Use the information and diagram to answer the following question.
An airplane makes a 20° angle of elevation from the runway when it takes off.
The airplane shown is 2.500 feet along the ground from its take-off point.
Take-off point
20
2500 ft
Note: The figure is not drawn to scale.
At what height, h, is the airplane? Round the answer to the nearest foot. Show
your work.

Answers

Answer 1

Answer:

910 ft

Step-by-step explanation:

This question sets up the equation tan20°=x/2,500. Solve for X by multiplying 2,500 on both sides giving you x = 2,500tan20°. Finally, plug that in a calculator and you get 909.92. Round it to the nearest foot and you get 910

Answer 2

The required height where the plane is given as 910 ft, as of the given condition.

Given that,
An airplane makes a 20° angle of elevation from the runway when it takes off. The airplane shown is 2500 feet along the ground from its take-off point.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

here,
base length  = 2500
Angle of inclination  = 20°
let the perpendicular height = h
Now,
tan20° = h / base
h = 2500 [tan20°]
h = 910 ft

Thus, the required height where the plane is given as 910 ft, as of the given condition.

Learn more about trigonometry equations here:

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Related Questions

Factor out the greatest common factor

Answers

Answer:

C

A

B

D

Step-by-step explanation:

Find all values of X,where |x| = 11.​

Answers

Answer:

X = 11 or -11

Step-by-step explanation:

Which statement is represented by the equation 3x +0.6 = 7?

A.The product of 3 and x added to 0.6 is equal to 7

B. The sum of x and 0.6 multiplied by 3 is equal to 7

C.The product of 3 times the sum of x and 0.6 is equal to 7

D.The sum of 3 and x multiplied by 0.6 is equal to 7

Answers

The correct answer is A! :)

Answer:the right answer is a

Step-by-step explanation:

ive done this question

hope it helps

x^2+24x+c

I need help​

Answers

Answer: c=144

Step-by-step explanation:

Can someone help me please

Answers

Answer:

C

B

C

A

B

B

C

Hope this helps!

Four friends are training for long races.

Eduardo ran 5.123 miles, Kandis ran 6.34 miles, Khaliyah ran 7.1 miles, and Moises ran 8 miles.

Khaliyah ran how much further than Eduardo?

Answers

Answer:

1.977

Step-by-step explanation:

line up your decimal points

 7.100

- 5.123  (borrow from 1 to make it 0 and make the 0 to the right of it a 10)

             (now borrow from the 10 to make it 9 and make the other zero a 10)

7.100

- 5.123  (now borrow from 7 to make it 6 and make the 0 to the right of it a 10)

        7   (now borrow from the 10 to make it 9 and subtract the 2)

7.100

- 5.123  (now subtract 1 from 10 and then subtract 5 from 6)

 1.977  

 

Khaliyah ran 1.977 miles further than Eduardo , simply take away 5.123 from 7.1 :)

A student used f(x)=5.00(1.012)^x to show how the balance in a savings account will increase over time. What does the 5.00 represent?

Answers

Answer:

x=0, which represents the savings at the beginning of the savings plan

Step-by-step explanation:

Intercept, when x (the number of years/months) is zero. which represents the savings at the beginning of the savings plan

HELP ME PLEASE, IF I DONT GET THIS DONE I'M GOING TO FAIL

Answers

Answer:

2.7 mpg less than Evan's

Step-by-step explanation:

Riley gets 430.1 / 11 = 39.1 mpg

Evan gets 418 / 10 = 41.8 mpg

41.8 - 39.1 = 2.7

9514 1404 393

Answer:

  2.7, less

Step-by-step explanation:

To find miles per gallon (MPG), divide miles by gallons.

  Riley's car:

     (430.1 mi)/(11 gal) = 39.1 mi/gal

  Evan's car:

     (418 mi)/(10 gal) = 41.8 mi/gal

__

Then the difference is ...

  41.8 -39.1 = 2.7 . . . miles per gallon

We note that Riley's MPG is less than Evan's, so we can write ...

  Riley's car gets 2.7 miles per gallon less than Evan's car.

Researchers in New Zealand interviewed 907 drivers at age 21. They had data on traffic accidents and they asked their subjects about marijuana use. Here are data on the numbers of accidents caused by these drivers at age 19, broken down by marijuana use at the same age:

Marijuana Use per year
1-10 11-50 51+
Never times times times
Drivers 452 229 70 156
Accidents caused 59 36 15 50

Required:
a. Explain carefully why a useful graph must compare rates (accidents per driver) rather than counts of accidents in the four marijuana use classes.
b. Compute the accident rates in the four marijuana use classes. After you have done this, make a graph that displays the accident rate for each class. What do you conclude? (You can’t conclude that marijuana use causes accidents, because risk takers are more likely both to drive aggressively and to use marijuana.)

Answers

Answer:

a)

Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation

b) attached below

Step-by-step explanation:

A) A  useful graph is must compare rates rather than counts of accidents in the four marijuana use classes

Using the rates on a graph is better for reference like saying; that 50 crashes were caused by those who smoke 51+ times and 59 crashes is caused by those who never smoke this statistics makes it seem like smoking has no effect on the amount of accidents

Therefore to compare this data effectively using the rates per driver is better off like for people who do not smoke their rate will be = 59 / 452 = 13.1% while for smokers of 61+ times = 50 / 156 = 32.1% and this rate will show clearly tat more accidents where caused by people who smoked 51+ times hence it should be used for graphical representation

B) accident rate for Non-smokers

 = (59/452) * 100 = 13.05

accident rate for smokers between 1-10 times

= ( 36/ 229 ) * 100 = 15.72

accidents rate for smokers between 11 - 50 times

=  ( 15/50 ) * 100 = 21.42

accidents rate for smokers 51+

 =  ( 50 / 156 ) * 100 = 32.05

attached below is the required graph

how many HOURS are in d days and h hours?!

Answers

Answer:

24

Step-by-step explanation:

because  its 24 gkrjkkmn lol

Write down the next 2 terms of this quadratic sequence:

1, 3, 7, 13, ..., ...

Answers

Step-by-step explanation:

[tex] {n}^{2} + (n + 1)[/tex]

where n starts from 0.

so the answer is :

16+5=21,

25+7= 32

a vendor had 200 balloons for sale .If he sold 125 of them,what percent remains unsold?​

Answers

Answer: 37.5%

Step-by-step explanation:

200-125=75

75 divided by 200 is 0.357

since we need percent so were gonna move the decimal point 2 places so the final answer is 37.5% remain unsold

Use a calculator to do 75 divided by 200 because 75 is the remaining number of balloons. The calculator will say 0.375, or 37.5 %

Please Help 15 points!!!! (Only explain if you want but I suggest you do)Heart rates are expressed as beats per minute (or bpm). Mia knew her resting heart rate was 80 beats per minute. She asked her teacher if she could collect the heart rates of the other students in her class. With the teacher’s help, the other sixth graders in her class found their heart rates and reported them to Mia. The following numbers are the resting heart rates (in beats per minute) for the 22 other students in Mia’s class. 89 87 85 84 90 79 83 85 86 88 84 81 88 85 83 83 86 82 83 86 82 84

Part A:
What fraction of students had a heart rate less than 82 bpm?

Part B:
Half of the students heartrates were below what number?

Answers

Answer:

Part A 2/22=1/11

Part B 85

Step-by-step explanation:

Answer:

Hola amiga no se ablar inglés losiento

-2v⁶
A) quintic monomial B) quadratic monomial C) linear polynomial with six terms D) sixth degree monomial​

Answers

Answer:

D

Step-by-step explanation:

the v has an exponent of 6. thus is is 6th degree (degree is highest exponent in the polynomial). There is one term, hence is it a MON (one) ominal.

Put 'em together and you get:

6th degree monomial.

Have a nice day :)

Daniel scored nine points less than a andre in the basketball game Noah scored twice as many points as Diego if noah scored 10 points how many points did Andre score​

Answers

Andre scored 14 points

Antonio bought a shirt for 1/2 off. He paid $21.75 for the shirt s. Draw a bar diagram to find the original cost of the shirt.

Answers

Answer:

21.75 times 2 is 43.5

Question 3 of 5
Is either x = 5 or x= 15 a solution to 25 – x= 5?
A. x= 15 is a solution, but x = 5 is not.
B. Neither is a solution.
C. They are both solutions.
O D. x = 5 is a solution, but x = 15 is not.

Answers

Answer:

B

Step-by-step explanation:

Neither is a solution because when you subtract 5 from 25 you get 20.

WILL MARK BRAINLY!

Which inequality is true?
1-100 < 50
--50 100
1-100 > 50
4-50 > -100

Answers

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

|-100|>50 because the 100 will be switched to positive so 100>50

The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8).
a.5x + 4y + 43 = 0
c.-15x + 8y = 0
b.8x + -15y = 0
d.5x + 4y = 0

Answers

The answer is b or c

Use the table to write a linear function that relates y to x .

x −2 −1 0 1
y 8 5 2 −1
The linear function is y= ?

Answers

Answer:

The linear function is [tex]y = -3x + 2[/tex]

Step-by-step explanation:

A linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(the value of y when x = 0).

In the table, we have that when x = 0, y = 2

This means that [tex]b = 2[/tex]. So

[tex]y = mx + 2[/tex]

Finding the slope:

We take two points, and the slope is given by the change in y divided by the change in x.

Points (0,2) and (1,-1)

Change in y: -1 - 2 = -3

Change in x: 1 - 0 = 1

Slope: [tex]m = \frac{-3}{1} = -3[/tex]

So

[tex]y = -3x + 2[/tex]

Stella is going to invest in an account paying an interest rate of 7% compounded
continuously. How much would Stella need to invest, to the nearest ten dollars, for
the value of the account to reach $1,650 in 9 years?

Answers

Answer:

$901.64

Step-by-step explanation:

Given data

rate= 7%

Final amount = $1650

time= 9 years

Let us apply the compound interest formula to solve for the Principal amount P

A=P(1+r)^t

substitute

1650=P(1+0.07)^9

1650=P(1.07)^9

1650=P1.84

Divide both sides by 1.84

P=1650/1.83

P=901.64

Hence she needs to invest $901.64

Answer:

880

Step-by-step explanation:

HELP I'M BEING TIMED I WILL GIVE 5 points... a thankyou...5 stars... and a brainliast if correct.



Geoffrey is evaluating the expression StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction as shown below.
StartFraction (negative 3) cubed (2 Superscript 6 Baseline) Over (Negative 3) Superscript 5 Baseline (2 squared) EndFraction = StartFraction (2) Superscript a Baseline Over (negative 3) Superscript b Baseline EndFraction = StartFraction c Over d EndFraction

What are the values of a, b, c, and d?
A. a = 4, b = 2, c = 16, d = 9
B. a = 4, b = negative 2, c = 16, d = 9
C. a = 8, b = 8, c = 256, d = 6,561
D. a = 8, b = 8, c = 256, d = negative 6,561

Answers

Answer:

i think its a or d but im hoorible at math so if its wrong im sorry

Step-by-step explanation:

Answer:

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

Solving the first part of the question by indices,

Comparing the rightmost term with the second term in the question,

a = 4, b = 2

Solving on,

Comparing with the final term in the question,

c = 16 and d = 9

Therefore,

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

If Angela's $98,760 home appreciates three percent a year, what is the appreciated
value in 5 years?

Answers

Answer:

2962.8

Step-by-step explanation:

you wants to divide how much percent into the house in three years then the answer would be

What the other person said about the 5 years and money.

A bakery makes 1,650 cookies in one day. The cookies are put into boxes. A large box contains 24 cookies, and a small box contains 3 cookies. The bakery fills as many large boxes as possible, and then fills as many small boxes as possible.How many small boxes does the bakery fill in one day?​

Answers

Answer:I think ia 18

Step-by-step explanation:

The number of small boxes the bakery fills in a day = 183 cookies.

Calculation of total number of boxes

The total number of cookies the bakery makes in a day =

1,650 cookies.

The number of cookies found in big box = 24 cookies

The number of cookies found in small box = 3 cookies

To find the number of small boxes that was fill would be to share 1,650 cookies in the ratio of 24 : 3

The total amount of cookies each box can hold = 24+3=27

Divide the amount by the total quantity of cookies=

1,650/27 = 61 cookies

Each number of the boxes should be multiplied by one part ; small boxes × 61 cookies

= 3 × 61

= 183 cookies.

Therefore, the number of small boxes the bakery fills in a day = 183 cookies.

Learn more about summation here:

https://brainly.com/question/542712

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A student answered 42 problems on a test correctly and received a grade
of 70%. How many (total) problems were on the test, if all the problems
were worth the same number of points?

Answers

Answer:

Step-by-step explanation:

x is the number of questions on the test.

42/x = 70%

x = 42/70% = 42/0.70 = 60

15 POINTS. Hey yall, I'm having a bit of trouble with this problem. Can someone help, please?

Answers

Perpendicular line I believe

Answer:

they are parallel

Step-by-step explanation;

You would have to get the Y by itself in the bottom one so go

2x-3y=-3

-2x        -2x

-3y=2x-3

_________

-3        -3

_________

y= -2/3x+ 1

and they are the same equaion

so they end up parallel

Find the area of the following shape. You must show all work to receive credit A (-4, 0), B(0, 4), C(2, 2), D(1,0)

Answers

9514 1404 393

Answer:

  13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

a triangle 4 wide and 2 higha trapezoid 2 high with bases 5 and 4

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

  A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

  A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

  (4 +9) square units = 13 square units

Find the value.
3 to the power of 4 = _______

Answers

Answer:

3 * 3 * 3* 3 = 9x3 = 27

27*3 = 81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

3 the power of 4 means 3×3×3×3

so 81

PLZ HELP
I WILLMARKE YOU BRILL

Answers

Answer:

1. Mode = 7

2. Range = 8

Step-by-step explanation:

The following set of data were obtained from the question:

4, 6, 5, 9, 3, 2, 7, 7, 1, 8

Mode =?

Range =?

1. Determination of the mode of the data.

Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:

Scores >>>>>>> Frequency

4 >>>>>>>>>>>> 1

6 >>>>>>>>>>>> 1

5 >>>>>>>>>>>> 1

9 >>>>>>>>>>>> 1

3 >>>>>>>>>>>> 1

2 >>>>>>>>>>>> 1

7 >>>>>>>>>>>> 2

1 >>>>>>>>>>>> 1

8 >>>>>>>>>>>> 1

From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .

2. Determination of the range of the data.

Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:

Highest score = 9

Lowest score = 1

Range = Highest – Lowest

Range = 9 – 1

Range = 8

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is y 0 1 2 3 4 p(y) 0.50 0.20 0.15 0.10 0.05 Suppose an individual with Y violations incurs a surcharge of 100Y 2 . Calculate the expected amount of the surcharge

Answers

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

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