Mathematics Middle School

A bird (B) is spotted flying 900 feet from an observer. The observer (O) also spots the top of a tower (T) at a height of 200 feet. What is the angle of depression from the bird (B) to the observer (O)? (4 points) Right triangle OTB is shown. Side OT labeled 200 and side BO is labeled 900. The angle B is labeled x degrees.

Answers

Answer 1

Answer:

x = 12.52°

Step-by-step explanation:

The illustration forms a right angle triangle . The right angle triangle formed has a height of 200 ft and a base of 900 ft.

The opposite side of the triangle is 200 ft while the adjacent side of the triangle is 900 ft.

Using tangential ratio we can find the angle of depression. Therefore,

Let

x = angle of depression

tan x = opposite/adjacent

opposite = 200 ft

adjacent = 900 ft

tan x = 200/900

tan x = 2/9

x = tan⁻¹ 2/9

x = tan⁻¹ 0.222

x = 12.5166739144

x = 12.52°

Answer 2

Answer:

The answer is x = 12.84°

Step-by-step explanation: I took the test

Related Questions

This is the last oneeee

This is the last oneeee

Answers

Answer:

D

Step-by-step explanation:

It is first rotated 90 degrees clockwise

Then it is translated 6 units up and 4 units to the right

Jada and Lin are comparing inches and feet. Jada says that the constant of proportionality is 12. Lin says it is 1/2. Do you agree with either of them? Explain your reasoning.

Answers

Answer:

i agree with jada

Step-by-step explanation:

i agree with jada because 12 inches are in 1 foot so you need 12 constantly to compare inches and feet

The graph shows y as a function of x. Suppose a point is added to this graph. Which choice gives a point that preserves the function?
A (0, 9)(0, 9)
B (2, −4)(2, −4)
C (9, −1)(9, −1)
D (3, 5)

The graph shows y as a function of x. Suppose a point is added to this graph. Which choice gives a point

Answers

Answer:

A

Step-by-step explanation:

the other points have this problem : an x value has two y values so if added the graph will not  represent a function

Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.

1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6

Brainlist for positive attitude and correct answer :D

Answers

Answer: The correct answer is:

Probability of rolling a number less than 3: 2/6 or 1/3

Step-by-step explanation:

Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.

Probability of not rolling a number less than 3: 4/6 or 2/3.

Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D

2/6 1/3 someone already beat me to it but that’s ok bro hope I can be a help

Which value(s) from the set {5,7,9,11,13} make the inequalty w-4<8 true?

A. {5,7,9,11}
B. {11,13}
C. {13}
D. {5,7,9}

Answers

Answer:

5 7 9 11

Step-by-step explanation:it took me a little plz give me brainlist and a thank u

The answer is A I hope this helped

I NEED THIS RIGHT AT THIS MOMENT ASAP PLS!!!!!!!!!!!!!!

I NEED THIS RIGHT AT THIS MOMENT ASAP PLS!!!!!!!!!!!!!!

Answers

To find the value of x for which the line passing through points F(3-2x, 12) and G(x + 9, 7) is vertical, we need to determine when the slope of the line is undefined.

The slope of a line can be calculated using the formula:
slope = (change in y-coordinates)/(change in x-coordinates)

In this case, the change in x-coordinates is (x + 9) - (3 - 2x), which simplifies to 4x + 6.
The change in y-coordinates is 7 - 12, which is -5.

For a vertical line, the slope is undefined, which means the change in x-coordinates must be zero. Therefore, we set 4x + 6 = 0 and solve for x:

4x + 6 = 0
4x = -6
x = -6/4
x = -3/2

So, the value of x for which the line passing through points F(3-2x, 12) and G(x + 9, 7) is vertical is x = -3/2.
Yes it is correct asap

i need help with this question please help me

i need help with this question please help me

Answers

Answer:

The answer is D.

Step-by-step explanation:

y = mx + b

C = 5/9 (F - 32)

C = 5/9F - 5/9 (32)

Option (D) is correct.

Terri opened a bag of jelly beans. After counting and sorting them, she realized that 20% of the jelly beans were red. Which is NOT equivalent to 20%?

A. 0.2
B. 1:5
C. 4/16
(Please Explain)

Answers

Answer:

The answer is C

Step-by-step explanation:

A. 0.2 = 20%

B. 1/5 = 20% / 1 divided by 5 = .2

C. 4/16 = 1/4 = 25% / 1 divided by 4 = .25

The expression not equivalent to the 20% will be 4/16.

What is the percentage?

It is the ratio of two numbers expressed as a decimal of 100 parts. It is a measurement used to compare two sets of data, and it is stated as a percentage using the percent sign. Percentages are often and in many different contexts used.

It is given that the expression is 20%.

We have to find the equivalent value of 20%

Expressions that function identically while having distinct appearances are called equivalent expressions. If two algebraic expressions are equivalent, then they both have the same result when the same value of the variable is entered.

It can be written in different forms as,

=20/100

=1/5

=0.2

Thus, the nonequivalent expression of the % will be 4/16.

Learn more about the percentage here:

brainly.com/question/8011401

#SPJ2

First person to type the ENTIRE lyrics of 100 digits of pi WITHOUT copy and paste (I will know if you copied and pasted) within 10 minutes of this question being up gets brainliest!

Answers

Answer:

sup

Step-by-step explanation:

I don’t know honestly but I get points for answering sooooo

What is the solution of the equation n+13=30 ?

Answers

The answer is 30 right

Answer:17

Step-by-step explanation:

1) 30 -13=17

n=17

Seventh grade

S.6 Solve one-step equations

Solve for u.

u + 32 = 812

u =

Answers

Answer: 780

Step-by-step explanation:

812-32=780

so u = 780

780 is the answer to U

I'm not sure how to solve these types of questions, I need help. Thank you!

I'm not sure how to solve these types of questions, I need help. Thank you!

Answers

Answer:

The x-intercept is (-5, 0).

The y-intercept is (0, 5).

Step-by-step explanation:

To find the x-intercept, we set y = 0 and solve for x:

0 = 5 + x

x = -5

Therefore, the x-intercept is (-5, 0).

To find the y-intercept, we set x = 0 and solve for y:

y = 5 + 0

y = 5

Therefore, the y-intercept is (0, 5).

Answer:

x-intercept is (-5,0)

y-intercept is (0,5)

Step-by-step explanation:

We are given a linear equation and are asked to find the x- and y-intercepts of the equation.

\(\Huge{y=5+x\)

\(\hrulefill\)

What are x- and y-intercepts?

In mathematics, the terms "x-intercept" and "y-intercept" refer to points where a graph intersects the x-axis and y-axis. They are important concepts in the study of functions and graphs.

The x-intercept is the point at which a graph crosses or intersects the x-axis. It represents the value of x when y is equal to zero. In other words, it is the value of x when the function or equation is satisfied with y = 0. The x-intercept is often denoted as (x, 0), where "x" is the x-coordinate of the point.

Similarly, the y-intercept is the point at which a graph crosses or intersects the y-axis. It represents the value of y when x is equal to zero. Geometrically, it is the point on the graph where x = 0. The y-intercept is often denoted as (0, y), where "y" is the y-coordinate of the point.\(\hrulefill\)

(1) - Finding the x-intercept

To find the x-intercept, you set y equal to zero and solve the equation for x.

\(y=5+x\\\\\\\text{Let y=0}\\\\\\\Longrightarrow 0=5+x\\\\\\\Longrightarrow \boxed{x=-5}\)

Thus, the x-intercept is (-5,0).

(2) - Finding the y-intercept

To find the y-intercept, you set x equal to zero and solve the equation for y.

\(y=5+x\\\\\\\text{Let x=0}\\\\\\\Longrightarrow y=5+0\\\\\\\Longrightarrow \boxed{y=5}\)

Thus, the y-intercept is (0,5).\(\hrulefill\)

We can check this answer using a graphing calculator. Simply type in the given function and see were the function crosses each axis. Refer to the attached image.

I'm not sure how to solve these types of questions, I need help. Thank you!

Please help me I'm desperate

Please help me I'm desperate

Answers

The fraction of the whole athletic field that is reserved for each fifth-grade class is given as follows:

1/24.

How to obtain the fraction?

The fraction is obtained applying the proportions in the context of this problem.

The relevant fractions in the context of this problem are given as follows:

1/6 of the field is reserved the entire fifth grade class.There are four fifth grade classes in the school.

Hence the fraction of the whole athletic field that is reserved for each fifth-grade class is obtained as follows:

1/6 x 1/4 = 1/24.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

A teacher chooses a committee of 5 students
from the class of 25 students. How many
different committees can be chosen?

Answers

Answer: 5 Committees

because 5+5+5+5+5=25

HOPE THIS HELPS

Answer:

5 different committees

Step-by-step explanation:

If each committee has 5 students and there is 25.

25/5=5

PLZ HELP ( ALSO BRAINLY DOT BE STEALING MY PNTS >:c )

PLZ HELP ( ALSO BRAINLY DOT BE STEALING MY PNTS &gt;:c )

Answers

Answer: 56 servings are in one jug of tea.

Step-by-step explanation:

1.  If 16 cups equals one gallon then take 16 cups and multiply it by 3.5 which gives you 56 cups

Answer:

56 servings

Step-by-step explanation:

since there are 8 oz in 1 cup and there are 16 cups in a gallon, then there are 16x8, or 128 ounces in 1 gallon

to find out how many oz are in 3 1/2 gallons we do this → 128 x 3.5

which equals 448 oz

if 1 serving is 8 oz then 448÷8 gives us 56 servings

What is the total area, in square feet, of the shaded sections of the trapezoid below?

What is the total area, in square feet, of the shaded sections of the trapezoid below?

Answers

Answer: 28 square feet

Explanation: To get the area of a triangle, the formula is base×height×(1/2)

First triangle, you would multiply 4.5 by 5 and multiply that by 1/2. 4.5×5×1/2= 11.25 square feet

Then multiply 6.7×5×1/2 to get the area of the second triangle, which =16.75 square feet

Lastly, add the areas together:

11.25+16.75=28 square feet

Pls help i need the answer asap

Pls help i need the answer asap

Answers

Answer:

1) An triangle

2)Area is the same

3) Length times width then times 1/2

4)To find the polygon's area using the circle's measurement you us pi times radius squared(to find the circles area which is the same as the polygon's area)

HOPE THIS HELPS :)

A random sample of 100 people finds that 25 are in favor of a new park. Estimate the total number out of 400 who are in favor of the park.

Answers

100 people.
100 * 4 = 400
25 * 4 = 100

Which algebraic expression represents the phrase Six more than the product of 4 and the number of c cups?
A. (6 + 4)c
B. 6 + 4c
C. 4 + 6c
D. 6 × 4 × c

Answers

the answer is B
the number 4 and letter c get multiplied together because of the use of the word product. that leave the 6 to be added to that

6 + 4c algebraic expression represents the phrase Six more than the product of 4 and the number of c cups.

What is Expression?

An expression is combination of variables, numbers and operators.

We need to find the algebraic expression represents the phrase Six more than the product of 4 and the number of c cups

The phrase Six more than the product of 4 and the number of c cups" can be translated into an algebraic expression as

6 + 4c

more than in the sentence is addition and product is nothing but multiplication.

Therefore, 6 + 4c algebraic expression represents the phrase Six more than the product of 4 and the number of c cups.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ2

Find the average distance of each data value in the set from the mean. Round your answer to the nearest tenth, if necessary.

Find the average distance of each data value in the set from the mean. Round your answer to the nearest

Answers

Answer:

the mean is 2009

Step-by-step explanation:

add them all and divide by how many numbers so in this case divide by 5

Find x in the following (it’s not allrealnumbers, 0, no solutions by the way, i checked)

Answers

find x for whattt, you didn’t include a problem

Heelp faaast
Find the N
2/9 = 14/n
what is it???

Answers

Answer:

n=63

Step-by-step explanation:

have great day :D

n is 63 because you multiply 2 with 7 to get 14 and so you multiply 9 with 7 which gives 63

Please help! This is 6th grade math

Please help! This is 6th grade math

Answers

Answer:

187.5 mi squared

Step-by-step explanation:

17 × 13 = 221 mi

- 8 mi

- 6 mi

- 15 mi

- 4.5 mi

= 187.5 mi squared

the answer to your question 187.5 squared

You have a pizza with diameter 12
2
3 in., and a square box that is 12.65 in. across. Write 12
2
3 as a decimal. Can you fit the pizza inside the​ box?
What is the decimal expansion for 12
2
3​?
A.12.6
B.12.65
C.12.6
D.12.66
pls help me

Answers

Answer:

D is the right choice and no you cannot fit the pizza inside the box.

Step-by-step explanation:

D is the answer because to turn 2/3 into a decimal you would divide 2 by 3 and the answer you would get would be 0.66666666666...You would then add 12 to the answer and get 12.6666... Once you get this answer you would round it to the hundredths to get 12.67 but since that is not an option you could use D, 12.66 inches.

Answer:

I believe the answer is D.

Step-by-step explanation:

GOOGLE

First right BRAINLIEST pls:))

First right BRAINLIEST pls:))

Answers

Answer:

2000000

Step-by-step explanation:

:)

2000000

Hope this is right :D

Write and solve a real-world problem involving a percent of increase with decimals.
Please help and thank you in advance! =)

Answers

Step-by-step explanation:

Here's a real-world problem involving a percent increase with decimals:

Suppose you have a savings account with a balance of $500. The bank offers an interest rate of 2.5% per year. How much will your balance increase after one year, including the interest earned?

To solve this problem, we can use the formula for percent increase:

Percent increase = (new value - old value) / old value x 100%

Let x be the amount of interest earned after one year. Then, the new value of the savings account after one year is:

New value = old value + interest earned

New value = $500 + x

The percent increase is given as 2.5%, which can be written as a decimal as 0.025. Using the formula above, we can write:

0.025 = (New value - $500) / $500 x 100%

Simplifying this equation, we get:

New value - $500 = $500 x 0.025

New value - $500 = $12.50

New value = $512.50

Therefore, the balance of the savings account will increase by $12.50 after one year, which represents a 2.5% increase from the original balance of $500. The new balance will be $512.50.

49755 57866 something like this

Factor and write as a product of 2 factors:
5. 5*4 + 7*4 = (5+7)4
6. x*9 + 4*9
7. r*7 + m*7
8. (x+4) + (x+4) + (x+4)
i will give brainly if you answer question (you could do all of them or not all of them, your choice)

Answers

Download Photomath, it can solve them for u and its 100% correct
Download Photomath it will give you all the correct answers

Help!

The number of cookies that were made at a bakery for each of seven days is shown:

108, 96, 96, 84, 108, 240, and 84


The best measure of center for this data set is the-


A: median because all of the values are close to one another in value


B: mean because all of the values are close to one another in value


C: median because 240 is much higher than the other numbers in the data set


D: mean because 240 is much higher than the other numbers in the data set

Answers

To determine the best measure of center for the given data set, we need to consider the values and their distribution.

The data set is as follows: 108, 96, 96, 84, 108, 240, and 84.

The median represents the middle value when the data set is arranged in ascending or descending order. In this case, when we arrange the data in ascending order, we have: 84, 84, 96, 96, 108, 108, 240. The middle value is 96, which is the fourth value in the sorted data set.

The mean is calculated by summing up all the values and dividing by the total number of values. In this case, the sum of the values is 756 (108 + 96 + 96 + 84 + 108 + 240 + 84), and there are seven values. Therefore, the mean is 756/7 = 108.

Comparing the options:

A: median because all of the values are close to one another in value - This is not accurate as the values vary, and the median is not necessarily the best measure of center based on the values being close to one another.

B: mean because all of the values are close to one another in value - This is not accurate as the values are not all close to one another, and the mean is not necessarily the best measure of center based on the values being close to one another.

C: median because 240 is much higher than the other numbers in the data set - This is not accurate as the presence of a single high value does not automatically make the median the best measure of center.

D: mean because 240 is much higher than the other numbers in the data set - This is the most accurate option. The mean takes into account the magnitude of each value and is influenced by extreme values. The value 240 has a significant impact on the mean, making it a better measure of center in this case.

Therefore, the best measure of center for this data set is D: mean because 240 is much higher than the other numbers in the data set.
The median is the middle number as in lowest to highest

Please help! Screenshot

Please help! Screenshot

Answers

Answer:

B) 13/25

Step-by-step explanation:

P(Potato Chips or Pretzels)

= P(Potato Chips) + P(Pretzels)

= 12/50 + 14/50

= 26/50

= 13/25

B: 13/25

Explanation-
Total=Potato chips + Pretzels

what's the difference between a function and not a function

Answers

I hope it helps......:))

what's the difference between a function and not a function
something that isn’t a function has multiple outputs, something that is a function has 1 for each.
Other Questions
Which of the following explains why the United States declared war on Japan? aThe Battle of Midway bThe Pearl Harbor attack cThe Potsdam Declaration dThe Yalta Conference The points (7,3) and (w,9) fall on a line with a slope of -2. What is the value of w? Draw triangle PQR where PQ has length 4 cm PR has length 3.5 cm and angle RPQ is 32 Which was a direct political change that resulted from the Industrial Revolution?answer choicesa) to spread Christianityb) New labor unions sought political as well as economic influence.c) to modernize the cultures of Asiad) to import Asian slaves to work in western colonies A hose is filling a cylindrical tank at 4 ft3/minute. The tank is 8 feet in diameter and 6 feet tall. How many minutes will it take to completely fill the tank? suppose the measurement of the side of a square is found to be 30 cm with an error of cm. use differentials to estimate the propogated error in computing the area of the square. An exciting activity park for young people is about to be built in your area. Many older people have objected to this this plan. You and your friends are very unhappy about their objection and you decide to write to the local newspaper. two charges q1 and q2 have a total charge of 10 c. when they are separated by 4.2 m, the force exerted by one charge on the other has a magnitude of 8 mn. find q1 and q2 if both are positive so that they repel each other, and q1 is the smaller of the two. (for the universal constant k use the value 8.99 109 n m2/c2.) the sonoran desert is a unique ecosystem in arizona and mexico. what are the two main parts of this ecosystem? if p + 2q = 40 find Q when p = 16 what is one of the most common forms of computer vulnerabilities that can cause massive computer damage? 1. Name and describe three major elements of composition commonly found in Baroque music. I've spent 7 hours looking for the answer but can not find it. Please try to give me references and or answers with the cite to help me What is the area of this figure? Most undocumented immigrants come from which country?(Plato Correct Answer only)A. CanadaB. GuatemalaC. JapanD. Mexico find all value(s) of k for which the system of linear equations has no solution Having a high VO2max would be a primary factor forsuccess in performance lasting:Less than 10 seconds30-180 seconds20+ minutesAll of the above Please answer will thumbs up!!PROBLEM 1: A population consists of the following N=3 scores: 0, 4, 12. Complete the following steps: Step 1: Compute the mean and SD for the population Step 2: Find the z-score for each score in the By 1960, was the capital of Western art As a member of theorganization, you'll have two goals: buildyour real-world business skills and develop your problem-solving abilities.wNational Honor SocietyKiwanis Key ClubDECABusiness Professionals of America standards are used in the control function to compare a.past performance against the budget. b.actual performance with past performance. c.actual performance with other competitors. d.actual performance against the budget.