A plane leaves airport A and travels 550 miles to airport B on a bearing of N35°E. The plane later leaves airport B and travels to airport C 380 miles away on a
bearing of S72°E. Find the distance from airport A to airport to the nearest tenth of a mile

Answers

Answer 1

Answer:

d₃ = 803.9 Miles

Step-by-step explanation:

d₁ = 560 Miles

R₁ = N35⁰E

d₂ = 410 Miles

R₂ = S76⁰E

d₃ = ?

α = 35⁰+76⁰ = 111⁰

We can apply the Law of Cosines as follows

d₃ = √(d₁² + d₂² - 2*d₁*d₂* Cos α)

⇒  d₃ = √(560² + 410² - 2*560*410* Cos 111⁰) = 803.9 Miles


Related Questions

Indicate the method you would use to prove the two triangles. If no method applies, enter none.
LA
None
HL
LL
HA

Answers

Answer:

the answer is b

Step-by-step explanation:

hypotenuse leg theorem

Answer:

the answer is none

Step-by-step explanation:

can someone help me evaluate -7 x (-7)^-4 Please

Answers

(-7)¹ x (-7)⁻⁴ = (-7)⁻⁵

please help me please

Answers

Answer:

x = -6

Step-by-step explanation:

we can see that x=-6 when y=2 on the graph

Answer:

-4 should be the answer

good luck

Amy spent $6.00 for 2 gallons of gas. Bobby paid $15.00 for 6 gallons of gas. Carlos paid $32.00 for 8 gallons of gas. List the people in order of how much they paid for one gallon of gas, from the cheapest to the most expensive cost per gallon. Amy, Carlos, Bobby Amy, Bobby, Carlos Bobby, Amy, Carlos Bobby, Carlos, Amy

Answers

Answer: Bobby, Amy, Carlos

Step-by-step explanation:

Amy spent $6.00 for 2 gallons of gas.

The price per gallon will be:

= $6/2

= $3 per gallon

Bobby paid $15.00 for 6 gallons of gas.

The price per gallon will be:

= $15/6

= $2.5 per gallon

Carlos paid $32.00 for 8 gallons of gas.

The price per gallon will be:

= $32/8

= $4 per gallon

From the cheapest to the most expensive will be:

Bobby, Amy, Carlos

Answer:

Bobby,Amy,Carlos

Step-by-step explanation:

A firefighter truck can hold 3000 gallons of water. A firefighter can deliver 160 gallons of water every 2 minutes.

1. How much water will be delivered in 10 minutes?

2. How long will it take for the firefighter to empty the tank?

Answers

Answer:

Step-by-step explanation:

1. solution

160 gallons = 2 min

160 x 5 = 2 x 5

800 gallons = 10 min

2. solution

160 x 19 = 2 x 19

2880 = 36

So

approximately 38 min

PLS HELP ASAP!! WILL MARK BRAINLIEST!!!

Answers

Answer:

2 seconds

Step-by-step explanation:

[tex]y=-5t^2+20[/tex] (Given)

When acorn will hit the the ground, at that moment y = 0

[tex]\implies 0= -5t^2+20[/tex]

[tex]\implies 5t^2=20[/tex]

[tex]\implies t^2=\frac{20}{5}[/tex]

[tex]\implies t^2=4[/tex]

[tex]\implies t=\pm\sqrt4[/tex]

[tex]\implies t=\pm 2[/tex]

Time can not be negative.

[tex]\implies t\neq-2[/tex]

[tex]\implies t=2\:seconds[/tex]

A charity organization had a fundraiser where each ticket was sold for a fixed price. After selling 200 tickets, they had a net profit of $12,000.
They had to sell a few tickets just to cover necessary production costs of $1,200.
Let y represent the net profit (in dollars) when they have sold x tickets.
Which of the following could be the graph of the relationship?

Answers

Answer:

Step-by-step explanation:

y = 66x - 1200

The charity organisation has to sell a number of tickets to cover their production costs of $1,200. It is given that after selling 200 tickets they retain a net profit of $12,000. Net profit is deduced as: Total sales - total costs. Sales is calculated as total tickets x selling price per ticket.

If we let b represent the sales earned from selling tickets, then:

Net profit = total sales - total costs

12,000 = 200b - 1,200

We can then solve for b by taking the 1200 to the other side of the equal sign. When we do that the sign of that number changes. This is also the same as adding 1200 to both sides of the equal sign:

∴12000 + 1200 = 200b

13200 = 200b

To get the price of one single ticket, b, we need to divide both sides by 200.

∴ b = 66

This means that each ticket's selling price is $66.

So when when we take it back to the calculation of net profit then it becomes:

Net profit = total sales - total costs

y = 66x - 1200

To test:

y = 66x - 1200

= 66 (200 tickets) - 1200

= $12,000

what is the value of h

Answers

h= 28°

(Vertically opposite angles are equal)

Step-by-step explanation:

Find the surface area of the rectangular prism...

Answers

Answer:

the surface area is 52

Step-by-step explanation:

A=2(wl+hl+hw)=2x(1x2+8x2+8x1)=52

Solve −h−7h+13=3. Solve for h

Answers

Answer:

I think your answer is h = -1

Answer:

-8h+13=3

-8h=3-13

_8h=_10

h=5\4

Zelda and Ricky are laying floor tiles for a 15 ft by 18 ft room using a scale drawing. Their drawing is 9 in. by 10.8 in. Zelda thinks the scale for the drawing is 1 to 5/3. Ricky thinks it is 1 to 20. Can they both be right? Explain why or why not?
ANSWER QUICKLY 10 min Please Will Brainliest

Answers

Answer:

No, they cannot both be right

Step-by-step explanation:

Firstly, we need to convert the ft in the real room to inches

Mathematically; 1 foot = 12 inches

So 15 ft will be 15 * 12 = 180 inches

18 ft will be 18 * 12 = 216 inches

Now let’s look at their drawings;

9 to 10.8

So 9 translated to 180 while 10.8 translated to 216

So the ratios here are;

9/180 and 10.8/216 = 1 : 20 for the ratio of the drawing to the real measure

This shows that only Ricky is right

Part 2 please help ty!
It’s fine if you don’t know all of them just say the ones you do
tysm again :D

Answers

Answer for question 10: Shop B has the better deal

Explanation: First, for the price at shop A, you’ll divide 5.70 by 3 which gives you 1.9.

Then, for shop B, divide 9 by 5 which equals 1.8.

This shows us that shop B has the better value because a rate of 1.8 is less than a rate of 1.9.

A question on a test asks
students to find the speed at which a car travels.
The graph shows a proportional relationship
between the distance traveled in miles and time
in hours. Billy incorrectly says that the speed of the car is 1/56 mile per hour. What is the speed of the car? What error might Billy have made?

Answers

Answer: the actual speed of the car is 65 and the other part is

"he used change in x coordinates/change in y coordinates to find a unit rate not change in y-coordinates/change in x coordinates"

Step-by-step explanation:

sorry, hope this isnt too late and hope this helps you!! <3

sorry put a answer then i realized we didn’t have the same numbers

First one with the answers gets marked brainly pls help!!

Answers

Using the formula for the area and circumference of a circle, we have the following answers:

1. radius = 2 in. (given)

Diameter = 4 in.

Circumference = 12.56 in.

Area = 12.56 in.²

2. radius = 10 in.

Diameter = 20 in. (given)

Circumference = 62.8 in.

Area = 314 in.²

3. radius = 5 in.

Diameter = 10 in. (given)

Circumference = 31.4 in.

Area = 78.5 in.²

4. radius = 20 in.

Diameter = 40 in. (given)

Circumference = 125.6 in.

Area = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 36 in.

Circumference = 113.04 in.

Area = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 16 in.

Circumference = 50.24 in.

Area = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 24 in.

Circumference = 75.36 in.

Area = 452.16 in.²

8. radius = 16 in.

Diameter = 32 in. (given)

Circumference = 100.48 in.

Area = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 30 in.

Circumference = 94.2 in.

Area = 706.5 in.²

What is the Area and Circumference of a Circle?Area of a circle = πr²Circumference of a circle = 2πr or πd, where r is radius and d is diameter.

1. radius = 2 in. (given)

Diameter = 2(2) = 4 in.

Circumference = πd = π(4) = 12.56 in.

Area = πr² = π(2²) = 12.56 in.²

2. radius = 1/2(20) = 10 in.

Diameter = 20 in. (given)

Circumference = πd = π(20) = 62.8 in.

Area = πr² = π(10²) = 314 in.²

3. radius = 1/2(10) = 5 in.

Diameter = 10 in. (given)

Circumference = πd = π(10) = 31.4 in.

Area = πr² = π(5²) = 78.5 in.²

4. radius = 1/2(40) = 20 in.

Diameter = 40 in. (given)

Circumference = πd = π(40) = 125.6 in.

Area = πr² = π(20²) = 1,256 in.²

5. radius = 18 in. (given)

Diameter = 2(18) = 36 in.

Circumference = πd = π(36) = 113.04 in.

Area = πr² = π(18²) = 1,017.36 in.²

6. radius = 8 in. (given)

Diameter = 2(8) = 16 in.

Circumference = πd = π(16) = 50.24 in.

Area = πr² = π(8²) = 200.96 in.²

7. radius = 12 in. (given)

Diameter = 2(12) = 24 in.

Circumference = πd = π(24) = 75.36 in.

Area = πr² = π(12²) = 452.16 in.²

8. radius = 1/2(32) = 16 in.

Diameter = 32 in. (given)

Circumference = πd = π(32) = 100.48 in.

Area = πr² = π(16²) = 803.84 in.²

9. radius = 15 in. (given)

Diameter = 2(15) = 30 in.

Circumference = πd = π(30) = 94.2 in.

Area = πr² = π(15²) = 706.5 in.²

Learn more about area and circumference of circle on:

https://brainly.com/question/402655

A small strawberry smoothie costs $5. An X-large smoothie cost twice as much. How much, in dollars, does the X-large smoothie cost?

Answers

Answer: 10 dollars

Explanation 5x2=10

40 POINTS PLS HELP

The total cost after sales tax to fix Azar’s computer is represented by the expression 0.08 (55h) + 55h, where h represents the number of hours it takes to fix Azar’s computer.

Answers

Answer:

59.4

Step-by-step explanation:

0.08x55+55

6y=24−3x i need what x is and what y is but i cant seem to get it right

Answers

Step-by-step explanation:

6y=24-3x

6y/6=24-3x/6

y= 4-1/2x

x= -2y+8

Answer:

Please see below

Step-by-step explanation:

There are two variables so you can't really solve for both of them

Here's x:

3x = 24 - 6y

x = 8 - 2y

Here's y:

6y = 24 - 3x

y = 4 - x/2

Hope this helps :)

(Please let me know if I've gotten anything wrong!)

a random group of high school and college students were asked if they study with or without listening to music. the frequency table below shows the results of the poll. a 4-column table with 3 rows. the first column has no label with entries high school, college, total. the second column is labeled music with entries 68, 85, 153. the third column is labeled no music with entries 65, 51, 116. the fourth column is labeled total with entries 133, 136, 269. which statements are true? check all that apply. the table shows conditional relative frequencies by column. the table shows conditional relative frequencies by row. the conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56. if someone prefers to study with music, the probability the person is in college is about 63%. if someone prefers to study with music, the probability the person is in hs is about 44%.

Answers

Answer:

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study music, the probability the person is in HS is about 44%.

Step-by-step explanation:

In the music column, we see that

total people who prefer to study with music =   153

high school students = 68

So, probability of high school students who study with music

= 68/153

= 0.44

= 44%.

College students = 85

Probability of college students who prefer to study with music

=  85/153

= 0.56

= 56%.

So, the correct statements are :

The conditional relative frequency that someone is in high school, given that the person prefers to study without music, is about 0.56.  

If someone prefers to study with music, the probability the person is in HS is about 44%.

Answer:

3 and 5

Step-by-step explanation:

2022

Claire traveled 466 miles. She drove 81 miles every day. On the last day of her trip she only drove
61 miles. Write and solve an equation to find the number of days Claire traveled. Explain each step
of your problem solving strategy.
Gm
d = 5
What was the total number of days that Claire traveled?
Claire drove for days in all
(Type a whole number.)

Answers

Answer:

Claire traveled for 9 days.

Step-by-step explanation:

Given:

Total Distance traveled = 701 miles

Distance traveled each day = 80 miles

Distance traveled on last day = 61 miles

We need to find the number of days Claire traveled.

Solution:

Let the number of days Claire traveled be denoted by 'd'.

Now we can say that;

Total Distance traveled is equal to sum of Distance traveled each day multiplied by number of days and Distance traveled on last day.

framing in equation form we get;

Now Subtracting both side by 61 using Subtraction Property of Equality we get;

Now Dividing both side by 80 we get;

Hence Claire traveled 80 miles in 8 days and 61 miles on last day making of total 9 days of travel.

Please help with a clear answer

Answers

Answer: f is the dependent variable

Step-by-step explanation:

A variable that depends on one or more other variables. For equations such as letter f = 0.73g +16.8, the dependent variable is letter f. The value of letter f depends on the value chosen for g. Usually the dependent variable is isolated on one side of an equation.

Name the intersection of
FG
and
GF

Answers

Answer: First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

Answer:First option: Line FG First option: Line FG

Step-by-step explanation:

Intersection points will be those points that belong to both lines.

We have the lines Line FG and Line GF.

Line FG: This is the line that connects the point F and the point G.

Line GF: this is the line that connects the point G and the point F.

Now, by unicity, we know that there is only one line that connects two points, then Line FG and Line GF must be the same line.

Then, because both lines are the same line, we can say that "All the points in Line GF are in the Line FG"

Then the interception is the whole Line FG.

HELP PLS
Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x - 13)2 + 6

Shift the graph of y = x2 right 13 units and then up 6 units.
Shift the graph of y = x2 left 13 units and then up 6 units.
Shift the graph of y = x2 up 13 units and then right 6 units.
Shift the graph of y = x2 left 13 units and then down 6 units.

Answers

Answer:

Shift the graph of y = x2 left 13 units and then up 6 units.

Step-by-step explanation:

Answer:

You start with the graph y=x^2, you shift the graph right 13 units to get y=(x-13)^2, then you shift the graph up 6 units to get y=(x-13)^2+6. Hope this helps!

Three students found the mean of the data set given. Their work is shown below. Choose the student who correctly found the mean. 10, 10, 13, 14, 16, 19, 23 Naeem's Work. StartFraction 10 10 13 14 16 19 23 Over 7 EndFraction = StartFraction 105 Over 7 EndFraction = 15 Preston's Work. StartFraction 10 13 14 16 19 23 Over 6 EndFraction = StartFraction 95 Over 6 EndFraction = 15. 8 Calida's Work. StartFraction 10 23 Over 2 EndFraction = StartFraction 33 Over 2 EndFraction = 16. 5.

Answers

Hey there!


Formula:

SUM of all numbers / TOTAL numbers you have in your data plot


EQUATION:

(10 + 10 + 13 + 14 + 16 + 19 + 23) / 7

10 + 10 + 13 + 14 + 16 + 19 + 23
= 20 + 13 + 14 + 16 + 19 + 23

= 33 + 14 + 16 + 19 + 23

= 47 + 16 + 19 + 23

= 63 + 19 + 23

= 82 + 23

= 105


105 / 7

= 15


So, therefore the answer is: Naeem's Work. Start fraction 10, 10, 13, 14, 16, 19, 23 Over 7 end fraction = StartFraction 105 Over 7 end fraction = 15 (Option A.)


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Bobby drove 110 miles and his car used up 8 gallons of gas how many miles can you drive with 15 gallons of gas

Answers

110m = 8 gallons, so 110/8=13.75 which is how many miles they can go off of 1 gallon of gas. 110x2= 16 gallons which = 220m. 220-13.75=206.25m

3. The equation 4x + 16y = 36 is a true equation for a particular
value of x. Explain why x + 4y = 9 is also true for the same value of x.

Answers

Answer:

See below.

Step-by-step explanation:

We know that the equation [tex]4x+16y=36[/tex] is a true equation for a particular value of x.

Now, let's see what happens if we divide everything by 4. In other words:

[tex]\frac{4x+16}{4}=\frac{36}{4}[/tex]

Divide:

[tex]x+4=9[/tex]

So, we get [tex]x+4=9[/tex].

When we divided everything by 4, we used the division property of equality. Under this property, the equation remains the same even if we divided since we did the same thing to both sides of the equation.

Therefore, [tex]x+4y=9[/tex] is also true for the same value of x because it is just a simplified version of [tex]4x+16y=36[/tex].

Simplify (3^-2)^4

A: 3^8
B: 1/3^2
C: 1/3^8
D: 3^2​

Answers

answer: c

explanation: (3^-2)^4 equals 1.5x10^-4
find which choice equals the same as the given equation.

Find the midpoint between the points (4,8) and (-6,-3)​

Answers

Answer:

[tex]( - 1,2 \frac{1}{2} )[/tex]

Step-by-step explanation:

[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]

Thus, midpoint

[tex] = ( \frac{4 - 6}{2} , \frac{8 - 3}{2} ) \\ = (\frac{ - 2}{2} , \frac{5}{2} ) \\ = ( - 1,2 \frac{1}{2} )[/tex]

what's the y-intercept of -2 ? ​

Answers

Answer:

(1,2)

Step-by-step explanation:

look at the slope

pick two points that connect like Γ

list which one connects to x and which one connects to y

What are the domain and range of f (x) = log (x 6) minus 4?

Answers

Answer:

We will see that the domain of the function is:

D: {x | x ∈ R | x > -6}

How to find the domain of a function?

To find the domain of a function, we start by assuming that it is the set of all real numbers, and then we remove the problematic points.

In this case, we have a logarithm, and as you may remember, we can only evaluate the logarithm in positive values, so we need to remove all the values of x such that:

x + 6 ≤ 0

Solving for x, we get:

x ≤ -6

So the only values of x allowed are the ones that make the next inequality true:

x > -6.

Thus we can write the domain as:

D {x | x ∈ R | x > -6}

Where the second part, x ∈ R, is usually ignored, as we assume that x is a real number unless we specify that it is not, but just for completion, I wrote it.

- Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, how many more must she sell in order to raise at least $400?

Answers

I am pretty sure the answer is 37 more bags.

Kendall need 33 more bags of popcorn to be sold.

What is word problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, Kendall is selling bags of popcorn to raise money for her soccer team. If she has raised $104 so far and the popcorn bags cost $8 each, she needs to raise $400, we need to find how many more must she sell in order to raise at least $400.

Let she needs to sell x more bags of popcorn,

Therefore,

140 + 8x = 400

8x = 260

x = 32.5 ≈ 33

Hence, Kendall need 33 more bags of popcorn to be sold.

Learn more about word problems, click;

https://brainly.com/question/2610134

#SPJ2

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