focus on tactics. The general consensus is that our policymakers do not know what they are doing and are managing our economy ineffectively AnnapurnaPagewrite an essay on "Literature is thereflection of society." swimming for her life summary How can we increase the HDI rank of Nepal? suggest two measures explain two structural adaptation of tissues A for its function Jantee, a Senior Manager at LionShare Inc., is responsible for the strategic planning process in his organization. He is currently implementing a strategy. Which of the following stages of the strategic planning process is Jantee most likely to have completed immediately before the implementation stage? A) Stating the organizational mission B) Conducting a SWOT analysis C) Establishing goals and objectives D) Formulating supporting functional strategies [tex]\sqrt{x} 4[/tex] carbon dioxide gas evolve during the fermentation of sugar which was collected at 22.5C and 0.945 ATM after perfect strangers in the volume was found to be 25.0 ML how many grams of carbon dioxide were collected who is the father of music Help meIs not an exam is a activity someone sigeeeeeeeeeeeeeeShe turned in _____ keys to the lost and found.someonessomeonessomeonesomeones An infographic displays the relative frequencies of the 100 most common emojis used in text messaging for each of the last 12 months. Which of the following conclusions cannot be drawn from such a representation of emoji usage?a. You can determine the growth or decline in popularity of a particular emoji.b. You can determine what percentage of text messages contains a particular emoji.c. You can determine how long the most popular emoji has held the #1 position.d. You can determine the average age of emoji users based on emoji use. First Amendment civil liberties related to a free press can be limited when apublication's words are:A. critical of the government.B. biased toward one group.C. meant to influence young people.D. a danger to public safety. Mr Li is four times as old as his son. In five years time, the sum of their ages will be 60 years. How old are they now? Which describes a way in which phosphorus may enter into the phosphorus cycle?Earthquakes release phosphorus.Phosphorus is carried in the rain that was evaporated from lakes.Human use of fertilizers release phosphorus into the groundwater.Phosphorus is transpired from the leaves of plants. Help me pls quick with the right answer In tennis, Gabby serves an ace, a ball that can't be returned, 7 out of the 10 times she serves. What is the experimental probability that Gabby will serve an ace in the first match of the next game? The experimental probability that Gabby will serve an ace in the first match of the next game is . Use the / to write your fraction. If a well-diversified portfolio of stocks has an expected return of 15% when the expected return on the market portfolio is 10%, then:__________a) Treasury bills are offering a 7% yield.b) The portfolio beta is greater than 1.0.c) The portfolio beta equals 1.67.d) The investor's portfolio contains many defensive stocks. PLS HELP LAST THING I NEED FOR MATH THIS SCHOOL YEARANSWER WITH STEP BY STEP SOLOUTION/PROCESS = BRAINLIEST ANSWER AND 5* VOTETROLLS = WILL GET ALL THEIR ANSWERS AND QUESTIONS REPORTEDPART 2, PART 1 ALREADY POSTED CHECK PROFILE