A bird fountain is located 6 m from the base of Joey's apartment building. From his window, Joey can see it at a 51° angle of depression.


To the nearest tenth of a meter, how far up the building is Joey's window?


Question 5 options:


4.9 m



7.4 m



7.7 m



9.5 m

Answers

Answer 1

Answer:

h = 7.4 m

Step-by-step explanation:

Given that,

A bird fountain is located 6 m from the base of Joey's apartment building.

The angle of depression is 51°.

Let Joey's window is at a distance of h from the building. Using trigonometry to find it such that,

[tex]\tan\theta=\dfrac{h}{6}\\\\\tan(51)=\dfrac{h}{6}\\\\h=6\times \tan(51)\\\\h=7.4\ m[/tex]

So, the correct option is equal to (b).

Answer 2

Answer: 7.4 m

Step-by-step explanation:

I just took the test


Related Questions

Last one, Estimate the perimeter and the area of the shaded figure


Show how u got it please.

Answers

Answer:

13 and a half

Step-by-step explanation:

I just counted the squares bro

WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

So, Start with the formula

V= pi ×R² × H

V= pi × 9² × 2

V= pi × 81 × 2

V = 162 pi in³

Then ×2 = 342 in³

required volume =162π or 508.94or 509in³

Answer:

solution given:

radius (r)=9in

height(h)=2 in

we have

volume [V]=πr²h=π×9²×2=162π or 508.94in³

The expression 5x^2 + 25x + 70 can be used to estimate the height, in
meters, of a toy rocket x seconds after it is launched from a platform.
How many seconds does it take the rocket to hit the ground?

Answers

Answer:

Hence x is 7 seconds

Step-by-step explanation:

hope this helps

PLEASE SOLVE THIS! I will give you brainliest.

Answers

Answer:

657in squared

Step-by-step explanation:

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

On the Federal Job site it states that at a 90% confidence level that the true population mean salary of High School Mathematics teachers in Bergen County New Jersey is between $52,000 and $108,000 per year. 9) I am offered a job as a High School Mathematics teacher in Dale county Florida. The salary they offer is $48,000 a year. Can I make any conclusions based on the confidence interval

Answers

Answer:

Option c (I cannot........Florida) is the appropriate response.

Step-by-step explanation:

The given statement of query seems to be incomplete. Please find the attachment of the complete problem below.

Throughout New Jersey, the Federative Recruitment agency informs you of the average wage of mathematics in high schools.Unless you're in Florida and therefore don't know concerning Dale County Florida wages, this same work you've been given is well beyond the area whereby you know the compensation of teachers or instructors, you can't make any view.

The other three given alternatives aren't related to the question. Thus option c is the correct one.

The rectangular prism below has a width of 5cm a length of 7cm and a height of 4 cm what is the surface area of this rectangular prism

Answers

Answer:

Step-by-step explanation:

multiply length x width times hight

Kevin wants to buy a cow but can't afford
the $36 it costs. Later in the year it is at an
affordable $9 and Kevin can buy it. What
percentage of a discount was on the cow?

Answers

Answer:

25%

Step-by-step explanation:

I need a tutor please

Answers

Answer:

Ok I can help!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

SIMPLE QUESTION! Multiply 3x^2(5x^3)

Answers

Answer:

15x^5

Step-by-step explanation:

That's the answer I got im pretty sure it correct

on a separate sheet of paper, calculate each of the individual values indicated in the table. record those values in the table below(please answer ASAP)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The table is filled in below.

To compute the square of the length of a sloped side, you need to sum the squares of the rise and the run. For example, the square of the length of 'a' in triangle F is ...

  a² = rise² + run² = 1² +2² = 1 +4 = 5

__

Additional comment

When computing the slopes of the various triangle sides, you need to pay attention to the sign of the "rise" for a positive "run."

For the distance purpose here, the rise and run are squared, so their signs are irrelevant. You can treat them all as positive numbers.

Please help me immediately... i need help
Tory sold 50 balloons for School Spirit Day. He raised $37.50. He wrote this equation to show how much he charged for each balloon.

= 37.50

What mistake did Tory make in writing his equation? What is a correct equation and its solution?
A. He divided b by 50 instead of by 37.50. A correct equation is = 50. Its solution is $1,875.
B. He divided b by 50 instead of dividing 50 by b. A correct equation is = 37.50. Its solution is $1.33.
C. He divided b by 50 instead of multiplying b by 50.A correct equation is 50b = 37.50. Its solution is $0.75.
D. He divided b by 50 instead of setting up a proportion. A correct equation is = . Its solution is $1,875.

Answers

Answer:

Answer is C $0.75

Step-by-step explanation:

50b = 37.50

divide both sides by 50

50 cancels out b is by itself.

37.50 divide by 50= 0.75

The mistake Tory made is he divided b by 50 instead of multiplying b by 50. A correct equation is 50b = 37.50. Its solution is $0.75.

What does division mean?

Division is a mathematical operation that involves the grouping of  a number into equal parts using another number. The sign used to denote division is ÷.

The equation that represents the total amount raised: total balloons sold x cost of one balloon

b x 50 = 37.50

b = 37.50/ 5-

b = $0.75

To learn more about division, please check: https://brainly.com/question/13281206

I need this equation in standard form

Answers

Answer:

-2x + y - 1 = 0

Step-by-step explanation:

Standard form is Ax + By + C = 0

2x + y = -19 indeedddddddddddddddddddddddddddddd

How did the North or South benefit from this difference

Answers

Answer:

Can i get an image of thw question please?

Step-by-step explanation:

North

The northern soil and climate favored smaller farmsteads rather than large plantations. Industry flourished, fueled by more abundant natural resources than in the South, and many large cities were established (New York was the largest city with more than 800,000 inhabitants). By 1860, one quarter of all Northerners lived in urban areas. Between 1800 and 1860, the percentage of laborers working in agricultural pursuits dropped drastically from 70% to only 40%. Slavery had died out, replaced in the cities and factories by immigrant labor from Europe. In fact an overwhelming majority of immigrants, seven out of every eight, settled in the North rather than the South. Transportation was easier in the North, which boasted more than two-thirds of the railroad tracks in the country and the economy was on an upswing.

Far more Northerners than Southerners belonged to the Whig/Republican political party and they were far more likely to have careers in business, medicine, or education. In fact, an engineer was six times as likely to be from the North as from the South. Northern children were slightly more prone to attend school than Southern children.

South

The fertile soil and warm climate of the South made it ideal for large-scale farms and crops like tobacco and cotton. Because agriculture was so profitable few Southerners saw a need for industrial development. Eighty percent of the labor force worked on the farm. Although two-thirds of Southerners owned no slaves at all, by 1860 the South's "peculiar institution" was inextricably tied to the region's economy and culture. In fact, there were almost as many blacks - but slaves and free - in the South as there were whites (4 million blacks and 5.5 million whites). There were no large cities aside from New Orleans, and most of the ones that did exist were located on rivers and coasts as shipping ports to send agricultural produce to European or Northern destinations.

Only one-tenth of Southerners lived in urban areas and transportation between cities was difficult, except by water.  Only 35% of the nation's train tracks were located in the South. Also, in 1860, the South's agricultural economy was beginning to stall while the Northern manufacturers were experiencing a boom.

A slightly smaller percentage of white Southerners were literate than their Northern counterparts, and Southern children tended to spend less time in school. As adults, Southern men tended to belong to the Democratic political party and gravitated toward military careers as well as agriculture.

im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points....

Answers

Answer:

D

Step-by-step explanation:

1/12 X 110 = .0833333333 x 110 = 9.16

D. 9

Step-by-step explanation:

110÷12 = 9.1 however just round down to 9

since there are 12 equal pieces of the pie graph you would also count yellow and not exclude it

What is the effect on the graph of the function f(x) = [xl when f(x) is changed to f(x + 9)?
Plzz

Answers

Answer:

when y or f(x) equals x then it's a straight line at the origin. if f(x+9) = |x|

f(x) = |x+9|

if you set that equal to zero then X= -9

so shifting over to the left is the right choice

Step-by-step explanation:


there is less customer to the organization. Use the six steps in decision making process to solve the
problem in the organization?​

Answers

Answer:

Step 1: Define Desired Outcomes and Actions. ...

Step 2: Endorse the Process. ...

Step 4: Develop Alternatives or Options. ...

Step 5: Evaluate, Select, and Refine Alternative or Option. ...

Step 6: Finalize Documentation and Evaluate the Process.

Step-by-step explanation:

Consider the right triangle shown. Which statements are correct?

Answers

C, D, and E

hope this helps

What is area?


The space inside a circle.


The distance across a circle.


The distance around a circle.

Answers

Answer:

The space inside a circle

Step-by-step explanation:

3 sin 0 = 3 cos 20
what is the solution set?

Answers

Answer:

Step-by-step explanation:

3 sinθ=3 cos 2θ

sin θ=cos 2θ

sinθ=1-2sin² θ

2sin²θ+sin θ-1=0

2sin²θ+2sinθ-sinθ-1=0

2sin θ(sin θ+1)-1(sin θ+1)=0

(sin θ+1)(2 sin θ-1)=0

sin θ=-1=-sin 90=sin (180+90)

θ=270

or sin θ=1/2=sin 30,sin (180-30)

θ=30,150

solution set is {30,150,270}

Alguien que hable español??​

Answers

Yo ablo español. Que tal ?

If I paid $2.50 in taxes on a $45 item, what percentage rate of taxes did I pay?

Answers

Answer:

47.05

Step-by-step explanation:

12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#

Explain how you can decide whether the equation represents the graph. What can you do to the equation to make it a better fit for the graph? What equation would fit better?

Melvin wrote the equation 푦 = (푥 + 3)(푥 + 1)(푥 − 2) 2 to represent the graph at right.

Answers

Answer:

O

Step-by-step explanation:

The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.

Answers

Answer: The actual distance is 6 km

Step-by-step explanation: If you do a conversion from 1 cm to 20 km in fraction form, you will have

[tex]\frac{1cm}{20km} = \frac{0.1cm}{km ?}[/tex]

So, if you solve for km, you will get 6 using cross multipulcation

Which is NOT true?
+
A.
5 + 14 = 20.- 1
B.
9 + 5 = 7 + 7
15 = 4 + 11
D.
15 - 9 = 9-4
What’s the answer

Answers

Answer:

D. 15 - 9 = 9-4

Step-by-step explanation:

Thank You :3

Answer:

D

Step-by-step explanation:

The volume of a sphere depends on its radius, so the volume is a function of the radius. If this function is called V(r), use the formula below to compute V(4), the volume of a sphere with a radius of 4 units.

Answers

Answer:

the volume of a sphere with a radius of 4 units.

=4/3πr³=4/3×π×64 is your answer

Will give brainliest if anyone helps me with this one.
TILES A box of colored tiles contains 4 red tiles, 3 orange tiles, and 2 blue tiles in random order. Tiles are selected at random from the box. The desired pattern is:
red, red, orange, blue, orange, red, blue, orange, red

If you selected a permutation of these tiles at random, what is the probability that they would be chosen in this sequence?

A.1/1260
B.1/630
C.1/315
D.1/2520

Answers

Answer:

Step-by-step explanation:

i believe the answer is a

Write 0.896146 to 2 significant figures.​

Answers

The correct answer is somewhere

A savings account starts with $231 25. After 8 years of continuous compounding at an
interest rate the account has $1850.
What is the interest rate percentage?
Round the answer to the nearest hundredth.
Enter your answer in the box

Answers

Answer:

87.5%

Step-by-step explanation:

Took the k12 math test

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate of 87.5% the account has $1850.

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

Compound Interest = P(1+r/n)^rt

A savings account starts with $231 25. After 8 years of continuous compounding at an interest rate the account has $1850.

Compound Interest = P(1+r/n)^rt

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}[/tex]

[tex]\rm 1850 = 231 25 (1 + r/12)^{96}\\\rm 1850 /231 25 = (1 + r/12)^{96}[/tex]

r = 87.5%

Thus, the interest rate percentage is 0.87 rate per year.

Learn more about interest;

https://brainly.com/question/4128149

What information does a supply schedule provide?
A. It shows supply for different products at different prices.
B. It shows the supply for a product at a single price point.
C. It shows the supply for a product at various prices.

Answers

C. It shows the supply for a product at various prices.

Hope it helps. Give me brainliest please

Answer:

c

Step-by-step explanation:

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