A 100-foot rope from the top of a tree house to the ground forms a 45 degree angle of elevation from the ground. How high is the top of the tree house? Round your answer to the nearest tenth of a foot

Answers

Answer 1

Answer:

The top of the tree house is 70.71ft high

Step-by-step explanation:

Kindly find attached rough sketch of the problem for your reference.

From the sketch we see that the rope at 45° and the tree house form a right angle triangle

Applying

SOH CAH TOA formula

using SOH

sin θ= h/100

h= sinθ*100

h= sin(45)*100

h= 0.7071*100

h= 70.71ft

A 100-foot Rope From The Top Of A Tree House To The Ground Forms A 45 Degree Angle Of Elevation From

Related Questions

A ribbon that is 22 3/4 inches long has to be divided into 7 equal pieces

Answers

Answer:

each piece will be 3 1/4 inches

Step-by-step explanation:

22 3/4 can be rewritten as 91/4. to divide, you use keep, change, flip (keep the first fraction, change the sign, and flip the second fraction) . u will end up with 91/4 times 1/7, which is 91/28 or 3 1/4

Each piece of ribbon will be 3(1/4) inches.

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

[tex]22\dfrac{3}{4}[/tex]

This expression can be rewritten

[tex]\dfrac{88+3}{4} = \dfrac{91}{4}[/tex]

Since ribbon has to be divided into 7 equal pieces

[tex]\dfrac{\dfrac{91}{4}}{7}[/tex]

[tex]\dfrac{91}{4} \times\dfrac{1}{7}[/tex]

[tex]\dfrac{91}{28} = \dfrac{13}{4}[/tex]

[tex]3\dfrac{1}{4}[/tex]

Learn more about expression here:

brainly.com/question/13947055

#SPJ2

The triangle shown below has an area of 444 units^2


2


squared.


Find the missing side.



i need this rn

Answers

Where’s the picture so I can help?

Answer:

2 units

Step-by-step explanation:

First, let's set up an equation using the formula for the area of a triangle.

Then, see the attached photo on how I did it.

The answer: x = 2 units

solve 5y(y-4)=0 please hurry!

Answers

Answer:

y = 4

y = 0

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 5y • (y - 4)  = 0  

Step  2  :

Theory - Roots of a product :

2.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2      Solve  :    5y = 0  

Divide both sides of the equation by 5:

                    y = 0

Solving a Single Variable Equation :

2.3      Solve  :    y-4 = 0  

Add  4  to both sides of the equation :  

                     y = 4

Hope this helps

Answer:

Your question that I have solved:

y= 0,4

Step-by-step explanation:

Explain how you would estimate the area of the figure below.
(Each square represents 1 square foot)

Answers

Answer:

29

Step-by-step explanation:

1/2+1+1+1+1/2=4

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1/2=5

1/2+1+1+1+1+1+1+1/2=7

1+1+1+1+1+1+1+1=8

8+7+5+5+4=29

15+10+4=29

25+4=29

29=29

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet. The width of the floor is 4 feet less than the length. It will have a stage and a closet, and the remaining area of the floor will be painted. The dimensions are shown in the diagram: rectangle with length of x ft and width of x minus 4 ft, right triangle inside labeled stage with height of x minus 4 ft and base of 8 ft, rectangle inside labeled closet with length of 7 ft and width of 3 ft, the rest of the rectangle is labeled floor Let A represent the painted area, in square feet, of the floor. Choose the correct equation to solve for area (A). A = x(x − 4) − (8)(x − 4) − 3(7) A = x(x − 4) + (8)(x − 4) + 3(7) A = x(x − 4) + 0.5(8)(x − 4) + 3(7) A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Answers

Answer:

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

Step-by-step explanation:

x = length, making the width (x-4)

The stage closet will be (x-4)(8)(1/2)

The rectangle is 7(3)

That makes the painted area x(x-4) - 4(x-4)

So...

A = x(x − 4) − 0.5(8)(x − 4) − 3(7)

The printed area of the theater room is x(x − 4) − 0.5(8)(x − 4) − 3(7). Then the correct option is D.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A local school needs to paint the floor of its theater room, where the length of the floor, x, is at least 11 feet.

The width of the floor is 4 feet less than the length.

It will have a stage and a closet, and the remaining area of the floor will be painted.

Let, the length be x

Then the width will be (x - 4)

Then the stage closest will be

[tex]\dfrac{8(x- 4)}{2} \Rightarrow 4(x-4)[/tex]

The rectangle is 7(3)

The painted area will be given as

[tex]\rm x(x-4) - 4 (x-4)[/tex]

Then we have

[tex]\rm area = x(x - 4)- 0.5(8)(x - 4) - 3(7)[/tex]

More about the geometry link is given below.

https://brainly.com/question/7558603

Stacey bought a box of cookies that match the dimensions of the solid below. How many square units of cardboard were used to construct the box? If your solution is not a whole number round to the nearest tenth.

Answers

Final answer:

To calculate the number of square units of cardboard used to construct Stacey's cookie box, we need the box's dimensions to find the surface area. If the box were similar to a 9x9x4 inch doughnut box mentioned in the examples, the calculation would result in 306 square inches. Without the exact dimensions, we use the formula for surface area and round to the nearest tenth if necessary.

Explanation:

To determine how many square units of cardboard were used to construct Stacey's cookie box, we need to calculate the surface area of the box. However, the question does not provide the exact dimensions of the solid, so let's assume that we have the length, width, and height of the box. Then, the surface area of the box can be calculated as twice the sum of the length times width, length times height, and width times height (2(lw + lh + wh)).

As an example, if the box had dimensions of length (l), width (w), and height (h), and let's say that l=9 inches, w=9 inches, and h=4 inches, similar to the doughnut box mentioned in the provided information, the surface area would be:

Surface area = 2(lw + lh + wh) = 2(9*9 + 9*4 + 9*4) = 2(81 + 36 + 36) = 2*153 = 306 square inches

Now, if Stacey's cookie box has different dimensions, you would plug those values into the surface area formula instead. If the calculated surface area is not a whole number, the question advises to round to the nearest tenth.

Name the center of Circle R with an ordered pair. Type an ordered pair, including parentheses, into the space provided.
Do not type spaces in your answer.
NEXT QUESTION
ASK FOR HELP
TURN IT IN

Answers

Answer:

(0,0)

Step-by-step explanation:

SOS I NEED ANSWER RIGHT NOW SOMEONE PLEASE HELP ME :(

Answers

Answer:

The functions share a y intercept of -1

Step-by-step explanation:

Both functions cross the y axis and y=-1 and x=0

They both have the same y intercept

a sound wave has a frequency of 627 hz and a wavelength of 3.25 m. what is the speed of the wave?​

Answers

Answer:

2037.75m/s

Step-by-step explanation:

To calculate the speed of a wave, you need to multiply the wavelength by the frequency. In this case, 627*3.25=2037.75m/s. Hope this helps!

Final answer:

The speed of a sound wave with a frequency of 627 hz and a wavelength of 3.25 m is calculated using the formula v = f λ, where v is the speed, f is the frequency, and λ is the wavelength. Multiplying the given frequency and wavelength gives a speed of 2037.75 m/s for the sound wave.

Explanation:

The speed of a sound wave is calculated by multiplying its frequency by its wavelength using the formula v = f λ, where v is the speed of the wave, f is the frequency, and λ (lambda) is the wavelength.

Given that the frequency of the sound wave is 627 hz and the wavelength is 3.25 m, we can substitute these values into the formula to find the speed:

v = 627 hz × 3.25 m

Now, let's perform the multiplication to solve for v:

v = 2037.75 m/s

Therefore, the speed of the sound wave is 2037.75 meters per second.

i will mark brainliesttt!

Answers

Answer: 75 degrees

Step-by-step explanation: supplementary means 180 so you do 180-105 which is 75

Find the X-intercept of the function represented by the graph?

Answers

Answer:

I would think 28

I may be wrong but y'know

Why 28?

well it's going to touch a box every 8 boxes and 28 is the only one with 28

I hope this is right sorry if it's not.

how many ways can erik mina and roger stand in line?

Answers

Answer:

6

There are three people, so 3x2x1 is 6

Erik could stand in all three spots, Mina could stand in two of the available spots, and then there's only one left for Roger

Even if you flip the characters around, it's still 6

If it helps to draw it so you can visually see it, that would be a great idea

:)

Ross drives 240 miles in 4 hours. If Ross continues to drive at the same rate, how many miles can he drive in 8 hours?
A. 464
B. 480
C. 180
D. 960

Answers

Answer:

B

Step-by-step explanation:

240+240=480

yes

Answer:

B. 480

Step-by-step explanation:

You can find the answer to this by finding the unit rate of Ross's travel. 240:4=60:1, meaning that he drives at 60 miles per hour. Multiplying this by 8 hours, you get 480 miles. Hope this helps!

A watch company is developing packaging for its new watch. The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in to create a prototype for the new package. What is the volume of the prototype?

Answers

Answer:

The volume of the prototype is 200 cubic inches.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the pentagonal prism:

Volume (V)= base area x height of the rectangular face

Replacing with the values given and solving for V (volume)

V = 20 in2 x 10 in = 200 cubic inches

The volume of the prototype is 200 cubic inches.

Feel free to ask for more if needed or if you did not understand something.

The volume of the prototype is 200 cubic inches.

Calculation of the volume:

Since The designer uses pentagons with a base area of 20 in2 and rectangles with a length of 10 in

So, here the volume is

= 20(10)

= 200 cubic inches

Therefore, The volume of the prototype is 200 cubic inches.

Learn more about volume here: https://brainly.com/question/11826100

A spinner is split into 4 equal parts labeled 1, 2, 3, and 4.
What is the probability of landing on an even number? (Write your final answer as a percentage.)



P(event) =

Answers

Your answer is 50% because 2 and 4 are the only even numbers
The answer would have to be 50% because there are only two even numbers; 2 and 4

Determine the intercepts of the line.

Answers

Answer:

see explanation

Step-by-step explanation:

To find the x- intercept, where the line crosses the x- axis, let y = 0 in the equation and solve for x, that is

11x + 6 = 0 ( subtract 6 from both sides )

11x = - 6 ( divide both sides by 11 )

x = - [tex]\frac{6}{11}[/tex] , thus coordinates of x- intercept are

( - [tex]\frac{6}{11}[/tex], 0 )

To find the y- intercept, where the line crosses the y- axis, let x = 0 in the equation and solve for y, that is

y = 11(0) + 6 = 0 + 6 = 6, thus coordinates of y- intercept are

(0, 6 )

Can someone answer this question?

Answers

Answer:

You're correct, it's 7.5!

Step-by-step explanation:

15% is still 15/100. So, if you to divide 100 by 2 to convert it to 50, then you divide 15 by 2 as well! And the answer to that is 7.5.

1.17 − 0.07a + (−3.92a) What is this ????

Answers

Answer: 17-3.99a

Step-by-step explanation:

Remove parentheses.

17- 0.07a- 3.92a17−0.07a− 3.92a

Collect like terms.

17+(−0.07a−3.92a)

Simplify.

17−3.99a

an Exothermic reaction _____ Energy

Answers

Answer:

An exothermic reaction releases energy

Step-by-step explanation:

Answer:

releases

Step-by-step explanation:

Answer for Founder's Education/Educere

Please answer correctly !! Will mark brainliest !!!

Answers

Answer:

no, because in a function, the input is paired or has only one output, but here 20 is paired to both 40 and 42, which doesn't make it a function.

NEED HELP PLEASE: The pyramid shown has a regular hexagon as a base. What is the literal area of the pyramid?

Answers

Answer:

864cm squared

Step-by-step explanation:

Formula for Lateral Area:

Lateral Area=1/2* (Perimeter of the Base)*Height

The Perimeter of the Base = 72cm

Height = 24

Answer = 1/2* 72* 24

Answer = 864cm squared

D is the answer for this problem

pls help! will give brainlist!

what is the value of x?

a. 60 degrees
b. 50 degrees
c. 40 degrees
d. 70 degrees

Answers

Answer:

A. 60°

Step-by-step explanation:

There's a very straight-forward explanation for this, thank god! XD

For this type of problem, there's a rule to follow for the outside angle. X and 120 should equal 180, so all you need to do is fill that gap.

180-120 = 60

60 is your answer because it completes the whole angle.

Find the volume
12 poir
2.2 cm

Answers

Answer: 26.4
To find the volume u multiply 12x2.2=26.4

i think its b but please help!! if you do help me with the other ones plz im lowkey slow

Answers

Answer: C

Step-by-step explanation:

4 * 2=  8

4 *2 = 8

6 * 1 = 6/2 = 3

6 *1 = 6/2 =3

6* 2 = 12

12 + 3 +3 +8 +8 = 34

find the value of x.​

Answers

Answer:

92

Step-by-step explanation:

The two angles add to make a straight line, so their sum is 180

88+x = 180

Subtract 88 from each side

88+x-88 = 180-88

x =92

Answer:

92

Step-by-step explanation:

(7 * 10-5) (5 x 10-) =

x 10​

Answers

Have you learned PEMDAS? (Parenthesis, exponents, multiplication, division, addition, subtraction). That is what I am going to do here.

The first parenthesis, let's solve. 7*10=70-5=65

The second parentheisis: I am assuming the negative sign is a typo, and this answer will be off if it is not. Sorry. 5*10=50

65*50=3250

I hope this helps, and let me know if you need further assistance.

A radioactive element has a half-life of 5,750 years. Archeologists determined a relic had lost 25.5% of this element at the time it was found. How old is the relic? (Two steps)

Answers

Answer:

2441.95 years

Step-by-step explanation:

We can model this exponencial function as:

P = Po * (1+r)^(t/n)

Where P is the final value, Po is the inicial value, r is the rate, t is the time and n is the period of half-life.

In this case, we have that P/Po = 100% - 25.5% = 74.5% = 0.745, r = -0.5 and n = 5750, so we have that:

0.745 = (1 - 0.5)^(t/5750)

Step 1: log in both sides:

log(0.745) = (t/5750) * log(0.5)

Step 2: isolate t

t = 5750*log(0.745)/log(0.5) = 2441.95 years

NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! First one who help will be marked brainliest

Answers

the answer is: 26.50

Express 900 as a product of its prime factors in index form.
Write the prime factors in ascending order.

Answers

Answer:

2^2*4*5^2*9=900

Step-by-step explanation:

900= 100*9

100=20*5

20=5*4

4=2*2

2*2*4*5*5*9=900=

2^2*4*5^2*9=900

Hope this helps!

Answer:

2×2×3×3×5×5

2²×3²×5²

Step-by-step explanation:

Hope this helped (:

please help means a lot will mark brainlist

Answers

Answer:

The correct one is the one that you have clicked on already.

Step-by-step explanation:

I agree with her she is right you are correct
Other Questions
4. Explain why the Constitution denies certain powers to the federal government. (p. 8) Four elements-chlorine (Cl), potassium (K), argon (Ar), and radium (Ra) according to the periodic table which of these elements has atoms with the most valence electrons?A.Potassium B.Chlorine C.Radium D.Argon Brainliest!!!! Help meGraph one shows a sudden drop in fermentation after the evolution of the first living cells. Describe why this change occurred and how it may relate to temperature. Dorian has two bags. Each bag has the letters A, B, and C written on little pieces of paper inside of it. He draws one letter from each bag. What is the probability that he draws out a vowel and a consonant? A. B. C. D. Based on the word choice, style, and tone of this passage, who is most likely the audience? experts with an advanced knowledge of driving students in high schools and colleges readers interested in learning how to drive people interested in learning about the authors life The bar of the square pyramid shown has and area of 576 units. If the slant height of the pyramid is 29 units, what is the height of the pyramid? What is 7 to the second power in standard form 100 students in the gym 25 are wearing a hat, 25 are wearing a T- shirt, 25 are wearing a hoodie and 25 are wearing a yankee T-shirt. If one student is randomly selected what is the probability that student is wearing a hat. Find the value of x.x = which type of operating system does unix belong to A circle has the equation x2+y2+16y30x=0.What is the equation of the circle in standard form, the coordinates of its center, and the length of its radius?The equation of the circle is (x+15)2+(y8)2=289; the center is at (15,8), and the radius is 17 units.The equation of the circle is (x15)2+(y+8)2=289; the center is at (15,8), and the radius is 289 units.The equation of the circle is (x15)2+(y+8)2=289; the center is at (15,8), and the radius is 17 units.The equation of the circle is (x15)2+(y+8)2=289; the center is at (15,8), and the radius is 289 units. The rhythm in the excerpted lines of Coleridge's poem can be compared toA. heavy breathingB. Pounding waterC. Rolling thunderD. Sharp gunshots By agreeing that all family members will meet at the city pool, the family emergency plan addressed which possibility? evacuation and quick relocation destruction and community panic terrorism and coordinating response separation and loss of communication Which of the following did you use to support yourcritique? Check all of the boxes that apply.Twain entertains readers.Twain makes readers laugh.Twain provides social criticism mixed withhumor,Twain shows the dark side of human naturein a funny wayTwain expresses a serious viewpoint throughsilly characters. Select the statement below that is TRUE: A. Heredity is the primary contributing factor to longevity B. Levels of physical activity typically increase over the lifespan C. One's level of medical care is the primary determinant of health D. We have little ability to impact our own health E. None of the statements are true. What did supporters of the Republican Party have in common? Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both? Which conclusion BEST explains the narrator'sinability to find his own heart in the paragraphon pages 4-5 of the passage?He has symptoms of an illness that weaken hisheartbeat.He is in a location where there is too much noise tohear anythingHe has not received proper medical training.He is inclined to believe the worst about his health. A cereal company is putting 1 11 of 3 33 prizes in each box of cereal. The prizes are evenly distributed so the probability of winning any given prize is always 1 / 3 1/31, slash, 3. Adam wonders how many boxes he should expect to buy to get all 3 33 prizes. He carried out 32 3232 trials of a simulation and his results are shown below. Each dot represents how many boxes it took to get all 3 33 prizes in that trial. 3 3 4 4 5 5 6 6 7 7 8 8 9 9 10 10 11 11 12 12 13 13# of boxes purchased Use his results to estimate the probability that it takes 9 99 or more boxes to get all 3 33 prizes. Give your answer as either a fraction or a decimal. P ( 9 or more boxes ) P(9 or more boxes)P, left parenthesis, 9, start text, space, o, r, space, m, o, r, e, space, b, o, x, e, s, end text, right parenthesis, approximately equals How does Grandma Sands feel about indoor plumbing? Use TEXTUAL EVIDENCE and ANALYSIS to explain your answer. Also use capital letters and ending punctuation. (n the book Watsons Go To Birmngham Steam Workshop Downloader