Aladder Beans against the side of a house. The angle of elevation of the ladder is 69", and the top of the ladder s 13 ft from the ground. Find the length of the ladderRound your answer to the nearest

Answers

Answer 1

The length of the ladder is approximately 5 feet.To find the length of the ladder,

we can use the trigonometric relationship between the angle of elevation and the sides of a right triangle.

Let's denote the length of the ladder as 'L' and the height of the house as 'H'.

We are given:

Angle of elevation = 69 degrees

Height of the house = 13 ft

Using the trigonometric function tangent, we can set up the following equation:

tan(69 degrees) = H / L

To find L, we rearrange the equation:

L = H / tan(69 degrees)

Substituting the given values:

L = 13 ft / tan(69 degrees)

Using a calculator, we can evaluate tan(69 degrees) and find its reciprocal:

L ≈ 13 ft / 2.743144 = 4.739 ft

Rounding to the nearest foot, the length of the ladder is approximately 5 feet.

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Related Questions

Any help would be appreciated

Any help would be appreciated

Answers

Answer:

Let's say the number of sweets that Amol has is A.

According to the problem, the number of sweets that Gemma has is 6 times the number of sweets that Amol has. Therefore, Gemma has 6A sweets.

The number of sweets that Harry has is half the number of sweets that Gemma has. Therefore, Harry has 1/2 * 6A = 3A sweets.

So the ratio of the number of sweets that Amol, Gemma, and Harry have respectively is:

A : 6A : 3A

Simplifying this ratio by dividing each term by A, we get:

1 : 6 : 3

Therefore, the ratio of the number of sweets that Amol has to the number of sweets that Gemma has to the number of sweets that Harry has is 1:6:3

ANOTHER ONE LOL You exercise for ¾ of an hour. You jump rope ⅓ of that time. What portion of the hour do you spend jumping rope?

Answers

Answer: 15 minutes

Step-by-step explanation:

60 / 4 = 15

15 * 3 = 45

45 / 3 = 15

Answer:

Step-by-step explanation:

Time spent on jump rope = 1/3 of 3/4

                                           \(= \dfrac{1}{3}*\dfrac{3}{4}=\dfrac{1}{4} \ hour\) or 15 minutes

Determine the measure of the angles.

Determine the measure of the angles.

Answers

Answer:

E=118

K=50

Step-by-step explanation:

I=E

E=118

K=360-118-118-74 (sum of angles in quad)

K=50

What is the slope of the linear regression prediction equation if a person with 12 years of schooling

Answers

On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.

what is linear regression?

When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.

the e slope of the linear regression prediction equation if a person with 12 years of schooling

a. 1(correct)

b. 12

c. 13

d. 1,500

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The website for company A recieves 8 x 10^6 visitor per year The website for company B receives 4x 10^3 visitors per year

determine how many times more visitors per year the website company A recieves than the company B​

Answers

Company A's website receives 2,000 times more visitors per year than company B's website.

To determine how many times more visitors per year the website company A receives than company B, we need to find the ratio of the number of visitors to each website. The number of visitors to company A's website is 8 x 10^6, and the number of visitors to company B's website is 4 x 10^3.

Hence, the ratio of the number of visitors to the two websites is:

8 x 10^6 / 4 x 10^3

Simplifying this expression, we can cancel out a factor of 4 x 10^3 from both the numerator and the denominator:

8 x 10^6 / 4 x 10^3 = 2 x 10^3

Therefore, company A's website receives 2 x 10^3 times more visitors per year than company B's website. This means that for every visitor that company B's website receives, company A's website receives 2,000 visitors.

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What is the total surface area of a triangular prism.

What is the total surface area of a triangular prism.

Answers

EXPLANATION

3 (hight) × 8 (base) = 24

24 ÷ 2 = 12 (area of triangle)

12 × 2 = 24 (because there are 2 triangles)

5 × 7 = 35 (because length times width)

35 × 2 = 70 (because there are 2 rectangles)

8 × 7 = 56 (because of the base)

ANSWER

24 + 12 + 24 + 35 + 70 + 56 = 221

I really need help with this its past due

I really need help with this its past due

Answers

Sorry but grade math is this so I can have a better understanding

Personalul unei gradinite a cumparat 3 mingi si 4 masinute, pentru care a platit 146 de lei. dupa un timp, s-au mai cumparat la acelas pret 3 mingi si 7 masinute, in valoare de 224 de lei. cat costa o masinuta?dar o minge?

Answers

Answer:

The cost of the car is 26 lei and for ball it is 14 lei respectively

Step-by-step explanation:

The computation of the car and the ball is given below:

Given that

3 balls + 4 cars = 146 lei

3 balls + 7 cars = 224 lei

Based on the above information

3 balls = 146 - 4 cars

3 balls = 224-7 cars

Now

146 -  4cars = 224 - 7 cars

7 cars - 4 cars = 224 - 146

3 cars = 78

1 car = 78: 3 = 26

3 balls = 146 - 4 × 26

3 balls = 146-104

3 balls = 42

a ball = 42: 3 = 14

The cost of the car is 26 lei and for ball it is 14 lei respectively

a question with a single correct answer
data that consists of numbers
a question that can have a variety of answers
:: statistical
III
:: numerical
nonstatistical

a question with a single correct answerdata that consists of numbersa question that can have a variety

Answers

Answer:

a question with a single correct answer: non statistical

data that consists of numbers: numerical

a question that can have a variety of answers: statistical

Step-by-step explanation:

-

The vertices of a rectangle are plotted.
What is the area of the rectangle?

19 square units
38 square units
90 square units
100 square units

The vertices of a rectangle are plotted.What is the area of the rectangle? 19 square units 38 square

Answers

The answer is 90 square units


Leah spent the day at the mall. First she bought four shirts for $10
each. Later, she bought two chandeliers for $60 each. After that she
found a ten dollar bill. Also, she retumed three shirts White the total
change to Leah's funds as an integer

Answers

Answer:

150

Step-by-step explanation:

40+120=160+10=170-30=150

A circle whose center is the origin passes through the point (-5,12). Which point also lies on this circle?

Answers

The distance between the center of the circle and the given point is 13 units.

The distance between the center of the circle (0, 0) and the given point (-5, 12) should be equal to the radius of the circle.

Using the distance formula,

d= √(-5-0)² + (12-0)²

d = √25 + 144

d = √169

d = 13 unit

Therefore, the distance between the center of the circle and the given point is 13 units.

Any point on the circle will have a distance of 13 units from the center.

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a researcher compares the effectiveness of two different instructional methods for teaching physiology. a sample of 169 students using method 1 produces a testing average of 81.7 . a sample of 128 students using method 2 produces a testing average of 72.5 . assume the standard deviation is known to be 5.87 for method 1 and 17.66 for method 2. determine the 95% confidence interval for the true difference between testing averages for students using method 1 and students using method 2. step 1 of 2 : find the critical value that should be used in constructing the confidence interval.

Answers

On average, students using method 1 score between 6.46 and 11.94 points higher than students using method 2.

To find the critical value for constructing the 95% confidence interval, we need to use a t-distribution since the sample sizes are relatively small and the population standard deviations are not known.

The degrees of freedom for the t-distribution can be calculated using the following formula:

df = [(s1^2/n1 + s2^2/n2)^2] / [((s1^2/n1)^2)/(n1-1) + ((s2^2/n2)^2)/(n2-1)]

where s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and df represents the degrees of freedom.

Substituting the given values, we get:

df = [(5.87^2/169 + 17.66^2/128)^2] / [((5.87^2/169)^2)/(169-1) + ((17.66^2/128)^2)/(128-1)]

= 249.00

Using a t-table with 249 degrees of freedom and a 95% confidence level, we find the critical value to be 1.971.

Therefore, to construct the 95% confidence interval for the true difference between testing averages for students using method 1 and students using method 2, we can use the following formula:

CI = (x1 - x2) ± t*(sqrt(s1^2/n1 + s2^2/n2))

where x1 and x2 are the sample means for method 1 and method 2, s1 and s2 are the standard deviations for method 1 and method 2, n1 and n2 are the sample sizes for method 1 and method 2, and t is the critical value we just calculated.

Substituting the given values, we get:

CI = (81.7 - 72.5) ± 1.971*(sqrt(5.87^2/169 + 17.66^2/128))

= 9.2 ± 2.74

= (6.46, 11.94)

Therefore, we can be 95% confident that the true difference between the mean testing scores for method 1 and method 2 lies between 6.46 and 11.94.

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6. Find the value of x to the nearest tenth.

6. Find the value of x to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

\(Cos \ 39 = \frac{adjacent \ side}{hypotenuse}\\\\0.7771 = \frac{7}{x}\)

x * 0.7771 = 7

\(x =\frac{7}{0.7771}=9.007\)

x = 9

help please I really need to pass

help please I really need to pass

Answers

Answer:

A

Step-by-step explanation:

The rest of the steps are right

What is the rectangular form of z= 40(cos(7pi/6)+ i sin(7pi/6))

a. z= 20-20i rt3

b. z= 20rt3 -20 i

c. z= -20rt3 -20 i

d. z= -20-20 i rt3

Answers

Answer:

C. \(z = -20\sqrt{3}-i\,20\)

Step-by-step explanation:

The rectangular form of a complex number is represented by the following formula:

\(z = a+i\,b\) (1)

Where each coefficient can be determined as function of the polar components:

\(a = r\cdot \cos \theta\) (2)

\(b = r\cdot \sin \theta\) (3)

Where:

\(r\) - Magnitude of the complex number, dimensionless.

\(\theta\) - Direction of the complex number, measured in radians.

If we know that \(r = 40\) and \(\theta = \frac{7\pi}{6}\), then the rectangular form of the number is:

\(a = 40\cdot \cos \frac{7\pi}{6}\)

\(a = -20\sqrt{3}\)

\(b = 40\cdot \sin \frac{7\pi}{6}\)

\(b = -20\)

The rectangular form of \(z=40\cdot\left(\cos \frac{7\pi}{6}+i\,\sin \frac{7\pi}{6}\right)\) is \(z = -20\sqrt{3}-i\,20\). The correct answer is C.

Answer: c

Step-by-step explanation:

edge

When 0.5(20x – 50y + 36) – 0.25(–100x + 40y – 12) is simplified, what is the resulting expression?
10x-25y+18-25x+10y-3
-15x-15y+15
-10x+25y+18+25x-10y+3
35x-35y+21

Answers

Answer:

35x-35y+21

Step-by-step explanation:

You would have to combine the like terms together to get 35x-35y+21.

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

How to simplify an algebraic expression

In this question we must simplify an algebraic expression by applying the following list of properties:

Commutative propertyAssociative propertyModulative propertyDistributive propertyExistence of additive inverseExistence of multiplicative inverse

Now we proceed to simplify the expression given in the statement:

0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12)     Given

10 · x - 25 · y + 18 + 25 · x - 10 · y + 3     Distributive and associative properties/Definition of multiplication

35 · x - 35 · y + 21     Result

By applying algebra properties we notice that the algebraic expression 0.5 · (20 · x - 50 · y + 36) - 0.25 · (- 100 · x + 40 · y - 12) is equivalent to 35 · x - 35 · y + 21. (Correct choice: D) #SPJ5

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You put $500 in an account. The
account earns $55 simple interest in 5
years. What is the annual interest
rate?

HURRY HELP

Answers

Answer:

2.2% per year

Step-by-step explanation:

Problem:

You deposit $500 into a bank account and received $55 simple interest after 5 years. What had been the interest rate?

Result:

The interest rate was 2.2% per year.

Explanation:

Find interest rate by using the formula I = P*i*t , where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.  In this example I = $55, P = $500 and t = 5 years, so

i = 55/500*5

i=0.022 = 2.2% per year

Hope it helps XD

The sum of 1/2 and 2/3 is ??? 1

Answers

Answer:

5/6

Step-by-step explanation:

1/2 + 1/3 You first multiply 1/2 by 3 and 1/3 by 2

3/6 + 2/6 then you add

5/6

Step-by-step explanation:

1/2 + 2/3

find the LCM of 2 and 3

LCM =6

1/2 + 2/3

(you'll divide 6 by the denominator and multiply by the numerator)

denominator= the figure down(2 &3)

numerator= the figure up (1 & 2)

= 3/6 +4/6

=7/6

The probability of a call center receiving over 400 calls on any given day is 0.2. If it does receive this number of calls, the probability of the center missing the day’s target on average caller waiting times is 0.7. If 400 calls or less are received, the probability of missing this target is 0.1. The probability that the target will be missed on a given day is:

0.70
0.20
0.22
0.14

Answers

Therefore, the probability that the target will be missed on a given day is 0.22, or 22%.

To calculate the probability that the target will be missed on a given day, we need to consider the two scenarios: receiving over 400 calls and receiving 400 calls or less.

Scenario 1: Receiving over 400 calls

The probability of receiving over 400 calls is given as 0.2, and the probability of missing the target in this case is 0.7.

P(Missed Target | Over 400 calls) = 0.7

Scenario 2: Receiving 400 calls or less

The probability of receiving 400 calls or less is the complement of receiving over 400 calls, which is 1 - 0.2 = 0.8. The probability of missing the target in this case is 0.1.

P(Missed Target | 400 calls or less) = 0.1

Now, we can calculate the overall probability of missing the target on a given day by considering both scenarios:

P(Missed Target) = P(Over 400 calls) * P(Missed Target | Over 400 calls) + P(400 calls or less) * P(Missed Target | 400 calls or less)

P(Missed Target) = 0.2 * 0.7 + 0.8 * 0.1

P(Missed Target) = 0.14 + 0.08

P(Missed Target) = 0.22

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What’s 900+900
Just doing this cause it’s fun

Answers

1800??????????? We love fun
900+900=1800 :D !!!!!!!!!!!!!!!!

how to know the equation and solve it?​

how to know the equation and solve it?

Answers

Answer:

i added all the values because the total angle of the interior triangle should give 180 °.

how to know the equation and solve it?


Give 1 other example where quadratics (parabolas) might
be used by a career?

Answers

Answer:

Agriculture

Step-by-step explanation:

Quadratic equations are also used in agriculture. One of these uses is in finding out the optimal arrangement of boundaries to produce the biggest fields and pens given the materials on hand. Area is the length of a surface multiplied by its width. This turns calculations involving areas into quadratic equations.

What are some parent functions with a domain of all real numbers?

Answers

Answer:

The identity function has a slope of m = 1 and a y-intercept of (0, 0) .

Step-by-step explanation:

The identity function is a special type of linear function having the form f(x) = x . The domain of this function is all real numbers and the range consists of all real numbers .

20. Let g be a twice-differentiable, increasing function of t. If g(0) 20 and g(10) 220, which of the following must be true on the interval 0 < 10 ? (A) g'(t) 0 for some t in the interval. (B) g) 20 for some t in the interval. (C) g"(t) 0 for some t in the interval. (D) g"(t) > 0 for all t in the interval

Answers

For given function the correct solution is g'(t) = 20 for some t in the interval.

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

For a given function, y = F(x), if the value of y is increasing on increasing the value of x, then the function is known as an increasing function and if the value of y is decreasing on increasing the value of x, then the function is known as a decreasing function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

\(\frac{g(10)-g(0)}{10-0}\)

= \(\frac{220-20}{10}\)

=20

Hence as we can see that the correct solution for given function is g'(t) = 20 .

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A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given that g(10)= 220

g(0)= 20

So putting values in condition of differentiation for increasing function we get:

= 220-20/2

=20

The Burger Barn sells beef hamburgers and vegetarian bean burgers. Last Weekend, the restaruant sold 7 beef hamburgers for every 2 vegetarian bean burgers.If the Burger Barn sold 75 more beef hamburgers than vegetarian bean burgers last weekend , how many beef burgers did he sell?

Answers

Answer:

36 i think

Step-by-step explanation:

A car repair shop offers its customers free coffee while they wait.By the end of the day the coffee urn which had started out with 3 1/4 gallons of coffee was left with 1 1/6 gallons How many gallons of coffee had been dispensed

Answers

2 1/12 gallon!! Hope I could help :))

Explain the reasoning to your answer. Will mark you the Brainliest

Explain the reasoning to your answer. Will mark you the Brainliest

Answers

Answer:

6

Step-by-step explanation:

\(S_{n}\) = \(\frac{a(1-r^{n}) }{1-r}\)

63 = -3(1 - \(-2^{n}\)) / (1- -2)

63 = (-3 + \(6^{n}\))/3

63 = -1 + \(2^{n}\)

64 = \(2^{n}\)

n = 6

N should equal 6.Everything added up to 6 with my calculations

Which of the following is not a layer of the Earth?

Answers

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Which of the following is not a layer of the Earth?

55 cows can graze a field in 16 days. How many cows will graze the same field in 10 days? ​

Answers

There are 34 cows will graze the same field in 10 days.

We have to given that;

55 cows can graze a field in 16 days.

Since, Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Now, Let us assume that,

Number of cows graze the same field in 10 days = x

Hence, By proportion we get;

55 / 16 = x / 10

Solve for x;

550 / 16 = x

x = 34

Thus, There are 34 cows will graze the same field in 10 days.

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When purchasing new equipment, look for Read the scenario below and then answer the question. Sample scenario: Scientists have created a new grass seed that stops grass growth at a specific length, eliminating the need to mow the lawn. The price of this seed is high, but many consumers still want to use it. As a result, several different producers supply a large amount of this seed to consumers. In order to attract consumers to their product, some producers lower their prices and supply fewer bags of seeds. What is the best description of the grass seed that is described in this scenario What must be true for lines a and b to be parallel lines? Select two options.A) mAngle1 = (4 x minus 10) degreesB) mAngle2 = 58DegreesC) x = 20D) (3 x minus 1) degrees equals = (4 x minus 10) degreesE) Angle1 = 58Degrees Discuss four ways in which the community from which a child was raised may have becone a source of dicrimination The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toyrobot moves a total distance of 264 centimeters in 11 seconds,What is the time in seconds the toy robot moves when the total distance is 408 centimeters?24 817 so 13 s537 s The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $5.50 and each adult ticket sells for $10. The auditorium can hold at most 140 people. The drama club must make no less than $1100 from ticket sales to cover the show's costs. If x x represents the number of student tickets sold and y y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution. How do you find the derivative of an inverse trigonometric function? Divide 11/ 12 by 5 /6 The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,3). If the coordinates of AA are (2, -5)(2,5), what are the coordinates of BB?The formating kinda screwed up Find the 87th term of the arithmetic sequence 12, 0, -12, ... required the holders of broadcast licenses to present information on important issues in a way that was honest, equitable, and balanced. Which systems of the body are used to complete the activity of running? Explain how they are being used and how they work together. 7 marks Please help!!! which of the following is an example of direct intervention in foreign exchange markets? a. lowering interest rates b. increasing the inflation rate c. exchanging dollars for foreign currency d. imposing barriers on international trade A 30-N box is pulled 6.0 m up along a 37 inclined plane. What is the work done by the weight (gravitational force) of the box? refer to exhibit 8-2. based on the given change, what word (rises or falls) should go in blank (3) and blank (4), respectively, to summarize the resulting impact on short run equilibrium? what good allowed for aksums trade to grow What is the perimeter of the parallelogram shown below? And how did you get that answer. chemistry chemistry Garcia "Good deeds are like communicable disease" . Explain A 60 kg girl falls off of a waterfall and loses 10 kJ of GPE. What was her height?