A 50-meter vertical tower is braced with a cable secured at the top of the tower and tied 30 meters from the base. What is the angle of depression from the top of the tower to the point on the ground where the cable is tied?​

Answers

Answer 1

Answer:

angle of depression = 59.04 degrees

Step-by-step explanation:

tangent X = 30/50

tangent X = 0.6

x = 30.96 degrees

90-30.96 = 50.04 degrees

Answer 2

Answer:

Step-by-step explanation:

θ = arctan(50/30) ≈ 59°


Related Questions

A department of transportation's study on driving speed and miles per gallon for midsize automobiles resulted in the following data. Speed (Miles per Hour) 30 50 40 55 30 25 60 25 50 55 Miles per Gallon 29 26 26 22 29 31 21 35 25 26 Compute the sample correlation coefficient. (Round your answer to two decimal places.) Interpret the sample correlation coefficient. There is a strong negative relationship between the driving speed and miles per gallon. For driving speed between 25 and 60 miles per hour, higher speeds are associated with lower miles per gallon.

Answers

Answer:

R = -0.90 (2 decimal places)

Step-by-step explanation:

Given the data :

Speed (Miles per Hour) :

30

50

40

55

30

25

60

25

50

55

Miles per Gallon :

29

26

26

22

29

31

21

35

25

26

The correlation Coefficient, R shows the degree or level of relationship between the dependent and independent variable. A positive R value denotes a positive correlation while a negative R value denotes a negative relationship. R values should range between - 1 to +1 with values close to 1 and - 1 depicting strength while value of zero means no relationship exist.

Hence, R value of -0.90 depicts a strong negative relationship. Hence, higher speed are related to lower miles per gallon and vice versa.

Find the pattern and use it to list the next two terms in the sequence.
-3,6,-28,72,-360,2160, ___ ,___

Answers

Answer:

Step-by-step explanation:

a₁ = -3 = (-1)¹×3

a₂ = 6 = (-1)²×2×3

a₃ = -28 = (-1)³×2²×7

a₄ = 72 = (-1)⁴×2³×3²

a₅ = -360 = (-1)⁵×2³×3²×5

a₆ = 2160 = (-1)⁶×2⁴×3³×5

That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.

https://homework.russianschool.com/resource?key=54457jiywiyhw

Answers

I m not sure I understand

Answer:

120

Step-by-step explanation:

The pot above contains 12 liters of water. If the water were divided equally into 4 smaller containers, how many liters would be in each container?​

Answers

Answer:

3

Step-by-step explanation:

12/4=3

Answer:

3 liters per small contaner

Step-by-step explanation:

12 divided by 4 is 3

please help ill mark brainliest

Answers

Answer:

x=11.31

Step-by-step explanation:

Pythagorean theorem

12^2-4^2=x^2

144-16=x^2

x=11.31

Determine the type of bias involved. In a study of the effectiveness of wearing seat belts, a group of people who had survived car accidents in which they had not worn seat belts reported that seat belts would not have helped them. The type of bias involved in the given information i

Answers

Answer:

Non-response bias also known as Participation Bias

Step-by-step explanation:

The type of bias being demonstrated in this scenario is known as Non-response bias also known as Participation Bias. This is happening in this scenario because the individuals being surveyed have gone through the trauma of a car accident and survived it. To them they are stating that seat belts would not have helped since they do not want to believe that they could have done something to prevent their injuries. This causes them to say nothing or provide false information which ultimately ruins the results of the study.


Lindsey plans on visiting her friend two states over. The distance to her friend is 1188 miles. If she leaves on Friday and drives 7 hours at a time at 60 mph, how many days will she travel? (Round your answer to whole days

Answers

Answer:

Do you mean 7 hours a day? If so:

7*60=420

1188/420=2.82ish which rounds to 3 days.

Step-by-step explanation:

Ayşe'nin boyu Selin'in boyunun iki katından 0,3 m
fazladır.
Selin'in boyu 0,66 m olduğuna göre Ayşe'nin
boyu kaç m'dir?
A) 1.26
B) 1,48
C) 1,62
D) 1,71​

Answers

Answer:

english pls

Step-by-step explanation:

Answer:

metreyle ölçmek lazım WXQQDWRQCQ

uh yo how do i make histogram

Answers

Answer:

u can use desmos to help u.

Step-by-step explanation:

1/3(4 + 18)-2²
PLIS I need help :(​

Answers

Answer:

10/3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

1/3(4 + 18) - 2²

Step 2: Evaluate

(Parenthesis) Add:                                                                                          1/3(22) - 2²Exponents:                                                                                                      1/3(22) - 4Multiply:                                                                                                           22/3 - 4Subtract:                                                                                                          10/3

Hazel bought some donuts for $2.15 each. She also bought a drink for $3.12. She spent a total of $11.72. Write an equation to find how many donuts Hazel bought ​

Answers

Answer:

she had 4 donuts!

Step-by-step explanation:

her total was $11.72 minus the drink so $8.60 and divided by the cost of donuts $2.15 you get 4.

Answer:

(11.72 - 3.12) ÷ 2.15 = 4

Step-by-step explanation:

You can double check by doing (2.15 x 4) + 3.12 = 11.72

The graph of a function f is shown below.
Find one value of x for which f(x) = -4 and find f (2).
helppp pleaseeee

Answers

(0,-4) and (2,-3) are points on the graph. f(0) = -4
f(2) = -2

Who can help me with this ?

Answers

Answer:

Growth

Step-by-step explanation:

Since the the consistent exponent 5/2 is greater than 1 it will grow

Find the indicated real \large nth root(s) of \large a.


\large n=6, \large a=64

Answers

Answer:

e

Step-by-step explanation:

Ursula bougth dozen rollz of the first aid tape for the health office the rollz were divided equally into 4 boxes how many rolls are in each box

Answers

The answer is 3 rolls
Hope this helps :)

An office supply store recently sold a black printer ink cartridge for ​$14.99 and a color printer ink cartridge for ​$23.99. At the start of a recent fall​ semester, a total of 64 of these cartridges was sold for a total of ​$1157.36. How many of each type were​ purchased?

Answers

Let B be the number of Black printer ink cartridges and C be the number of color printer ink cartridges.

49 were sold in total, hence,

B+C= 49 ------------(1)

Also, its given that

18.99 B + 27.99 C = 1146.51---------(2)
Multiplying (1) by 18.99,

18.99 B+ 18.99 C= 930.51 ------(3)

Now, subtracting (3) from (2),

18.99 B + 27.99 C = 1146.51
18.99 B+ 18.99 C= 930.51
------------------------------------
9 C = 216
C= 24

We know, B+ C= 49
Hence B = 49-24 = 25

Hence, number of Black printer ink cartridges = 25 and color printer ink cartridges = 24.

PLEASE HELP M IN THE MIDDLE OF A TEST
A rock is thrown upward with a velocity of 12 meters per second from the top of a 25 meter high cliff, and it misses the cliff on the way back down. When will the rock be 3 meters from ground level? Round your answer to two decimal places.

Answers

Answer:

find t when

25 + 12t - 5t^2 = 3

using g=10 (easier than using 9.81)


I need help ASAP!!!!

Answers

Answer:

r=5

Step-by-step explanation:

25^3 = 15626

-5^3 = -125

5^3 = 125

15^3 = 3375

Answer:

R=5

Step-by-step explanation:

You first have to find the cube root

The cube root of 125 is 5

r=5

Worth 20 points

Please answer these all in a fraction form! :) <3 ily all have a AMAZING day.

1. 1/8 ÷ 3/4 = ?
2. 3/5 ÷ 3/2 = ?
3. 4/1 ÷ 2/3 = ?
4.9/4 ÷ 6/5 = ?
5.22/4 ÷ 2/5 = ?​

Answers

Answer:

1. 1/8 ÷ 3/4 = 1/6

2. 3/5 ÷ 3/2 = 2/5

3. 4/1 ÷ 2/3 = 6

4.9/4 ÷ 6/5 = 15/8

5.22/4 ÷ 2/5 = 261/80

Step-by-step explanation:

Hope this Helped

If /Il m, what is the value of x?

Answers

Answer:

x= 137 hope it helps have a nice day

Answer:

137

Step-by-step explanation:

180-43 (these two angles plug into all the angles)





If 2.5 kg of tomatoes cost $8.25, how much will you pay for 7 kg?

Answers

Answer:

$2.10

Step-by-step explanation:

first we want to find for one kg. one kg is $0.30.

Multiply that by 7 and you get $2.10

Answer:

$23.10

Step-by-step explanation:

8.25 ÷ 2.5 = 3.3

7 x 3.3 = 23.10

you have to find out how much money you pay per kg

you pay $3.30 per kg

therefore you have to multiply the kg (7) by the price (3.30) and that's why you get $23.10

hope this helps :)

Jolyn was paid $340 last week working 17 hours. What was Jolyn’s hourly pay? Do not include the units in your answer

Answers

Answer:

20

Step-by-step explanation:

It is mentioned that Jolyn made $340 in 17 hours last week. In order to evaluate this, you'll have to divide the money earned by the hours worked.

[tex]\frac{340}{17} =20[/tex]

Therefore, Jolyn makes $20 an hour as 20 x 17 = 340 which is correct,

HELP!
What is the determinant of [-4 3, -7 6]?

a. -24
b.-3
c. 3
d.45

Answers

Answer:

-3

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

(3/4 - 1/5) ÷ (5/2 - 1/3) xfa ayuda con procedimiento rapido​

Answers

Answer:

33/130

Step-by-step explanation:

3/4 - 1/5 = 11/20

5/2 - 1/3 = 2 and 1/6

11/20 divided by 13/6 = 33/130

Which ratio represents the number of orders for pepperoni pizza to cheese pizza?4:5 5:4 StartFraction 10 Over 8 EndFraction StartFraction 18 Over 10 EndFraction

Answers

Answer:

well cheese is better ;)

Step-by-step explanation:

Heres the picture, thank you!

Answers

Leg * /2 = hypotenuse
Hypotenuse divided by /2 = leg

12 divided by /2

Rationalize denominator:
12 * /2 divided by by /2 * /2

Simplify denominator:
12 * /2 divided by 2

Simplify:
6 * /2 or 4.24

Both x and y because it’s a 45-45-90 triangle

Answer:

x = 6√(2)x = 6√(2)y = 6√(2)

Step-by-step explanation:

Sides equal opposite to equal angles are always equal -----------<1>If one angle of triangle is 90°, then it is a right triangle, can find sides with the help of Pythagoras Theorem. -----------<2>The sum of all three sides of any triangle is 180°. -----------<3>

Given angles of triangle = 45° + 45° + 90° {from <3>}

x = y {because of <1>}

→ H² = P² + B² (Pythagoras Theorem) {from <2>}

→ (12)² = x² + y²

→ 144 = x² + x² [x = y]

→ 144 = 2x²

→ 144/2 = x²

→ 72 = x²

→ √(72) = x

→ 6√2 = x

→ x = y

so,

x = 6√2 = y

x = 6(2)y = 6(2)

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

How do you plot 74.7284 on a base-10 number line?

Answers

Step-by-step explanation:

About between of 70 and 80.

URGENT HELP 30 POINTS

Answers

Answer:The answer is  pride 5

Step-by-step explanation:

What is the solution of the equation 5* - 1 = 45? Round your answer to the nearest ten-thousandth.

Answers

What does the * mean

Answer:

The answer is 3.3652

Step-by-step explanation:

Find the number in the thousandth place  

5

and look one place to the right for the rounding digit  

2

. Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

.

3.365

how do I find "Z"? of possible can you do a step by step?​

Answers

Answer:

z = 7.5

Step-by-step explanation:

Polygon ABCD and polygon EFGH are similar, therefore, their sides would be proportional to each other. This means the ratio of their corresponding sides would be equal to each other.

BC corresponds to FG

CD corresponds to GH

Therefore:

8/6 = 10/z

4/3 = 10/z

Cross multiply

4*z = 10*3

4z = 30

4z/4 = 30/4

z = 7.5

Other Questions
What is the value of j? ordena los siguientes textos 1. Mlaga esta una ciudad bastante bonita, se lo puede comprobar en su famosa catedral, esta catedral esta la ms bonita que yo veo en Espaa! Me gusta mucho la playa y comer me en los chiringuitos los sardinos y coger el sol tumbada en la arena! Mi he estado viviendo durante cuatro meses en la ciudad porque yo era de Erasmus! Y ahora hay pena de abandonarme la ciudad! 2. Tengo un pendiente por hacer demasiados ejercicios, come en el colegio la profesora todas las maanas pregunta los ejercicios, yo lo hare ahora. 3. Probablemente tengo que ir maana a la caza de verano con mi padre, yo dicho le que est muy bueno el tiempo para ir esta semana al fin pero que prefiero ir el prximo, porque duele me la cabeza. 4. 4. El da pasado me fui a la iglesia y estuve rezando por mis pescados. 5. Gracias muchas por tener tenido este detalle conmigo. 6. Despus de llegar al campus, me fui a mi habitacin y deshice el equipaje. Nunca he sabido por qu mis padres se compraron aquel coche.7. Los nios se alegraron al abrir los regalos que estaban junto al rbol de navidad. Las clases estaban acabando y ya tenan ganas de que llegaran las navidades. 8. Hay varias ideas en que se defienden en el libro. La obra es una crtica feroz contra la globalizacin. Mr. Martin is giving a math test next period. The test, which is worth 100 points, has 29 problems. Each problem is worth either 5 points or 2 points. Write a system of equations that can be used to find how many problems of each point value are on the test.Let x be the number of questions worth 5 points and let y be the number of questions worth 2 points 4. A weightlifter raises a mass mat a constant speed to a height h in time t. Which of the followingexpressions corresponds with the work done by the weightlifter?a. mghb.-mghC. mgh/td. -mgh/ 7. How does S.E. Hinton use the burning of the church to develop the theme ofthe story? * Hi, could someone solve this parametric system? 7+4y 5z = 23 +5y +kz = 4X+ky +7z = k 185.30 divided by 357.25 acceleration greater than 1,000 m/s2 lasting for at least 1 ms will cause injury. Suppose a small child rolls off a bed that is 0.63 m above the floor. If the floor is hardwood, the child's head is brought to rest in approximately 1.8 mm. If the floor is carpeted, this stopping distance is increased to about 1.3 cm. Calculate the magnitude and duration of the deceleration in both cases, to determine the risk of injury. Assume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate. hardwood floor magnitude m/s2 hardwood floor duration ms carpeted floor magnitude m/s2 carpeted floor duration ms g Plz help... answer this question! After visiting several automobile dealerships, Richard selects the car he wants. He likes its $20,000 price, but financing through the dealer is no bargain. He has $4,000 cash for a down payment, so he needs a loan of $16,000. In shopping at several banks for an installment loan, he learns that interest on most automobile loans is quoted at add-on rates. That is, during the life of the loan, interest is paid on the full amount borrowed even though a portion of the principal has been paid back. Richard borrows $16,000 for a period of four years at an add-on interest rate of 11 percent.a. What is the total interest on Richard's loan? Total interest b. What is the total cost of the car? Total cost c. What is the monthly payment? Monthly payment In the period 1750-1900, the economies of numerous states in Europe, North America, and Asia underwent industrialization. Develop an argument that evaluates the extent of economic change that the process of industrialization brought to Asia. The following are the transactions of Spotlighter, Inc., for the month of January:a. Borrowed $5,540 from a local bank on a note due in six months.b. Received $6,230 cash from investors and issued common stock to them.c. Purchased $2,600 in equipment, paying $1,000 cash and promising the rest on a note due in one year.d. Paid $1,100 cash for supplies.e. Bought and received $1,500 of supplies on accountRequired:Prepare a classified balance sheet for Spotlighter, Inc., as of January 31. WILL GIVE 100 BRAINLY POINTS InstructionsSarahs neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three sharks teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.Sarah can use the expression 5(2j + 3 + j) to represent the amount of money she can earn.Part 1: Writing Expressions: 25(10j + 18 + 5j)Write an expression that looks like Sarahs expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarahs expression but is not equivalent.Translate the algebraic expression you created in Question 1 to a verbal expression.Twenty five times the sum of ten j plus 3 plus jPart 2: Writing Equivalent Expressions You will now use mathematical properties to create two expressions that are equivalent to the expression you created in Question 1. Make sure you show all steps in your work.Using commutative property of addition, the expression in question 1 can be rewritten as follows:25(10j + 18 + 5j) = 25(10j + 5j + 18)Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:25(10j + 18 + 5j) = 250j + 450 + 125jUse either the commutative property or combine like terms to create an equivalent expression.Use the distributive property to create an equivalent expression.Pick a number from 1 to 10. Use that number to verify your three expressions (the original, the one from 3a, and the one from 3b) are equivalent by substituting it into each expression. Show all your work for complete credit.Part 3: Finish the StoryWrite a few sentences to end Sarahs story. How many shark teeth did she find? How many shark teeth did John find? How much money did Sarah earn?Choose a method to present your assignment. You may submit your work in a Word Document or you may choose to develop a PowerPoint presentation or video recording of yourself. Use your creativity! Make sure to include the information from all three parts in your Word Document or presentation. 1.what time do you usually have lunch? Qu(escoger) Fran? (1PLEASE LET ME KNOW IF ANY MARKS GO OVER LETTERS can someone do this all of it 1. How do your respiratory and excretory systems interact?A. Lungs release oxygenC. Lungs release carbon dioxideB. Kidneys clean your bloodD. The large intestine absorbs water2. How do your digestive and circulatory systems interact?A. Your skull protects your brainB. The large intestine absorbs waterC. Blood carries carbon dioxide to the lungsD. Blood absorbs nutrients from the small intestine write the equation of this line in y= mx + b form: 2) Of 320 million people in the United States, about 224 million take at least one type of prescription drug. What percent take at least one type of prescription drug?Please show work What role did photographic plates play in the discovery of radioactivity?