A plane flies 1.6 hours at 150 mph on a bearing of 10°. It then turns and flies 9.1 hours at the same speed on a
bearing of 100°. How far is the plane from its starting point?

A Plane Flies 1.6 Hours At 150 Mph On A Bearing Of 10. It Then Turns And Flies 9.1 Hours At The Same

Answers

Answer 1

9514 1404 393

Answer:

  1386 miles

Step-by-step explanation:

The plane flies ...

  (150 mi/h)(1.6 h) = 240 mi

on its first leg. Then it flies ...

  (150 mi/h)(9.1 h) = 1365 mi

on the second leg. The flight directions differ by 90°, so the distance from the starting point can be found using the Pythagorean theorem.

  c² = 240² +1395² = 1920825

  c = √1920825 ≈ 1385.94

The plane is about 1386 miles from its starting point.


Related Questions

How to find a side of a square when area is given?

Answers

Answer:

length =√area use this formula

The side length of square can be found by taking the square root of Area.

What are Squares?

Square are closed polygons which consist of four sides and four angles.

Each angle is 90 degree.

All the sides are of equal length.

So, by the definition of square, we know that the side lengths of square are equal.

The formula to calculate the area of the square is,

Area = a², where a is the length of one side of the square.

Let Area be given, let it be equal to A.

Then,

a² = A

Taking square root on both sides,

a = √A

Hence the side length is found by taking the square root of Area.

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16. Jefferson High School has an enrollment
of 1,864 students. In May, 564 students will
graduate. How many students will be enrolled
after graduation?

Answers

Answer:

1,300 students

Step-by-step explanation:

1864 - 564 = 1300

7. Find the corresponding angle.

(look at the picture)

Answers

Answer:

angle SXV

Step-by-step explanation:

Five less than twice the value of a number is equal to three times the quantity of four more than ½ the number. What is the number?

Answers

Step-by-step explanation:

(2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.

you save $15 per week to purchase a bike that costs $120. write and solve an inequality to find the number of weeks you need to save to purchase the bike.

Answers

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

What is inequality in mathematics?

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

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A taxi driver works out the fare for a journey, C pounds, using the formula , C=50h+0.5d where h is the hours driven and d is the distance travelled in km. What is the fare for a journey of 12 km that takes 0.5 hours?

Answers

Answer:

31

Step-by-step explanation:

Find the X & Y value

Answers

Answer:

Step-by-step explanation:

x = 72°

y = 61°

Daisy wants to survey middle school students to determine whether they would prefer to use a laptop or a tablet in the computer lab. She decides to go to the mall and survey the first 30 people she sees. Is this sample likely to be representative of middle school students? Explain your reasoning.

Answers

Wowhehsgvsvsnsnsns 2*w-4=w54

You collect a random sample of size n from a population and calculate a 98% confidence interval. Which of the following strategies produces a new confidence interval with a decreased margin of error?

A: Use a 99% confidence level.
B: Use a 95% confidence level.
C: Decrease the sample size.
D: Use the same confidence level, but compute the interval n times. Approximately 2% of these intervals will be larger.
E: Nothing can guarantee that you will obtain a larger margin of error. You can only say that the chance of obtaining a larger interval is 0.02.

Answers

Answer:

B: Use a 95% confidence level.

Step-by-step explanation:

In the case when the random sample size from a population is collected and it determined the 98% confidence interval so that decrease the margin of error is to use a 95% confidence interval as it is needed to have a less critical value

So according to the given options, the option B is correct

-18+x=-x+12
This one ??

Answers

Answer:

X = 15

Step-by-step explanation:

Let's solve your equation step-by-step.

−18+x=−x+12

Step 1: Simplify both sides of the equation.

x−18=−x+12

Step 2: Add x to both sides.

x−18+x=−x+12+x

2x−18=12

Step 3: Add 18 to both sides.

2x−18+18=12+18

2x=30

Step 4: Divide both sides by 2.

2x/2 30/2 = 15

Order the numbers from least to greatest 3/10, 0.34, 27%, 3/8​

Answers

Answer:

3/10,3/8,27%,0.34

Step-by-step explanation:

Answer:

27%, 3/10, 0.34, 3/8

Step-by-step explanation:

I just made them all decimals (same as percent)

3/10=0.30

3/8= 0.375

hope this helps pls mark brainleist

27 is 50% of what number? Enter your answer in the space below.​

Answers

Answer:

54

Step-by-step explanation:

50% is half
so 27 is half of 54

find the value of given expression

[tex] \sqrt{312 \times 312} [/tex]

Answers

Step-by-step explanation:

[tex]

\sqrt{312 \times 312} \\ = \sqrt{312 ^{2} } \\ = 312

[/tex]

Hope it will help :)❤

Answer:

√{312×312}=√312²=±312 is your answer

If X:Y = 4:5 and x+y=144, then the values of x and y respectively are
A= 74 and 70
B= 70 and 74
C= 80 and 64
D= 64 and 80​

Answers

Answer:

b

Step-by-step explanation:

domt knowsjsbjsodnsodndjdns

help me please! someone?

Answers

Answer:

105 for 3 hours

Step-by-step explanation:

First we have to find that how much he is charged for 1 hour.

140 : 4 = 35 per hour

Then we have to find how much he is charged for 3 hours by multiplying with 3.

3 x 35 = 105 per 3 hours

Answer:

£105

Step-by-step explanation:

let y represent the unknown amount

£150 = 4 hrs

y = 3 hrs

we then cross multiply

£150 x 3 hrs = y x 4 hrs

450= 4y

divide both sides by 4

450/4 = 4y/4

105 = y

Find the area of the
trapezoid (explain ur answer)

Answers

Answer:

49

Step-by-step explanation:

8*7=56

7*6=42

56+42=98

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Erik and Heather weigh a total of 260 pounds. If Erik weighs 135 pounds, how much does Heather weigh?

Answers

You subtract 135 from 260

260-135=125 pounds

Therefore Heather weighs 125 pounds

Answer:

subtract 260-135=120

Step-by-step explanation:

In the diagram below, what is the measure of the missing angle?

Answers

Answer:

Answer is 62 degrees.

Step-by-step explanation:

The sum of all angles of a triangle is 180°

x + 70 + 48 = 180

x + 118 = 180

x = 180 - 118

x = 62

What two numbers multiply to get 7 and add to get -8

Answers

Answer:

-7 and -1

Step-by-step explanation:

-7x-1=7

-7-1=-6

-7 and -1

- have a great day

Explain why the relation represented by each equation is or is not linear.
a. y=2+3x
b. y=2x(x - 5) - 2x2
C. y=4x2
d. y= 500

Please help T-T

Answers

Answer:

A, b, c, y are linear becouse every value of domain has one value in range

Step-by-step explanation:

If you need any explanation in it or anything on math you can communicate with me on Whats on this number +201557831028 or in email or face or anything

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Answers

X = 18

Add the two valleys together and set them equal to 90. Then solve

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Please help this is for my final

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Answer: It is D

Step-by-step explanation: its is the placement Pretty basic.

Answer: D

Step-by-step explanation:

ap3x verified!!!

what is your first step when solving x/15 = 3/5? Explain
I need this by tonight

Answers

Answer:

Let's solve your equation step-by-step.

x

15

=

3

5

Answer:

x=9

Step-by-step explanation:

Solve each equation.Show your work.
Can someone help me please??​

Answers

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

A table showing pairs of r- and yvalues is shown below.
х
у
0 0.5
1 1.5
2. 4.5
3 13.5
4 40.5
Which equation describes the relationship between the pairs of r- and y-values?

Answers

Answer:

4

Step-by-step explanation:

answer these 4 questions

Answers

Answer:

11) A=84.7m²

12) A=75.2km²

13) A=28.05ft²

14) A=48yd²

Step-by-step Explanation:

11) A = 1/2(bh)

A = 1/2(14×12.1)

A = 1/2(169.4)

A = 84.7m²

12) A = 1/2(bh)

A = 1/2(16×9.4)

A = 1/2(150.4)

A = 75.2km²

13) A = 1/2(bh)

A = 1/2(5.1×11)

A = 1/2(56.1)

A= 28.05ft²

14) A = 1/2(bh)

A = 1/2(16x6)

A = 1/2(96)

A = 48yd²

Answer:

11) A=84.7m²

12) A=75.2km²

13) A=28.05ft²

14) A=48yd²

Step-by-step explanation:

WILL MAKE BRAINLIST!!!!!!
Explain when you should reverse the inequality symbol when solving an equality.

Answers

Answer:

To do this, subtract 6 from both sides. − 3_x_ + 6 − 6 > 12 − 6. −3_x_ > 6. Now divide both sides of the inequality by −3. Since you're dividing by a negative number, you need to flip the inequality sign.

Step-by-step explanation:

Approximately how much fuel can fit into a tanker truck with a radius of 4 feet and a height of 32 feet?

Answers

Assuming you do 4*32, it would be 128 feet

Joon is buying lotion for her mom's birthday. The lotion was originally priced at $18 but is now on sale for 20% off. How much will Joon pay for the lotion?

Answers

Answer:

Discount price= $14.4

Step-by-step explanation:

Giving the following information:

Original selling price= $18

Discount rate= 20% = 0.2

To calculate the discount price, we need to use the following formula:

Discount price= selling price * (1 - discount rate)

Discount price= 18 * (1 - 0.2)

Discount price= $14.4

suppose the expression was (12-3) to the second power would you have to still simplify 3 to the second power first explain

Answers

You would take which ever number is taken to the power sat it was 12 to the power of 2+4, you would take the 12 not the 4, Hope this helps!

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