Mathematics College

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

Write the equation of an ellipse with the following characteristics: center =(1,-3) vertices=(-6,-3),(8,-3)
Foci =(-4.7,-3),(6.7,-3)

Answers

Answer:

(x-1)²/49 + (y+3)²/16.51 = 1

Step-by-step explanation:

vertex (8,-3) Foci (6.7,-3) center (h,k) = (1,-3) , major axis parallel to x axis

a is the distance of the vertex from the center, and c is the distance of the foci from the center. b is semi-minor axis

b² = a² - c² Ellipse equation: (x-h)²/a² + (y-k)²/b² = 1

a = 8-1 = 7 c = 6.7 - 1 = 5.7

b² = 7² - 5.7² = 16.51

Ellipse equation: (x-1)²/49 + (y- -3)²/16.51 = 1 i.e. (x-1)²/49 + (y+3)²/16.51 = 1

Jessica is walking home from a friend's house. After two minutes she is 0.8 miles from home. Eight minutes after leaving, she is 0.3 miles from home. What is her rate in miles per hour?

Answers

6mph 6mph gotchu bro

9 qt. of a 20% acid solution was mixed
with 1 qt. of pure water. What is the
concentration of the mixture?

Answers

Answer:

18 beac sasdsasd

Step-by-step explanation:

It'll be a life saver if you guys can actually help me with this problem.. Please.
There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event

Answers

Answer:

C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event

Step-by-step explanation:

I think

How can you use a table of data to write and graph a linear relationship?

Answers

Answer:

Hope this answers will help you

Step-by-step explanation:

If you find it appropriate then plz mark it as brainlist plzzzzz

Function or not? {(2,4)(2,-6)(3,-1)}

Answers

function dujdbfhdhfh

Write a numerical expression for the word expression.

The difference between 41 and 19

Answers

Answer:

I believe the answer is

[tex]41 - 19[/tex]

Step-by-step explanation:

hope this helps!

✧◝(⁰▿⁰)◜✧

Work out 77 % of 775.66 m Give your answer rounded to 2 DP.

Answers

Answer:

597.25 m

Step-by-step explanation:

We need to find 77% of 775.66 m.

It can be calculated as follows :

[tex]77\%\times 775.66\\\\=\dfrac{77}{100}\times 775.66\\\\=597.25\ m[/tex]

So, 77% of 775.66 m is equal to 597.25 m.

PLEASE HELP i’ll mark brainliest !!

Answers

Answer:

180-62=118

Step-by-step explanation:

ab=ac means that they are all equal now you know that c=62 angle on a straight line adds up to 180 so you subtract 180 to 62

Which of the following correctly shows the distributive property?
A 4(x + 5) = 5(x + 4)
B
4(x + 5) = (4)(x) + 5
с
4(x + 5) = x + (4)(5)
D
4(x + 5) = (4)(x) + (4)(5)

Plsssss I need help

Answers

The distributive property is when you use the number on the outside of the parentheses to multiply the numbers on the inside of parentheses. This is usually used when the option is given and there is a variable inside.

Now onto the question, 4(x + 5)

We can actually break this down into parts so it’s not just one thing.

(4)(x) + (4)(5) would be the broken down form.

Thus, the answer to your question is:
D. 4(x + 5) = (4)(x) + (4)(5)

-The Number can be divided by the least common multiple 4 and 6
-The hundreds digit is 2
-The sum of all three digits is 15

Answers

Answer is 276
List of common multiples of 4 and 6 over 200 before 300 =204 216 228 240 252 264 276 290

A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?

Answers

The height of the top of the ladder from the ground is 4.53 m

Step-by-step explanation:

Given:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Required:

Height of the top of the ladder from the ground

Equation:

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]

[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]

[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]

[tex]opposite\:=\:4.53 \:m[/tex]

Final Answer:The height of the top of the ladder from the ground is 4.53 m

Please refer to the photo for the illustration

what is this

h divide 4 = 9

Answers

Answer: 36÷4=9

Step-by-step explanation:

It is not always possible to measure every individual in a population; what is the name of the representative group

Answers

Answer:

Sample

Step-by-step explanation:

The term that represents the description in the question is called sample.

Take for instance:

40 students selected from a class of 1001000 people selected from a population of 100000

In the above descriptions:

40 and 1000 represent the samples while 100 and 100000 represent the populations, respectively.

Another example is when 10 cats are picked from an animal farm in order to study their eating pattern.

All these and many more represent sample.

a rectangle with a length of 3x and a width of x+1 has the same perimeter as a rectangle with a width of x and a length of 2x-2. find the actual dimensions of each figure.

Answers

Answer:

Step-by-step explanation:

value

urgent please help :c

Answers

Answer:

that looks fun and easy

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please help me ASAP I’ll mark Brainly

Answers

Mark me Brainly answer 2/5

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

Step-by-step explanation:

Moving the triangle does not affect the length of it

You have to count the spaces and not the intersecting points

C, 4. It would be 2,6 if you go up you can see that the a starts on 2 and then c starts on 6. :)

John left a 20% tip on a $40.00 dinner bill how much was the tip

Answers

Answer:

Step-by-step explanation:

Answer:

$8.00

Step-by-step explanation:

40 x .20 =8

40+8=$48

Beth was working at the grocery store, in the quick check-out line. A customer bought cereal for $3.29 and milk for $3.45. The customer paid with $10.00. How much change does Beth need to give the customer?

Answers

Answer:

3.26 cent

Step-by-step explanation:

If the customer orders cereal and milk which the total for those two would be 6.74 and if the person pays $10 then Beth needs to give 3.26 back to the customer

please give correct answer <3 :(

Answers

Answer:

216g^3

Step-by-step explanation:

6g^3 g^3

6g^3 = 6g * 6g * 6g = 216g^3

Answer:

[tex]216g^{3}[/tex]

Step-by-step explanation:

6^3 x g^3=

6^3=216

216g^3

Find the inverse of the following function. A. B. C. D.

Answers

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation

yes def

y’all what is this evaluated ?

Answers

Answer:

sorry siso don't know the answer sorry ☹☹

Answer:

B = 200

Step-by-step explanation:

Cross multiply

10(20) = 200

I need lots of help please

Answers

Answer:

Step-by-step explanation:

Answer:

yes jdjdjdkdjjdjdjdjdjdndndndjd am so sorry

Step-by-step explanation:

An ant bed contains about 230 ants. If there are 6 of these beds on the playground, how many ants are there?

Answers

Multiply number of ants per bed by number of beds.

230 ants x 6 beds = 1,380 total ants

the answer I got was 1,380

please answer fast!!
I am really confused and I don't know what to do.

Answers

Answer:

Step-by-step explanation:

pls help the question is down there

Answers

Answer: 58in^2

Step-by-step explanation:

This is the most reasonable answer.

1.)Solve the following equation by completing the square
2x-3x-28=0

2.) find the sum. (The photo goes with question 2)

Answers

Okay so for number 1 is x = -28

I
i Sophie read 84 pages
1
of her book last week
If she read the same
1
number of pages
I every day. How many
page's did she read
I each day?

Answers

Answer:

12 pages

Step-by-step explanation:

1 week = 7 days

84 ÷ 7 = 12 pages

Mrs.owens bought two candles for her dining room table. She paid with a $100 bill and received $32.16 in change. If sales tax is charged at a rate of 6% what was the price for one candle holder before taxes?

Answers

6% would typically be 6cents to every dollar so that’s odd. Any who
100-32.16=67.84/2=33.92
Then remove taxes per candle
33.92 has 2.04 for tax 6% = 6cents or 0.06
33.92-2.04=33.88 without tax per candle
Answer: 33.88$

The price for one candle holder before taxes is $30.88.

What is a tax?

It is an amount of money that a government requires people to pay according to their income, the value of their property, etc., and that is used to pay for the things done by the government.

The total payment including tax is $100.

The change received is $32.16.

The rate of sale tax is 6%.

The cost of one candle including tax is given by

(100 - 32.16) / 2 = 32.92

6% of a candle is given by

32.92 * 0.06 = 2.0352

The cost of one candle without tax is given by

32.92 - 2.0352 = 30.88

Hence, the cost of one candle without tax is $30.88.

To learn more about tax, use the link given below:

https://brainly.com/question/16423331

#SPJ6

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