A 13 ft ladder is resting on a wall. The angle the ladder makes with the floor is 45 degrees. How high off the ground is the top of the ladder?
Use the function y=13cos(theta) to find the answer

Answers

Answer 1

Answer:

height = 9.19 ft

Step-by-step explanation:

The ladder is resting on a wall. The angle the ladder makes with the floor is 45°. The ladder is 13 ft. The illustration forms a right angle triangle.

The hypotenuse side of the right angle triangle is 13 ft . The opposite side of the right angle triangle is the unknown which is the height off the ground the top of the ladder. Therefore,

Using ratio

sin ∅ =  opposite/hypotenuse

sin ∅ = opp/13

sin 45° = opp/13

cross multiply

13 sin 45 = opp

opp = 13 × 0.70710678118

opp = 9.19238815543

height = 9.19 ft

Or

You can use the following base on your equation(y = 13 cos ∅)

The other angle will definitely be 45° since total angle in a triangle is 180°. 180 - 90 - 45 = 45°.

The adjacent side of the triangle will be the unknown side if we use cosine ratio.

cos ∅ = adjacent/hypotenuse

cos 45° = adjacent/13

cross multiply

From your equation you represented adjacent as y therefore,

y = 13 cos 45°

y = 13 × 0.70710678118

y = 9.19238815543

y = 9.19 ft (which is the required height)


Related Questions

Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.

Answers

d=2p-12
I hope that helps!

Is the quotient of 5 and 1/2 greater than or less than 5? Explain your answer in complete sentences.

Answers

Answer: Greater than 5

Step-by-step explanation:

The quotient of 5 and .5 is 10.

5/0.5 = 10

Whenever you divide a whole number by a fraction, the quotient will always be larger than the whole number

what is the volume please answer and EXPLAIN YOUR answer

Answers

Answer:

2268mm^3

Step-by-step explanation:

To find the volume of the whole shape, an easier way would be to find the volume of each seperate prism and add them together.

The top/smaller prism has dimensions of 4mm x 3mm x 9mm.

Multiply together and you get (4mm x 3mm) x 9mm = 12mm x 9mm = 108mm

The bottom/bigger prism has the dimensions of 12mm x 9mm x 20mm

Multiply together and you get (12mm x 9mm) x 20mm = 108mm X 20mm = 2160mm

Add 108mm + 2160mm and you get the final volume of 2268mm^3

*Because you're working with volume you always add a ^3 after your measurement (units cubed)

2. Medusa is looking for a TV screen big enough for her
and her head of snakes to enjoy her favorite soap opera.
Mngotoxo.
G TV is listed as being 60 inches. This
distance is act|ially the diagonal distance across the
screen. If thereen measures 36 inches in height, what
is the actual width of the screen to the nearest tenth of
an inch?​

Answers

Answer:

48 Inches

Step-by-step explanation:

The diagonal of the TV = 60 Inches

Height of the Screen =36 Inches

We are to determine the actual width of the screen.

This TV across the diagonal forms a right triangle in which the diagonal is the hypotenuse.

We therefore use the Pythagorean Theorem to solve for the width of the screen.

Pythagorean Theorem: [tex]Hypotenuse^2=Opposite^2+Adjacent^2[/tex]

Let w be the width of the television

[tex]60^2=36^2+w^2\\w^2=60^2-36^2\\w^2=2304\\w=\sqrt{2304}\\ $Width of the television, w=48 inches[/tex]

Find the coordinates of the reflection without using the coordinate plane.
Q (-3,5) over the y-axis.

Answers

Answer:

(3,5)

Step-by-step explanation:

in order to reflect over an axis, you put a negative in front of the opposite axis's coordinate.

in this case, you reflect over the y axis so you put a negative in front of the x coordinate. (--3,5) two negatives make a positive so you get (3,5)

If your'e going to ask a question here, you might as well just use a coordinate plane

If my answer helps, please give me brainliest, it helps a lot

Answer:

(3,5)

Step-by-step explanation:

If the radius of a circle is 44 cm, then what is the diameter?
no guessing!!

Answers

Step-by-step explanation:

diameter = 2 * radius

= 2 * 44

= 88 cm (ANS)

Answer:

The diameter will be 88cm (Not a guess :P)

Step-by-step explanation:

So since we know that the radius is half the diameter we simply multiply 44*2 to get 88 as our diameter

Not hard, right? :P

Hope this helped! :)

Brainiest is most appreciated if possible

Sorry for any mistake that I made in advance

A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Brand A
Total sold
343
17
Brand B
14
180
Brand C
16
383
Brand D
8
246
Which brand should the store consider eliminating?
A. Brand A
B. Brand B
C. Brand C
O D. Brand D



Please help me !!!!

Answers

Answer:

B. Brand B

Step-by-step explanation:

[tex]\left|\begin{array}{cccc}$Brand&$Total Sold&$Returns&$Probability of Returns\\---&---&---&---\\$Brand A&343&17&\dfrac{17}{343}=0.0496 \\\\$Brand B&180&14&\dfrac{14}{180}=0.0778 \\\\$Brand C&383&16&\dfrac{16}{383}=0.0418\\\\$Brand D&246&8&\dfrac{8}{246}=0.0325\\&&&\end{array}\right|[/tex]

We can see from the table above that the experimental probability of returns of Brand B is the highest, therefore it has the highest likelihood of being returned.

The store should consider eliminating Brand B.

Answer:

B.) Brand B

Step-by-step explanation:

Solving for x and y

Answers

Answer:

105/13 = x ; 64/13 = y

Step-by-step explanation:

12x + 2 = y + 94  --> 24x + 4 = 2y + 188

11x + 12 = 2y + 91 -->

13x - 8 = 97 -->

13x = 105 -->

105/13 = x -->

64/13 = y

What is 9/7-6/10 equals

Answers

Answer:

48/70 or24/35

Step-by-step explanation:

9/7-6/10 u find the LCD or lowest common denominator. 90/70-42/70=48/70=24/35

Answer:

24/35

Step-by-step explanation:

9/7 - 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/7 - 3/5

The common denominator is 7*5 = 35

9/7 * 5/5    - 3/5 *7/7

45/35 - 21/35

24/35

I need the answer to number 9. Please! And if you have answers to the other questions;sharing them would be greatly appreciated. :D

Answers

Answer:

the correct answer for 9 is A) N 3-

Step-by-step explanation:

What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

Answers

Answer:

residual cost = $24.57

Step-by-step explanation:

The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict cost in dollars per barrel of jet fuel  from the cost , in dollars ,per barrel of crude oil. The residual value is the difference between the observed or measured value and the predicted value of  the regression model . The predicted value is gotten from the regression equation.

y = 2 + 6/7 x

where

x = cost of a barrel of crude oil

x = $60

y = 2 + 6/7 × 60

y = 2 + 360/7

y = 2 + 51.4285714286

y = 53.4285714286

y = $53. 43

predicted cost = $53. 43

Measured cost  = $78

residual = observed value - predicted value

residual = 78 - 53.43

residual cost = $24.57

The residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is $24.57

What is the residual value?

The residual value is the difference between the observed or measured value and the predicted value of the regression model.

Given that a barrel of crude oil costs $60 and a barrel of jet fuel costs $78.

According to the question, we have;

y = 2 + 6/7 x

where x = the cost of a barrel of crude oil

x = $60

Substitute;

y = 2 + 6/7 × 60

y = 2 + 360/7

y = 2 + 51.4285714286

y = 53.4285714286

y = $53. 43

The predicted cost is $53. 43

Measured cost  = $78

Then the residual = observed value - predicted value

The residual = 78 - 53.43

Residual cost = $24.57

Hence, the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78 is  $24.57

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ5

The complete question is

The residual is the difference between the observed value of y and the predicted value of y. The least square regression equation was used to predict the cost in dollars per barrel of jet fuel from the cost, in dollars, per barrel of crude oil. The predicted value is gotten from the regression equation. What is the residual of a week in which a barrel of crude oil costs $60 and a barrel of jet fuel costs $78?

In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use the number to simulate the weather in the video game

Answers

Answer:

  If the integer is in the range 1–15, then the weather could be declared rainy

Step-by-step explanation:

Assuming the integers are uniformly distributed 15 of them will constitute 30% of the possible integer. If the integer is in the range 1–15, then the weather could be declared rainy. That would make the probability of rain 30%, as required.

What is the area of the shaded region between the two z-scores indicated in the standard normal curve shown below. z=-1.23 z=0.83

Answers

Answer:

Correct option A: 0.6874

Step-by-step explanation:

Hello!

To calculate the area within the interval [-1.23; 0.83], you have to subtract to the probability accumulated till the lower value to the probability accumulated to the higher value, symbolically:

P(Z≤0.83)-P(Z≤-1.23)

You have to use the Z table to look for the corresponding values of probability. The negative value is in the left entry and the positive value is in the right entry. The first column shows the integer and first decimal value, the second decimal value is in the first row, you cross both values and find the value of probability.

P(Z≤0.83)-P(Z≤-1.23)= 0.7967 - 0.1093= 0.6874

I hope it helps!

In a study of cell phone usage and brain hemispheric​ dominance, an Internet survey was​ e-mailed to 6967 subjects randomly selected from an online group involved with ears. There were 1331 surveys returned. Use a 0.01 significance level to test the claim that the return rate is less than​ 20%. Use the​ P-value method and use the normal distribution as an approximation to the binomial distribution.

Answers

Answer:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

Step-by-step explanation:

Information given

n=6967 represent the random sample selected

X=1331 represent the surveys returned

[tex]\hat p=\frac{1331}{6967}=0.192[/tex] estimated proportion of return rate

tex]p_o=0.2[/tex] is the value to verify

[tex]\alpha=0.01[/tex] represent the significance level

z would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We test the claim that the return rate is less than​ 20%, then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.2[/tex]  

Alternative hypothesis:[tex]p < 0.2[/tex]  

The statistic is given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.191 -0.2}{\sqrt{\frac{0.2(1-0.2)}{6967}}}=-1.878[/tex]  

Now we can find the p value using the alternative hypothesis and with the following probability:

[tex]p_v =P(z<-1.878)=0.0302[/tex]  

We see that the p value is higher than the significance level of 0.01 so then we FAIL to reject the null hypothesis and there is NOT enough evidence to conclude that the return rate is less than​ 20% at 1% of significance

Abel Alonzo, Director of Human Resources, is exploring employee absenteeism at the Plano Power Plant. Ten percent of all plant employees work in the finishing department; 20% of all plant employees are absent excessively, and 7% of all plant employees work in the finishing department and are absent excessively.
1. If a plant employee is selected randomly, and F is the event "works in the finishing department," then P(F) = ________.
A. 0.07
B. 0.10
C. 0.20
D. 0.13
2. A plant employee is selected randomly; F is the event "works in the finishing department" and A is the event "is absent excessively." The probability of intersection of A and F, (P∩F) = __________.
A. 0.07
B. 0.10
C. 0.20
D. 0.23

Answers

Answer:

 gvuhgvcgv  

Step-by-step explanation:

hvhjbkuijbg

First CORRECT answer WILL get Brainliest. I’m on a limited time so if you don’t know, don’t answer. No guesses, not what you think, accurate and correct answers. I apologize if I am coming off as rude, but I honestly don’t have the time to delete questions. Thank you in advance!

Answers

Answer:

Square feet of Carpeting : 136 ft^2

Step-by-step explanation:

Let us divide this figure into two shapes, each being rectangles;

Considering the first, smaller shape, with a given dimension of 7 feet we can see that the second dimensions is 13 - 9, ⇒ 4 feet

The Area of this part would thus be ⇒ 7 * 4 = 28 ft^2

Now this second figure is provided with dimensions 12 by 9 feet, so that the  area would, by definition ⇒ length * width = 12 * 9 ⇒ 108 ft^2. The total area of this figure is, by Partition Postulate : 108 + 28 ⇒ 136 square feet

If Sara plans to carpet the room, clearly the carpeting's area should be equivalent to that of the area of the room. This would mean;

Square feet of Carpeting : 136 ft^2

What design principle is stressed for experiments or observational​ studies?

Choose the correct answer below.

A. Using dependent samples with paired data is generally better than using two independent samples.

B. When using paired​ data, keep the sample very small in order to keep the data manageable.

C. The methods for dependent samples can be used for any matched pairs.

D. Using two independent samples is the best choice for accurate results.

Answers

Answer:

A). Using dependent samples with paired data is generally better than using two independent samples.

Explanation:

Observational studies is the research/study design in which the investigator observes the samples collected from the population in their natural pattern to make valid inferences without any kind of manipulation or interference. While the experimental studies involves a controlled or manipulated variable in order to check its impact over the independent variable and the relation between the two.

As per the question, the design principle that is emphasized for both the studies would be 'employing dependent samples along with the paired data is usually effective than employing two independent samples' as the former concerns one set of elements that makes them 'self-evident'(as the subjects of one sample can be employed to determine the subjects of other). Thus, option A is the correct answer.

You deposit $2,000 at the end of each year into an account earning 2% interest compound annually. How much will you have in the account in 15 years?

Answers

Answer:

Simple interest = $600

Step-by-step explanation:

In this word problem, we will need to find the simple interest.

Formula:

I = prt or I = p x r x t

Simple interest: final answer

I = (2,000)(.02)(15) multiply.

I = 600

Simple interest: $600

The mean age of 5 people in a room is 40 years.
A person enters the room.
The mean age is now 37.
What is the age of the person who entered the room?

Answers

Answer:

22years

Step-by-step explanation:

The sum of ages of people in the room is 40 * 5= 200

[ Remember mean = total ahead of people/ number of people]

Let the age of the 6th person be X

200+x. / 6 = 37

200 + x = 37 * 6 = 222

x = 222- 200 = 22

Rearrange the equation so u is the independent variable.


-12u + 13 = 8w - 3


y = __


15 POINTS HELP ME !

Answers

Answer: U = 8w-16/-12

Step-by-step explanation:

-12u + 13 = 8w -3

-12u + 13 - 13 = 8w -3 -13

-12u = 8w -16

u = 8w - 16/ -12

What’s the correct answer for this?

Answers

Answer:

A.

Step-by-step explanation:

In the attached file

A bag contains 7 red and 10 white balls. In how many ways 4 balls are selected if there are more than 2 red balls?

Answers

Answer:

2

Step-by-step explanation:

Well if 2 are red it can only be either

rrrr

or

rrrw

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing. Show your work or give an explaination.

Answers

Answer:

B

Step-by-step explanation:

A function has at most one y value for every x value. This means that for every vertical line, there can be at most one intersection.

This example clearly doesn't satisfy this requirement.

if A is a square matrix such that A^2=2I,then A^-1=?​

Answers

[tex]A^2=2I[/tex]

Recall that [tex]I=AA^{-1}=A^{-1}A[/tex], so

[tex]A^2=2(A^{-1}A)[/tex]

Multiply on the right by [tex]A^{-1}[/tex] and regroup terms:

[tex]A^2A^{-1}=2(A^{-1}A)A^{-1}[/tex]

[tex]A(AA^{-1})=2A^{-1}(AA^{-1})[/tex]

[tex]A=2A^{-1}[/tex]

and finally solve for [tex]A^{-1}[/tex]:

[tex]\boxed{A^{-1}=\dfrac12A}[/tex]

ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.

Answers

Answer:

C. F(x) = [tex]4x^2 + 1[/tex]

Step-by-step explanation:

The altered function on the graph has shifted upwards by 1 unit from a +1. It also got narrower, and this is from a number that's greater than 1 in front of x.

What was yesterday? Or tim

Answers

Answer:

Tuesday may 18 2020

Step-by-step explanation:

Jameson collects eggs from his chickens every day. The graph shows the approximate number of eggs Jameson collects over a couple of days.

What does 4.54 mean in this situation?

a. Jameson has 4 or 5 chickens.

b
Jameson collects about 4 or 5 eggs per day.

C
It takes 4.5, point, 5 days for Jameson to collect an egg.

Answers

Answer:

B

Step-by-step explanation:

Khan

help a sistah, follow their instah: emventures666

plz give brainliest oh wait nevermind-

Answer:

The answer is B

Step-by-step explanation:

I just got it right

if your shadow is twice your height, what is the angle of elevation of the sun?

A. The angle of elevation is about 27°
B. The angle of elevation is 30°
C. The angle of elevation is 60°
D. The angle of elevation is 63°​

Answers

Answer:

The angle of elevation is about 27°

Step-by-step explanation:

Let's view this case in the form of a right angled triangle. With the original height as the opposite side to the elevation angle and the shadow length as the adjacent side.

Let x represent the original height

2x is the length of shadow

And θ the angle of elevation

Applying trigonometry;

Tan θ = opposite/adjacent = original height/shadow length

Substituting the values;

Tan θ = x/2x

Tan θ = 1/2

θ = taninverse(1/2)

θ = 26.56505117707

θ ≈ 27°

Elevation angle is approximately 27°


Select each expression that is equivalent to 5(n + 4).

Answers

Answer:

5n+20

Step-by-step explanation:

5(n+4)

Distribute

5*n+5*4

5n+20

When faced with needing additional money during college which is option is NOT true?

Answers

The options to the questions are:

A.  Taking on a job can cut into study time

B.  Paying with credit cards can end up conting more money

C.  Paying with additional loans can lead to connections and opportunities

D.  Taking on a job can make connections that lead to opportunities

Answer:

C.  Paying with additional loans can lead to connections and opportunities

Step-by-step explanation:

When faced with needing additional money during college, an individual may chose to take on job so to get extra money to finance his or her needs. However, such venture often leads to redcution in study time, as working on jobs will also needs it own time of execution.

Also, paying for financial needs during college days with credit card can lead to counting more money on the card. This implies that one can accumulate credit card rewards which can be in form of cashback, or points from certain purchases when using credit card.

More so, taking a job during college days, will definitely brings connections with different people, and thereby leads to opportunities.

However, paying with additional loans will never lead to connections and opportunities, but rather more debt, that the debtor will have to pay, which may take months or years. And it can only be a burden on the debtor.

Hence, when faced with needing additional money during college the option that is NOT true is Paying with additional loans can lead to connections and opportunities

Other Questions
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.Which equation represents this situation?n+ (n + 6) = 24, where n is the number of yellow marblesn + 6 = 24, where n is the number of yellow marblesn + 6 = 24, where n is the number of blue marblesn+ (n + 6) = 24, where n is the number of blue marbles What is the value of the following expression when p = 9? 6p+5 David has a garden with dimension 11 feet long x 9 feet wide. he wants to enlarge the garden to an area of 126. How much farther will he need to extend the length of the garden to attain his desired Badgersize Company has the following information for its Forming Department for the month of August. Work in Process Inventory, August 1: 20,000 units Direct materials: 100% complete $ 80,000 Conversion: 20% complete 24,000 Balance in work in process, August 1 $ 104,000 Units started during August 49,000 Units completed and transferred in August 60,000 Work in process (70% complete), August 31 ?Costs charged to Work in Process in AugustDirect materials$140,000Conversion costs:Direct labor$105,000Overhead applied148,000Total conversion$253,000Assume materials are added at the start of processing.Required:1. Calculate the equivalent units for the Forming Department for the month of August.2. Find the cost per equivalent of input resource. For the presentation assessment, you will record an audio of yourself speaking in Spanish in response to the following scenario:You just started volunteering in your community and want to tell your friends all about it. 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What amount of accrued liability should Leucothea have reported in its December 31, 2018 balance sheet? What method can you use to find the area of the composite figure? Select three options.A large rectangle. A smaller rectangle is connected on the right side.Decompose the figure into two rectangles and add the areas.Decompose the figure into three rectangles and add the areas.Extend the top and rightmost sides to make a larger rectangle, find its area, and then subtract the area of the removed corner. Decompose the figure into two rectangles, find their sum, and then add the area of the removed corner.Decompose the figure into two rectangles, find their sum, and then subtract the area of the removed corner. stuck on this please help What was Uncle Tom's Cabin?A. A true story of a slave named Tom who escapes and makes it to freedom.B. A fiction novel about a slave who is killed at the hands of his master.C. A true story of a family that builds a cabin and lives their peacefully.D. 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