2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degrees. how far apart are they after 2.5 hours

Answers

Answer 1

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles


Related Questions

what is the slope of this line

Answers

Answer:

Step-by-step explanation: Do rise and run

A chef is making pickles. he needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. decide whether each of the following ratios correctly represents the price of vinegar.

a. 4 gallons to $3.00

b. 1 gallon to $1.50

c. 30 gallons to $45.00

d. $2.00 to 30 gallons

e. $1.00 to 2/3 gallon

Answers

a is incorrect

b is correct

c is correct

d is incorrect

e is incorrect

Answer:

its b

Step-by-step explanation:

Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?

Answers

Problem:

Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?

Solution:

[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]

[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]

[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]

[tex] = \frac{58 + 13.92}{3} [/tex]

[tex] = \frac{71.92}{3} [/tex]

[tex] = 23.97[/tex]

Answer:

Each of them did spend $23.97

#CarryOnLearning

#AnswerForTrees

#BrainlyBookSmart

All you need the photo

Answers

The average rate of change of h(t) = -16t ² + 40t + 4 between t = 0 and t = 2 is

(h (2) - h (0)) / (2 - 0) = ((-16×2² + 40×2 + 4) - (-16×0² + 40×0 + 4)) / 2

… = ((-64 + 80 + 4) - 4) / 2

… = 16 / 2

… = 8

h(t) is measured in feet, so the average rate of change is measured in feet per second, so it's 8 feet per second.

tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by

Answers

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

The 7th grade basketball team has won 15 games out of the 20 games they have played this season. If they were to keep up this winning ratio, what is the probability they will win their next game?

Answers

Answer: 3/4

Step-by-step explanation:

what is the slope of the line please help khan academy??

Answers

im not sure but i think it’s 3... tell me if it’s wrong

Answer:  The answer is -3

Step-by-step explanation:

The graph goes down 3 and over 1, since slope is written rise/run, it would be -3/1, which reduces to -3

Can somebody help me with my math I’ll give u brainlest

Answers

Answer:

yess!!

Step-by-step explanation:

''-''

Answer:

where are questions

Step-by-step explanation:

Use the diagram to answer the question.

Answers

The answer to your question is D.

Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.



Compute the total amount that Angela makes in one week.

$
283.8




Assume that there are four weeks per month. Compute the total amount Angela makes per month.

$
1,135.2




Angela is using the Quantitative Reasoning Process to make a decision. She needs to know how much she makes in one year. Sometimes the values we get from our calculations depend on the assumptions we make. The following questions show that Angela will get different values for the amount she makes in a year depending on the assumption she chooses.



Assume that Angela gets paid once per week. Multiply the amount she makes in one week by 52 to find the total she will make in one year.

$
14,757.6




Assume that Angela gets paid once per month. Multiply the amount she makes in one month by 12 to find the total she will make in one year.

$
Number

I got the other 3 correct

Answers

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)

A local pizza shop has a membership program for frequent buyers. The membership
costs $15 per month and members get a discounted price of $2 per slice of pizza.
Mayerlin purchased a membership to this pizza shop. How much would Mayerlin
have to pay the pizza shop if she bought 11 slices of pizza this month? What would be
the monthly cost for x slices of pizza?

Answers

The answer to this problem might be 5 slices

Answer:

cost of slices=2x

cost=monthly fee+cost of slices

15x+2x

Step-by-step explanation:

PLEASSEEEEEEEE HELLPPPPPPPP MEEEEEEEE

Answers

Answer:

D

Step-by-step explanation:

Answer:

The answer is D. Associative and Distributive Properties.

Step-by-step explanation:

P.S Can I have brainliest?

There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.

Answers

Answer:

5/8

Step-by-step explanation:

write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33

Answers

Answer:

The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

Step-by-step explanation:

Given the sequence

9, 17, 25, 33

a₁ = 9

Determining the common difference

d = 17-9 = 8

d = 25-17 = 8

d = 33-25 = 8

As the common difference between the adjacent terms is same and equal to

d = 8

Therefore, the given sequence is an Arithmetic sequence.

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substituting a₁ = 9, d = 8 in the equation

[tex]\:a_n=9+8n-8[/tex]

[tex]a_n=8n+1[/tex]

Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:

[tex]a_n=8n+1[/tex]

50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent

Answers

Answer:

$1.03

Step-by-step explanation:

7/8 = 0.875

then

43 7/8 = 43.875%

43.875/100 = 0.43875

2.35 * 0,43875 = 1.031

Round to the neares cent:

1.03

Step-by-step explanation:

[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]

$ 1.0310625 is the right answer.

What is equivalent to 5(x + 12)

A x +12
B 2x - 60
C 5x + 60
D 2x - 60

Answers

Answer:

[tex]\boxed{\boxed{\pink{\sf Option \ C \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given to us is , 5 ( x + 12 ) and we need to find which is its equivalent in the given options .

So,

[tex]\bf = 5 ( x + 12 ) \\\\=\bf 5x + 5\times 12 \\\\=\boxed{\red{\bf 5x + 60 }}[/tex]

Hence option C is correct.

Simplify (65)2
O A. 670
O B. 67
C. 65
D. 63

Answers

130 If you multiply that’s what it would give you so I’m not sure what those answers are

Expanded form of 6(y+x)

Answers

Answer:

6y + 6x

Step-by-step explanation:

the expanded form would be 6 multiplied to each item in the parenthesis

this gets you 6x + 6y

The answer is 6x+6y multiply the 6 by everything inside the brackets

Please help it’s so important

Answers

Given:

In [tex]\Delta ABC, \overline{CA}=\overline{CB}[/tex].

[tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

To prove:

[tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Proof:

In [tex]\Delta ABC[/tex], [tex]\overline{CD}[/tex] is an altitude drawn from C to [tex]\overline{AB}[/tex].

It means, [tex]\Delta ACD\text{ and }\Delta BCD[/tex] are right angle triangles.

In [tex]\Delta ACD\text{ and }\Delta BCD[/tex],

Hypotenuse : [tex]\overline{CA}=\overline{CB}[/tex]       [Given]

Leg : [tex]\overline{CD}=\overline{CD}[/tex]       [Common]

If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then by HL postulate both triangles are congruent.

[tex]\Delta ACD\cong \Delta BCD[/tex]        [HL postulate]

[tex]\overline{AD}\cong \overline{BD}[/tex]       [CPCTC]

[tex]\overline{AD}=\overline{BD}[/tex]

It means, point D is the midpoint of [tex]\overline{AB}[/tex].

So, [tex]\overline{CD}[/tex] bisects [tex]\overline{AB}[/tex].

Hence proved.

Consider a binomial experiment with n = 5 trials where the probability of success on a single trial is p = 0.30. (a) Find P(r = 0). (b) Find P(r ≥ 1) by using the complement rule.

Answers

Answer:

0.16807 ; 0.83193

Step-by-step explanation:

Given that:

Number of trials, n = 5

Probability of success, p = 0.30

P(r = 0)

Using the binomial probability relation :

P(x =r) = nCr * p^r * (1 - p)^(n - r)

(a) Find P(r = 0).

P(r = 0) = 5C0 * 0.3^0 * (0.7)^(5- 0)

= 1 * 1 * 0.16807

= 0.16807

(b) Find P(r ≥ 1) by using the complement rule

P(r ≥ 1) = 1 - P(r = 0)

P(r ≥ 1) = 1 - 0.16807

P(r ≥ 1) = 0.83193

can someone please help me.​

Answers

Answer:

Step-by-step explanation:

1. isosceles

2. right scalene

3. obtuse scalene

4. equilateral

5. right isosceles

6. acute scalene

7. equilateral

8. isosceles

Rita earns 44dollars each week working part-time at a bookstore. She earns one additional dollar for each book that she sells.
Let A be the amount (in dollars) that Kala earns in a week if she sells B books.
Write an equation relating A to B. Then use this equation to find the amount of money Rita earns if she sells 35books.
Equation:
Amount Rita earns if she sells 35books: dollars

Answers

Answer 1: 44 + B = A
44 + (35) = A
Answer 2: 44 + 35 = $79

What is the sum of the exterior angles of a 10-gon figure?

Answers

Answer:

The sum of the exterior angles of a regular polygon will always equal 360 degrees.

andrea rents a bike for 8 hours and pays $42 for the rental tomorrow she wants the same bike but only needs it for 6 hours what equation can she use to figure out how much she will need to pay

Answers

Answer:

8x=42 where x is hourly cost

so x = 21/4

6*x = 63/2 $

Step-by-step explanation:

find the measure of m

Answers

Answer:

m=42

Step-by-step explanation:

because all straight line equal 180, we can find angle C

180-98=82

now, all triangles add up to 180. If we add up all the values we can find x

82+6x+8+5x+2=180

92+11x=180

11x=88

x=8

Now, just plug the variable into the angle measure

5(8)+2

40+2

42

Could you describe the expression 2(3+4) as a product of two factors?​

Answers

the answer will be 10 just multiply the numbers

Tom enjoys going to the hardware store. In the past three
weeks, he has spent a total of $85.84 on a hammer, nail
gun, and box of nails. What amount shows his average
spending per week?
A) $14.31
B) $28.61
C) $69.93
D) $85.84

Answers

Answer:

B) $28.61

Step-by-step explanation:

Average  spending per week:

85.84 ÷ 3 ≈ 28.61

Hello? Someone please help me with this.

Answers

Answer:

16x-6

Step-by-step explanation:

well in order to do so

u have to multiply 2 to 8x to get 16x

and then, multiply the 2 to -3 to get -6

this is the distributive property form. and that's how u get ur answer


What is mzA? Enter your answer as only a number

Answers

Answer:

A = 25

B = 65

Step-by-step explanation:

Remark

I hope you mean what is the size of <A? If not leave a note. If I am correct than A and C are complementary (equal 90o) since B is a right angle.

Solution

2x + 1 + 5x + 5= 90            Combine like terms

7x + 6 = 90                         Subtract 6 from both sides

7x = 90-6

7x = 84                               Divide by 7

x = 84/7

x = 12

==========================

Now that is not quite the answer.

A = 2x + 1

A = 2*12 + 1

A  = 25

B = 5x + 5

B = 5*12 + 5

B = 60 + 5

B = 65

What is the surface area?

Answers

Answer:

369 m²

Step-by-step explanation:

Area of Triangle (sides): 1/2bh

=1/2(bh)

=1/2 (9•16)

=1/2 (144)

=72

There are four sides of the prism:

72•4=288

Area of Square (base): l•w

=9•9

=81

Surface Area = 288+81=369 m²

Answer:

369 m²

Step-by-step explanation:

Other Questions
Read these paragraphs and answer the question that follows:1- In 2008, more than one million American students gave nearly 20 million service hours to their communities. They made a difference in peoples lives and learned some important life lessons in the process. Organizations, including schools, are actively promoting service for all citizens as a way to be involved, help others, and improve themselves.2- Service is helping other people and being active in your community. For example, one group of teens planted a community garden with their friends. They grow a variety of vegetables. The garden requires regular care. The teens donate the produce to a local soup kitchen. Workers there use the produce to help feed people in the community. By tending the garden and donating their produce, the teens are actively helping make life a bit better for others in their community.3- Service is valuable in ways that cannot be measured in dollars. People volunteer or serve others without expecting money or gifts in return. Service is not about earning money. It is not just collecting money to give to a group. It is about action and contributing to the common good. The people who serve as well as those who receive help benefit in many ways that are more important than money or gifts. For example, a soup kitchen provides essential food to people who may otherwise go hungry. The soup kitchen is extremely valuable for those struggling to get enough to eat. Those serving learn about compassion and how helping others can improve life for all.4- Millions of Americans are making society better for themselves and for others. They are participating citizens in their community, raising up those who are less fortunate. In return, they become better people who can understand the perspectives and needs of others, which are invaluable and important qualities of good citizens.Which sentence best represents the main idea of paragraph three, the second body paragraph? Service is valuable in ways that cannot be measured in dollars. It is about action and contributing to the common good. Workers there use the produce to help feed people in the community. The soup kitchen is extremely valuable for those struggling to get enough to eat. Make a diaryYou attended a traditional village fair. You were so much impressed by the people, their behaviour,their language, the village toys and articles...etc. Share your experience with your diary in a page.d PLS HELP GIVE BRAINLIEST!!!! Which of the following is an important cultural landmark for the Christians?A. Mecca and MedinaB. the Tombs of the ProphetsC. the ancient mosque of Al AqsaD. the Via Dolorosa Solve 3(5x-4) < 15xO. 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Which equation can be written to determine how many quarters, q, Abby has?LaTeX: \frac{1}{4}1 4 + q = 10LaTeX: \frac{1}{4}1 4 q = 104q = 104 + q = 10 This year is snowed on five of the 12 Days of Christmas! The snowfall amounts were 2inches, 5 inches, 3 inches, 1 foot and 9 inches. What was the mean amount of snow forthe 12 days? Round your answer to the nearest HELPPP AND YOU GET CANDYYY (brainlist) HELP BEFORE I DIE OF HISTORY :3 Which has the least value for 9?*A. 1.95B. 0.1039C. 3.092D. 2.009 What literary devices are in this poem? (And where in the poem.) James and Noel sat on the steps of their new house. It was going to be a hot day, but the boys preferred sitting outside to unpacking more boxes inside. Their mom was unpacking kitchen stuff, and the boys had grown tired of hearing her exclaim every time she unwrapped another of the teapots she hadn't seen in months. "You'd think she'd have enough teapots by now," said James. "Yeah," said Noel, "I don't get that excited about my Godzilla collection and that is way more interesting than any teapot." "And I'm sorry," said James, "but I know way too much about teapots for a boy my age." James then started listing all the things he knew about teapots. "There's the spout and the pouring angle," he began. But Noel had already tuned James out. The heat was rising and as tired as he was of his mother's teapots, he was more tired of James' complaining. Besides, there was a raggedy old dog down the street. Noel could tell, even from far away, this was a dog that belonged to no one. Its coat was matted. It had no collar. All he could see of the dog's face was its nose sticking out. Its coat was all brown, but a dirty, grayish brown, not the deep dark warm brown that made you feel safe. "And there's that teapot with the flowers. The brown one with the little dots all in a row," James continued on his rant, now listing all the teapots he had unwrapped for Mom. Noel continued ignoring James and watched the dog. It was moving slowly in their general direction. It stopped at various spots along the curb to smell things. Sometimes the smelling took a very long time. Every now and then it would sit down to scratch behind its ear. Noel wondered if it was looking for something to eat. James jabbered on and Noel began to wonder how a dog came to be in such a sad condition as this one. Did no one ever want it? Even as a puppy, was this fellow not cute enough to find a good family? Had it always been this ugly? Hadn't anyone ever been kind to it? The dog was across the street now, one house over. It seemed to be particularly attracted to mailboxes and the plants around them. To Noel's mind, it appeared that the dog was greeting each family on the street. Noel watched the dog cross the street heading in their direction. He hadn't noticed it before, but the dog's head seemed rather large. 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