Given :
An airplane flying at an altitude of 2600 m is approaching an airport run away located 56 km away.
To Find :
The airplane’s angle of decent.
Solution :
Height of plane, h = 2600 m.
Horizontal distance of airplane from vertices is, d = 56 km = 56000 m.
Let, angle of depression is Ф.
So,
[tex]tan \ \phi = \dfrac{56000}{2600}\\\\tan \ \phi = 21.54\\\\\phi = 87.34^o[/tex]
Therefore, the angle of decent is 87.34°.
Hence, this is the required solution.
All I know is that the answer is F. How do I get to the answer F?
Answer:
8 inches on each side
Step-by-step explanation:
4. Find the slope of the line through the
points A(8,7) and B(5,-2).
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.
i got 260 but it’s wrong lol
Answer:
260 should be correct.
General Formulas and Concepts;
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define expression
6² · (16 + 19) - 10³
Step 2: Evaluate
Parenthesis (Add): 6² · 35 - 10³Exponents: 36 · 35 - 1000Multiply: 1260 - 1000Subtract: 260Answer:
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
A caterer has 5 rolls. He is ordering more rolls. He can order up to 9 packages of rolls and each package contains 12 rolls. The caterer cannot order partial packages. The function that models the number of rolls the caterer has is f(p)=12p+5, where p is the number of packages he orders.
What is the practical domain of the function?
Giving points and brainliest.
Answer:
1-9 inclusive
Step-by-step explanation:
Help me solve this problem please
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
4. Steve worked 37.5 hours last week for $15.00 an hour. What is his gross pay for the
week?
A town has a population of 2000 and grows at 4% every year. What will be the population after 15 years, to the nearest whole number? I just need the correct answer
Answer:
3200
Step-by-step explanation:
growth = current population + rate * time
= 2000 * .04 * 15
= 1200
original population + growth = total
2000 + 1200 = 3200
Question 2 (1 point) Which ordered pair is a solution to the equation below? -4x + 2y = 16 O (-3, 2) O (4, -1) (2-3)
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).
what error did katerina likely make?
Answer:
Katerina took the reciprocal of y/x
Answer:
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tyyyyy
❗️❗️PLEASE HELP QUICK❗️
(a)Find the greatest common factor of 15 and 10.
(b)Use the GCF to factor 15 -10.
(a) GCF = ?
(b) 15 – 10 = ? x ( ? - ?)
Which number is greater . 84 or 9.3
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!
M is the midpoint of AB. A is at (-5, 1) and M is (-1,4). Find the coordinates of B. Select one: O a (-3.2.5) O b.(-1.4) O c. (2,5) O d.(3,7)
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)
Marshall bought 10 bags of chips for his school party. A bag of plain chips cost $2.00, and a bag of flavored chips cost $2.50. He spent a
total of $23.00 on chips. How many bags of flavored chips did he buy?
A. 2
8
OB. 4
O C6
OD 8
Answer:
6 bags of flavored Chips .
Step-by-step explanation:
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
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.
What is a function?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
. Express the balance sheets in common-size percents. (Do not round intermediate calculations and round your final percentage answers to 1 decimal place.)
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:
Find the slope of the line that passes through each pair of points: (8, -2) , (1, 1)
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.
3 subtracted by 7 times a number
Answer:
(3-7)x or -4x depends on what your teacher is looking for
How to solve y=4x+2 and 2x+y=8 using substitution?
Answer:
X=1
Step-by-step explanation:
help, please!!!!!!!!!
In class of 30 students there are 16 girls what is the ratio of boys to girls in the class
Answer:
No. of boys in class = 30-16=14
so,ratio=14:16
=7:8
en la escuela de Mario se construye una cancha de baloncesto a partir del dibujo a escala
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:
Is this a function? Can you show your work on how you got the answer plz?
Answer:
yes it is a function because the x does not repeat itself
Step-by-step explanation:
Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.
Mount Rushmore
President Roosevelt's nose should be approximately
A feet long.
Plz help it is due in 15 minuites
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
You are deciding whether to buy a car for $ or to accept a lease agreement. The lease entails a $ fee plus monthly payments of $ for 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 $. Complete parts a through c below.
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.
Firefighters need to use a 60-foot ladder to save a child. She is 50 feet above street
level. To the nearest tenth of a foot, how far from the bottom of the building must the
ladder be placed in order to reach the child exactly?
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
Can someone please help me sort them out into True, Not True and Cannot Be Determined
Answer:
the first, second, and fifth
Step-by-step explanation:
hope this helps :-)
Can somebody help me? Will mark brainliest!
how do you find the power of the power
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:
Plz answer Quick! WILL GIVE BRAINIEST! ANSWER CORRECTLY! TYSM <333333333
Answer:
4-$55.00
6-$65.00
8-$65.00
Step-by-step explanation:
Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was planned. How long did it take for Jonathan walk to his destination?O
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]