An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away (from the airplane to the run away). Calculate the airplane’s angle of decent. (Hint: the angle of decent is the same as the angle of depression.)

Answer:

The ladder must be placed at a distance of 33.2 feet from the bottom of the building

Step-by-step explanation:

From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder

The height of the child is 50 feet from ground level

So we need to get the third side of the triangle

We can get this by considering the use of Pythagoras’ theorem

This will give us the length of the third side of the triangle

From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides

Let the unknown side be x

Thus;

60^2 = 50^2 + x^2

x^2 = 60^2 - 50^2

x^2 = (60-50)(60+50)

x^2 = (10)(110)

x^2 = 1100

x = square root of 1100

x = 33.166

To the nearest tenth, this is 33.2 feet

Answer:

Katerina took the reciprocal of y/x

Answer:

jjjjjjjjjjyyyy

tyyyyy

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = [tex]x[/tex] units/hr

Let the original time taken by Jonathan = [tex]y[/tex] hours

Let the distance = [tex]D[/tex] units

Formula for distance is given as:

[tex]Distance = Speed \times Time[/tex]

Given that half the distance is covered by original speed.

[tex]\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)[/tex]

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

[tex]\dfrac{5}{4}x\ units/hr[/tex]

Hence, Time taken:

[tex]\dfrac{y}{2}-\dfrac{1}{2}[/tex]

Distance traveled is half of the total distance:

[tex]\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)[/tex]

Dividing (1) by (2):

[tex]\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours[/tex]

Answer:

1-9 inclusive

Step-by-step explanation:

Answer:

6 bags of flavored Chips .

Step-by-step explanation:

Answer:

the first, second, and fifth

Step-by-step explanation:

hope this helps :-)

Answer:

a. The correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. The correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. The correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore given as follows:

You are deciding whether to buy a car for $21,000 or to accept a lease agreement. The lease entails a $800 fee plus monthly payments of $250 for 48 months. Under the lease agreement, you are responsible for service on the car and insurance. At the end of the lease, you may purchase the car for $9000. Complete parts a through c below.

a. Should the cost of service and insurance determine which option you choose?

A. Yes, because you probably don't have to pay for services when you buy the car.

B. No, because it is cheaper to lease the car than to buy it.

C. No, because you will probably have to pay for service and insurance with either plan.

D. Yes, because you get a discount on your insurance when you lease the car.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

A.Yes, the total cost of the car at the end of the lease is $___ (fill in the blank)

B. No, the total cost of the car at the end of the lease is $___(fill in the blank)

c. What are some possible advantages of leasing the car?

A. You can sell the car whenever you want and you can make money on the car when you sell it.

B. The insurance costs less and you get a service discount.

C. You can give the car back whenever you want and you can get a new car whenever you want.

D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

The explanation of the answer is now provided as follows:

a. Should the cost of service and insurance determine which option you choose?

No matter the option, wither buy or lease, that is chosen, the car will still have to be serviced and the insurance cost will have to be paid for. Therefore, the cost of service and insurance should not determine which option to choose.

Therefore, the correct option is C. No, because you will probably have to pay for service and insurance with either plan.

b. Does the total cost of purchasing the car at the end of the lease agreement exceed the cost of purchasing the car at the outset?

From part a above, it is stated that the cost of service and insurance should not determine which option to choose.  Therefore, the cost of service and insurance should not be included in calculating the total cost of purchasing the car at the end of the lease agreement.

This implies the only relevant costs to use in calculating the total cost of purchasing the car at the end of the lease agreement are the $800 monthly fee and the $9,000 cost of purchase at the end of the lease.

Therefore, the total cost of purchasing the car at the end of the lease agreement can be calculated as follows:

Total lease cost = (Monthly fee * Number of months) + Cost of Purchase = ($800 * 48) + $9,000 = $38,400 + $9,000 = $47,400

Therefore, the correct option is A.Yes, the total cost of the car at the end of the lease is $47,400.

c. What are some possible advantages of leasing the car?

Under a lease agreement, there is no need to pay all the money required to buy an item at once. The leasing of an item also enables one to examine the item in details to decide whether to buy it or not at the end of the lease agreement.

Based on the explanation above, the correct option is D. Not all of the money is needed up front and you have years to decide if you want to buy the car.

Answer: A

Step-by-step explanation: If you fill in the x-intercept and the y-intercept and solve -4(2) + 20 = 12       And -4(3) + 20 = 8    

if you solve for those you would get your y-intercept

Answer:

4-$55.00

6-$65.00

8-$65.00

Step-by-step explanation:

Answer:

9.3

Step-by-step explanation:

9.3 is greater because 9.3 has a bigger value than .84 because .84 is in the hundredths place which is less than the unit digit which is 9 from 9.3

Hope this helps!

Answer:

(3-7)x or -4x depends on what your teacher is looking for

Answer:

No. of boys in class = 30-16=14

so,ratio=14:16

=7:8

Answer:

3200

Step-by-step explanation:

growth = current population + rate * time

            = 2000 * .04 * 15

            = 1200

original population + growth = total

2000 + 1200 = 3200

Answer:

8 inches on each side

Step-by-step explanation:

Answer:

A (-3, 2.5)

Step-by-step explanation:

Midpoint formula is m=(x1 + x2/2), (y1 + y2/2)

So add the xs: -5 + -1 = -6

And the ys: 1 + 4 = 5

Then divide them by 2

(-3, 2.5)

Answer:

3/-7

Step-by-step explanation:

Using the equation [tex]M=\frac{Y_{2}-Y_{1}}{X_{2}-X_{1}}[/tex] where M is slope, you take (1--2) 1+2/1-8 and you get 3/-7.

Answer:

=29

Step-by-step explanation:

2f(b)=28

divide by 2

f(b)=14

f(b)=3b-1

3b-1=14

add 1 on both sides

3b=15

divide by 3

b=5

f(5)=14

let's plug that in

f(2×5)=3(2×5)-1

f(10)=30-1

f(10)=29

The value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x) = 3x - 1 and 2f(b) = 28

Plug x = b

f(b) = 3b - 1

2f(b) =2(3b - 1)

2f(b) = 28

28 = 2(3b - 1)

b = 5

f(2b) = f(2(5)) = f(10)

f(10) = 3(10) - 1

f(10) = 30 - 1 = 29

Thus, the value of f(2b) is 29 if f(x) = 3x - 1 and 2f(b) = 28 the answer is 29.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

Answer:

yes it is a function because the x does not repeat itself

Step-by-step explanation:

Answer:

When raising a power to a power in an exponential expression, you find the new power by multiplying the two powers together. For example, in the following expression, x to the power of 3 is being raised to the power of 6, and so you would multiply 3 and 6 to find the new power.

Step-by-step explanation:

Answer:

260 should be correct.

General Formulas and Concepts;

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define expression

6² · (16 + 19) - 10³

Step 2: Evaluate

Answer:

It's 260, maybe the system is wrong?

Step-by-step explanation:

6^2(16+19)-10^3

add the numbers in the parentheses

6^2(35)-10^3

simplify the exponents first

36(35)-1000

1260 - 1000

260

Answer:hey guys it’s 13

Step-by-step explanation:

Don’t have an explanation but my teacher just said so and he’s smart so trust me

Answer:que?

Step-by-step explanation:

Answer:

· Dibuja la cancha de Baloncesto con medidas a escala #escudomania #aprenderadibujar #dibujarfacil Hola, bienvenido a este canal #escudomania, aqui encontraras...

Step-by-step explanation:

Full question attached

Answer attached

Answer and Step-by-step explanation:

We are asked to find the percentage of each asset or liability in total assets and liabilities. To find  percentage of each asset or liability in the balance sheet, we divide the asset or liability's value(from each year in the balance sheet)  by total assets and liabilities for that year and multiply by 100:

Answer:

A. (-3, 2)

Step-by-step explanation:

First step is to revert the equation into y = mx  + b form.

-4x + 2y = 16 turns into y = 2x+8

Now just plug in the points given to see which one matches.

(-3,2) the x is -3 so if you plug that into the equation it should get you 2 which is the y.

2 = 2(-3) + 8

2 = 2

So we know that (-3, 2) is the solution.

If you plug in the other points they wont come out equal. For example, (4,-1)

-1 = 2(4) + 8

-1 = 16

So (4,-1) cant be a solution. The same thing applies for (2, -3).

Answer:

X=1

Step-by-step explanation:

Answer:

Slope equals to 3

Step-by-step explanation:

-2-7=-9 over 5-8=-3. You then divide the 9 by 3 and because they are both negative they equal a positive.