At the Denver International Airport, planes must clear a mountain that is 1000 feet tall that is a horizontal distance of 2800 feet away. At what angle of elevation must the plane take off in order to safely clear the mountain ? Round your answer to the nearest WHOLE degree.
PLEASE i need help

Answers

Answer 1

Answer:

19 degrees

Step-by-step explanation:

Will have a triangle with horizontal distance being 2800, and vertical being 1000 feet. Angle between the horizontal and hypotenuse is what we are looking for.

Thus it's a tangent function.

SOH

CAH

TOA <-----

Tangent is the opposite / adjacent

So we will be looking at doing an Arctan to find the angle.

Arctan α = [tex]\frac{1000}{2800}[/tex]  = 19.29 degrees. Round to the nearest whole degree would be 19 degrees due to being less than .50

Your answer is 19 degrees


Related Questions


If DEFG is a rectangle,
find the measure of DEG.
how do i do this

Answers

Answer:

It is 68

Step-by-step explanation:

[tex]2x - 10 = x + 6 \\ 2x - x = 6 + 10 \\ x = 16[/tex]

[tex]let \: (y) \: the \: angle \: which \: wanted \\ 90 = y + (2x - 10) \\ 90 = y + (32 - 10) \\ y = 90 - 22 \\ y = 68[/tex]

Thanks alot

A jar with 13 marbles, 2 are red, 1 green, the rest blue.
P(blue) =

Answers

There should be 10 blue marbles in the jar because 2+1-13=10

P=10

Hope this helps :)

What is the percent increase from 40 to 64

Answers

Answer:

60 percent

Step-by-step explanation:

Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.

HELP ME PLZ SURFACE AREA OF A RAMP

Answers

Answer:

i think it 37 square feet

Find the area of the rectangle??​

Answers

The area is 9 sq units because to find the area of a rectangle you multiply base times height. In this case the base is 3 and the height is 3, and 3 times 3 is 9.

A rabbit weighs about 3
3/16
ounces at birth. What is the weight of the rabbit in decimal form?

Answers

Answer:

3.8175

Step-by-step explanation:

Answer:

3.1875

Step-by-step explanation:

3 3/16

3 x 16 = 48

48 + 3 = 51

51/16

51 divided by 16 is 3.1875

How long will it take for $3000 to grow to $11,700 at an interest rate of 6.3% if the
interest is compounded continuously? Round the number of years to the nearest
hundredth.
A) 0.83
B) 2160.28
C) 21.60
D) 2.16

Answers

Answer:

Step-by-step explanation:

Using A=P(1+r/n)^nt

Where,

P = principal amount (the initial amount you borrow or deposit), in this case $3000

r = annual rate of interest (as a decimal), in this case 0.06

t = number of years the amount is deposited or borrowed for, in this case we don't know it

A = amount of money accumulated after n years, including interest, in this case $21000

n = number of times the interest is compounded per year, in this case 12

     This gives us 21,000=3,000(1+0.06/12)^12t

    After simplification, 7=(1.005)^12t

By taking the logarithm of both sides,

                            Log7=Log1.005^12t

                               12t = Log 7/Log 1.005

                               12t =390.1545

          This gives us 32.5months

Someone please help me ASAP

Answers

Given:

The number of alligators in a wildlife is given by the function

[tex]f(x)=3450(1.04)^{x+1}[/tex]

To find:

The average growth rate of change from the 4th year to the 7th year.

Solution:

We have,

[tex]f(x)=3450(1.04)^{x+1}[/tex]

For x=4, we get

[tex]f(4)=3450(1.04)^{4+1}[/tex]

[tex]f(4)=3450(1.04)^{5}[/tex]

[tex]f(4)=4197.4525[/tex]

For x=7, we get

[tex]f(7)=3450(1.04)^{7+1}[/tex]

[tex]f(7)=3450(1.04)^{8}[/tex]

[tex]f(7)=4721.5632[/tex]

Now, the average growth rate of change from the 4th year to the 7th year is

[tex]m=\dfrac{f(7)-f(4)}{7-4}[/tex]

[tex]m=\dfrac{4721.5632-4197.4525}{3}[/tex]

[tex]m=\dfrac{524.1107}{3}[/tex]

[tex]m\approx 174.70[/tex]

Therefore, the average growth rate of the change from the 4th year to the 7th year is 174.70 per year.

Find the value of k please

Answers

You need a graphing calculator or just use an app on your phone (Desmos is a good app to use). I show what to do in the photo below.

and please explain how you got the answer :)

Answers

Answer:

8. 548.9       9.349.3

Step-by-step explanation:

10% of 499 is 49.9

30% of 499 is 3*49.9=149.7

499+49.9=548.9

499-149.7=349.7

6. Which of the following is equivalent to (17m + 3) + (3m - 1)?
A. 14m + 2
B. 14m + 4
C. 20m + 2
D. 20m +4

Answers

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

C

If it is equal to (or) greater than 5, add ___ to previous digit.

(a) 1
(b) 0
(c)10​

Answers

Answer:

(b) 0 is the right answer....

Brainly needs to do something, these kids dating in the comment section of answers is annoying

Answers

Answer:

I know right?

Step-by-step explanation:

Answer:

BRO I KNOW RIGHT? Its so nasty.. and annoying.. and so gross.. u dont know if ur online dating a whole 40 year old man or 50. so gross.

Step-by-step explanation:

HELP IM GIVING 20 POINTS LIKE PLZZ I NEED HELP​

Answers

Answer:

price = 4.1

cost = 12.3

Step-by-step explanation:

price = 0.8+1.2+1.5+0.6 = p4.1

cost = 2.40+3.60+4.50+1.80 = $12.3

Ana and her friends are decorating the gym for a dance. They need 270 balloons. The balloons are only sold un packages. Tere are 50 balloons in each package.

Answers

Answer:

Step-by-step explanation:

270 div

PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!

Answers

Answer:

im not even sure this is right

Step-by-step explanation:

A=a+b 2h=2+1.1

2·3.4=5.27

what is 5×=2.5

please help​

Answers

Answer:

x=2/5

Step-by-step explanation:

Divide:

2 divided by 5 equals 0.4, which is equivalent to 4/10, which simplifies to 2/5.

Multiply to check:

2/5 times 5 equals 2

So x=2/5

1. Oceanside Bike Rental Shop charges $16 plus $6 an hour for renting a bike. Melanie paid $70 to rent a bike. How many hours did she pay to have the bike checked out? Select the correct equation to represent this situation.

A) 16x+6x=70
B) 16+ 6x=70
C) 16x+6=70

2. Jason bought 9 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 42 cards left. How many cards did Jason start with? Select the correct equation to represent this situation.

A) 1/2(x+9)=42
B) 9x+1/2=42
C) 1/2x+9=42

3. Jason sold half of his comic books and then bought 6 more. He now has 17. How many did he begin with? Select the correct equation to represent this situation.

A) 1/2(x+6)=17
B) 1/2x+6=17
C) 1/2x+6x=17

4. Dan spent half of his allowance going to the movies. He washed the family car and earned $9. What is his weekly allowance if he ended with $15? Select the correct equation to represent this situation.

A) 1/2x+9=15
B) 1/2(x+9)=15
C) 9-1/2x=15

Answers

Answer:

1 = C

2 = B

3 = B

4= C

Step-by-step explanation:

Im not 100% sure but.. i tried

Answer:sike i lied i must provide

Step-by-step explanation: its ez just do it

9^x + 9^x-1 = 30 what's the value of x​

Answers

small (x)
9(x) + 9(x) - 1 = 30
2 x 9(x) - 1 = 30
2 x 9(x) = 30 + 1
2 x 9(x) = 30
simplify
9x = 31/2
x = 1/2 x log (3) (31/2)
or
x ≈ 1.24741

PLEASE HELPS!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!ASAP


A manager increased the hourly pay for three employees.

Carlie’s hourly rate, which used to be $9 per hour, increased by 6%.

Allison’s hourly rate, which used to be $8 per hour, increased by 9%.

Gabriele’s hourly rate, which used to be $11 per hour, increased by 5%.

Order the hourly rates from least increase in pay to greatest increase in pay.

Answers

Answer:

Allison, Carlie and Gabriele's

Step-by-step explanation:

1. JP Construction is building a rectangular children's wading pool for the local community center. The pool will be 4.5 meters wide. To meet city building code guidelines, the area of the pool must not be larger than 8 square meters. Which inequality represents the possible lengths of the wading pool, where x represents the length of the wading pool in meters?

Answers

Answer:

[tex]x\leq 1.78[/tex]

Step-by-step explanation:

We are given that

Width of pool, b=4.5 m

We have to find the inequality which  represents the possible lengths of the wading pool.

Let x be the length of wading pool

We know that

Area of rectangle=[tex]length\times breadth[/tex]

According to question

Using the formula

[tex]4.5x\leq 8[/tex]

Divide by 4.5 on both sides we get

[tex]x\leq\frac{8}{4.5}[/tex]

[tex]x\leq 1.78[/tex]

6X + 8Y - 4Z = 5

1X + 2Y + 5Z = 9

9X - 3Y + 3Z = 6


Por favor cómo se resuelve esta matriz por método Gauss-Jordan

Answers

Responder:

la solución (x, y, z) es (4.48, 4.86, -1.04)

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

Marcus needs 550 tickets to get the prize he wants at the arcade. He already has 125 tickets and can earn 24 tickets each time he plays an arcade game. How many games will he have to play in order to have enough tickets to win the prize he wants?

Answers

he has to play 17 or 18 games

2. Randy has a house that is worth $250,000 but he still owes $175,000. He has a car that is worth $50,000 but he still owes $37,000. He has a motorcycle valued at $8,000 that is paid in full. He has a credit card bill with a balance of $3, 200. He has $200 in cash, $1,500 in his checking account, and $3,000 in savings. What is his net worth?

Answers

Answer:

$91,200

Step-by-step explanation:

I gave it my best shot sorry if it wrong

I need help *********

Answers

Answer:

D.

Step-by-step explanation:

Answer:

the answer to this question is d.

Help me pls pls pls

Answers

Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

try the first choice

What are the terms to this polynomial: 4x2 + 9x - 1/2

Answers

Answer:

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Step-by-step explanation:

1.5. I copied the guy above !

The price of a pair of earrings is $22 but Priya buys them on sale for $13.20.

By how much was the price discounted?

Answers

Answer:

40%

Step-by-step explanation:

Discount price = 22 - 13.20 = $8.80

Discount percentage = [tex]\frac{8.80}{22}*100\\[/tex]

                     

                                   = 40%

Which expression is equivalent to 7(-7v - 7) - v?
-49V - 50
-50v - 49
-8V - 49
-50v - 7

Answers

Answer:

-50v - 49

Step-by-step explanation:

Just distribute you can even use a calculator

50v 49:))))(fgggggggggggy

if the circumfrence of a circle is 12pi cm. what is the area of the circle.

Answers

Answer:

11.46

Step-by-step explanation:

Answer:

11.46

Step-by-step explanation:

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