Two girls are standing 100 feet apart they both see a beautiful seagull in the air between them the angles of elevation from the girls to the bird are 20 degrees and 45 degrees respectively how high up is the seagull

Answers

Answer 1

Answer:

[tex]26.68\ \text{feet}[/tex]

Step-by-step explanation:

a = 100 feet

[tex]\angle B=20^{\circ}[/tex]

[tex]\angle C=45^{\circ}[/tex]

[tex]\angle A=180-(20+45)=115^{\circ}[/tex]

From sine rule we have

[tex]\dfrac{\sin B}{b}=\dfrac{\sin A}{a}\\\Rightarrow b=\dfrac{\sin B}{\sin A}a\\\Rightarrow b=\dfrac{\sin 20^{\circ}}{\sin 115^{\circ}}\times 100\\\Rightarrow b=37.73\ \text{feet}[/tex]

[tex]\sin C=\dfrac{h}{b}\\\Rightarrow h=b\sin C\\\Rightarrow h=37.73\times \sin 45^{\circ}\\\Rightarrow h=26.68\ \text{feet}[/tex]

The is seagull is [tex]26.68\ \text{feet}[/tex] above the ground.

Two Girls Are Standing 100 Feet Apart They Both See A Beautiful Seagull In The Air Between Them The Angles

Related Questions

A watering can contained 5 ½ quarts water. After all the plants were watered, only 4 cups remained.

How many cups of water were used to water the plants?


7 cups

18 cups

40 cups

84 cups

Answers

Answer: 18 cups

Step-by-step explanation:

Answer:

the answer is 18 cups :))

a baseball team played 32 games and lost 8 . Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. what fraction of the games did the team win? and how many games did Katy play catcher

Answers

Answer:

17

Step-by-step explanation:

what you have to is simple, first do 32-8 which get you 24, thats how many they won. Then do 8x1/4 to get 2, she played 2 games as catcher and lost, then do the same thing with the winning games. 24x5/8 should get you 15. she played 15 games as catcher and won. then do 15+2 to get 17.

hope that helps!

Answer:

1/4 - won

7/8 - katy played catcher

hope this helps you :)

Isolate the y-variable in the equation 2x + y = 7.
Answer please like ASAP

Answers

Answer:

y=-2x+7

Step-by-step explanation:

You just subtract 2x from both sides to get y alone

Answer:

2x + y = 7

y = 7 -2x

Step-by-step explanation:

what is the inequality for more than 100,000

Answers

Answer:

>100,000

Step-by-step explanation:

Pop smoke I’m the one they wanna meet 1

please check answer!

Answers

what answer do we need to check?

Megan and Devon are working together in science class to build a terrarium for an herb garden. The plan for the terrarium, with some dimensions in centimeters (cm), is shown here. What is the volume of the terrarium?



27,000 cubic centimeters because 30 x 30 x 30 = 27,000


54,000 cubic centimeters because 30 x 30 x 60 = 54,000


81,000 cubic centimeters because 30 x 30 x 30 + 30 x 30 x 60 = 81,000


48,600,000 cubic centimeters because 30 x 30 x 30 x 30 x 60 = 48,000,00

Answers

Answer:

The answer would be 81,000

Step-by-step explanation:

Answer:

The answer is 81,000

Step-by-step explanation:

If you multiply 30x30x30+30x30x60=81,000

Given the isosceles trapezoid below, find AG.
Show all the work

Answers

We know the width of the rectangle in the middle of the trapezoid is 24 (from the top of the image), so we can subtract that from the bottom width of the trapezoid to get the combined length of the bottom of both triangles.

[tex]40 - 24 = 16[/tex]

Since this is an isosceles trapezoid, both triangle bases are the same length, so we can cut this value in half to get the length of [tex]GT[/tex] and [tex]EF[/tex]

[tex]\frac{16}{2} = 8[/tex]

Finally, we can use the Pythagorean Theorem to find the length of [tex]AG[/tex]:

[tex]AG^{2} + GT^{2} = AT^{2}[/tex]

[tex]AG^{2} + 8^{2} = 10^{2}[/tex]

[tex]AG^{2} + 64 = 100[/tex]

[tex]AG^{2} = 36[/tex]

[tex]AG = 6[/tex]

Use the information to answer the following question. Ms. Huynh spent $640 to stay in a hotel for four nights. Each night she spent x dollars on the hotel room as well as a $15 parking fee per day. The equation represents the total amount, in dollars, that Ms. Huynh spent on her hotel. 4(x + 15) = 640 How much money did the hotel room cost for one night, excluding the parking fee? A. $163.75 B. $145.00 C. $175.00 D. $156.25

Answers

Answer:

B. $145.00

Step-by-step explanation:

4(x+15)= 640

or, 4x+60=640

or, 4x = 640-60

or, 4x = 580

or, x = 580/4

x= 145

simplify the algebraic expression!!

Answers

Answer:

[tex]\frac{y^{3}}{2z^{7}}[/tex]  

Step-by-step explanation:

1. Move  z^ − 3  to the denominator using the negative exponent rule  b ^− n = 1/ b ^n

2. Multiply  z ^4  by  z ^3  by adding the exponents.

3. Cancel the common factor of  4  and  8

4. Cancel the common factor of  x^2

Answer:

[tex]\frac{y^{3} }{2z^{7} }[/tex]

Step-by-step explanation:

Brenda's car averages 375 miles for each 15 gallon tank of gas. How many tanks of gas
will she use on an 1125 mile road trip?

Answers

Answer:

3

Step-by-step explanation:

We know that she uses one tank of gas every 375mi, so we can just divide.

1125 / 375 = 3

To check our work we can just multiply.

375 x 3 = 1125.

So she uses 3 tanks on the trip. I hope this helps :)

What is the volume of the following rectangular prism?

Answers

i am pretty sure it is 16

3, 12, 22, 33, 45, 58, 72, ?

Answers

Answer:

Step-by-step explanation:

So this is a quadratic sequence.

3, 12, 22, 33, 45, 58, 72

 9   10   11    12   13   14  

9, 10, 11, 12, 13, 14

 1    1    1    1    1

This means the next one must be 15 so

3, 12, 22, 33, 45, 58, 72, x

 9   10   11   12   13   14   15

x= 72+15

x= 87

You spin the spinner shown below once
The spinner has 4 equal sectors colored pink, purple, blue, and green
What is the probability of landing on Blue?

Answers

Answer:

1/4

Step-by-step explanation:

there are 4 colors meaning each one has a 1/4 chance

PLEASE HELP I WILL GIVE BRAINIEST. What is the range?

Answers

Answer:

range= 8

Step-by-step explanation:

to find range> subtract highest number to the lowest

so 10- 2= 8

Can someone please answer this ASAP

Answers

Answer:

2x^2+3x^4+1

Step-by-step explanation:

a trinomial  is composed by three monomials.

So only A and B can be correct

the degree of a polynomial is the same of the monomial that compose it with the biggest degree

so the answer is B because the monomial with the biggest degree is 3x^4 (its degree is 4)

If me and my husband want to save 75000 over the next 13 years and I make 25 dollars and hour and he makes 12 dollars an hour how do I write this in a word problem involving a system of equations

Answers

Answer:

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When they work the same duration, the time the husband and wife works is approximately 2,071 hours each

When they contribute the same amount, the wife, works for x = 1,500 hours, while the husband works for y = 3,125 hours

Step-by-step explanation:

The amount the couple intends to save in 13 years = $75,000

The amount the wife makes  per hour = $25

The amount the husband makes per hour = $12

The number of working hours in 13 years is given as follows;

Total number of hours = 40 hr/week × 52 weeks/year × 13 years = 27,040 hours

However, when the husband alone works, we have;

75,000/12 = 6,250 hours

Let 'x' and 'y' represent the number of hours the wife and husband works respectively, we have the following system of equations;

The general form of the equation is;

25·x + 12·y = 75,000

x + y ≤ 6,250

When the couple work equal times

25·x + 12·y = 75,000...(1)

x = y...(2)

From equation (1), we have;

25·x + 12·y = 75,000

25·x + 12·x = 75,000

x = 75,000/37 ≈ 2,071 hours = y

The number of hours each will work is approximately 2,071 hours

When the husband and wife contribute the same amount, we have;

25·x = 12·y = 75,000/2

x = 75,000/(2 × 25) = 1,500

∴ x = 1,500 hours

The number of hours the wife works = 1,500 hours

y = 75,000/(2 × 12) = 3,125

∴ y = 3,125 hours

The number of hors the husband works = 3,125 hours

A diver found a school of fish 85 feet below the surface of the ocean. He found coral 95 feet deeper than the fish. How many feet deep from the surface was the coral?

Answers

Answer:

180 feet

Step-by-step explanation:

85+95=180 because depth + depth.

The total deep 180 feet from the surface was the coral.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that diver found the school of fish 85 feet below the surface of the ocean. Which he found coral 95 feet deeper than the fish.

The total deep from the surface was the coral.

Therefore, it could be;

depth + depth.

85 + 95 = 180

Hence, the total deep 180 feet from the surface was the coral.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ2

Find all of the missing angles, #1-22. pleasssseeee helpppppp

Answers

1 = 53
2 = 115
3 = 107
4 = 73
5 = 115
6 = 66

I’ll do the rest later

Please help!!!!! I’ll mark you as brainliest!!!!!!

Answers

Answer:

The answer is 7440

Answer:

$7740

Step-by-step explanation:

60,000×12,4%=$7740

I need help with my homework

Answers

Answer:

The answers are B, D, and E.

Can someone plz help me with this Math problem and plz explain how you got your answers

Answers

21 cause of x and y on its axis to atoms and protons and electrons

In the figure shown, what is the measure of the indicated angle? ​ °

Answers

Answer:

105 degrees

Step-by-step explanation:

Since there mus tbe 180 degrees in a triangle 180-80=100 and then -25 is equal to 75. since the line is 180 degrees, 180-75 = 105

Solve the following system of equations using Substitution, showing all work.

2x+y=9
3x−2y=17

Answers

Answer:

(x,y)=(5,-1)

Step-by-step explanation:

1. 2x+y=9  ---> y=9-2x

2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.

3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1

Your job as investigator is to determine who caused this accident. Is the driver responsible , or is the farmer responsible? Read the accounts of the accident, and then answer the following questions 1. Why is the driver unhappy? According to the driver, what caused the accident? (4 points)

Answers

The driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

What is stopping distance?

Stopping distance can be defined as a measure of the distance between the time when a driver applies a break to stop a vehicle that is in motion and the time when the vehicle completely comes to a stop.

In this scenario, I would say that the driver is responsible for this accident because if she wasn't moving at a high speed, her stopping distance would be very minimal. Thus, she would be able to bring her vehicle to a stop without colliding with or crashing into the fence, immediately she sighted the cows.

Also, I can deduce that the driver was unhappy because she crashed her vehicle and she strongly feels the farmer should be responsible for repairs.

Read more on drivers here: https://brainly.com/question/26084890

twice the sum of a number and ten

Answers

Answer:

2(x+10)

Step-by-step explanation:

Well since sum is addition and the number and 10 are the sum, let’s make the “number“ (x) and add em up. 10+x.

Now we gotta double that sum which is basically

2(10+x)

Order the numbers from least to greatest.
LEAST
1
8
= 0.13
= 0.12222...
12.7%

Answers

0.122, 0.13, 12.7%, 1, 8

The sum of two numbers is 54 and the difference is 8. What are the numbers?

Answers

Answer:

23 and 31 are the numbers you are searching for.

Step-by-step explanation:

23 + 31 = 54

31 - 23 = 8

Have a nice day!

Using the following data, what is the Interquartile Range? $20, $50, $70, $80, $30, $60, $20, $70, $70, $90

Answers

Answer:

$60

Step-by-step explanation:

sorry if I'm wrong ^-^

Answer:

its 46

Step-by-step explanation:

confused plz help me <3

Answers

Answer: the answer is a

Step-by-step explanation:

Answer:

the answer is A

because translating is just shifting

A spinner has 6 numbers on it, from 1-6, all with equally spaced area. Find the probability of spinning a
Prime number, P(Prime)
Select the correct response.
1
2

5
6

2
3

1
3.

Answers

Answer:

first option 1/2

Step-by-step explanation:

2,3,5 are the prime numbers from that set

each individual number has a 1 in 6 chance of landing on it and we have 3 so...

3 of 6 possibilities would be prime numbers. Simplify to...

1 in 2

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