A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?

Answers

Answer 1

Answer:

69.46 km

Step-by-step explanation:

Just did on Edge 2020

Answer 2

The distance of the plane from its original location is 69.46 km

What is Pythagoras theorem?

The Pythagoras theorem states that if a triangle is right-angled, then the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Formula of Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

According to the question

A plane flies 35 km in the direction N 30° W,

and then flies 60 km in the direction N 60° E

i.e

When we plot its figure

we will observe it will form a right angled triangle

with perpendicular = 35 km ,  Base = 60 km

and Hypotenuse = distance form original location to current location

Now,

By using the formula of Pythagoras theorem

Hypotenuse² = Perpendicular² + Base²

Hypotenuse²  = 35² + 60²

Hypotenuse² = 4825

Hypotenuse = 69.46 km

Hence, the distance of the plane from its original location is 69.46 km.

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A Plane Flies 35 Km In The Direction N 30 W, Then Flies 60 Km In The Direction N 60 E. How Far Is The

Related Questions

On the number line, a point was moved from -7 to -3. Which of the following problems describes this move?
-7 + 3 = -4
-7-4 = -3
-7-3 = -10
-7+ 4 = -3

Answers

Answer:

-7+-3=-4

Step-by-step explanation:

Solve for x. 3(5 + 4x) = 75

Answers

Answer:

3(5+4x) = 75

Step-by-step explanation:

Step 1: Distribute. --> 3(5+4x) = 75

                                   15 + 12x =75

Step 2: Find X. ---> 15 + 12x = 75

                               -15            -15

                                      12x = 60

Step 3: Divide.                12      12

Answer: x = 5

Answer:

X=5

Step-by-step explanation:

Which of the following is a rearrangement of A
(61 +62) · h
that highlights the variable h?

Answers

Answer:

123 x h because you can't put them together but we can add the stuff that is already there so we get 123 and times h thats our answer

what is 2.99 x 0.6 in dollars and cents plz help:(

Answers

Answer:

the answer is 1. 794

Step-by-step explanation:

Answer:1.794 is the answer to you question.                                                  

Step-by-step explanation:

Which of the following is an arithmetic sequence with common difference 2

Answers

Answer:

D

Step-by-step explanation:

The arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed as the arithmetic progression.

A number series is a number-based sequence. In the number series questions, we must identify the rules that lead to the formation of a number series.

The common difference is equal to 2. The arithmetic sequence will be written as,

13,15,17,19

Therefore, the arithmetic sequence with a common difference of 2 is 13,15,17,19. The correct option is D.

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Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?

Answers

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

Bailey is inviting people to her wedding and wants to stay at or below her budget of $4,500 for the food. The cost will be $65 for each adult's meal and $20 for each child's meal. Part A: Write an inequality to represent the situation. Part B: If there are 63 adults coming, what is the maximum number of children attend and eat the meal? Why?

Answers

for part A) if a represents the number of adults and c the number of children

The answer for part is in the picture because brainly doesn’t let you put inequality’s

For part B) the maximum number of children is 20

Is -5.375 a rational number

Answers

Answer:

Irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

Write the equation of the line that has a slope of 3 and passes through (5, 11)
y = 3x - 26
y = 3x - 38
y = 3x - 4
x = 3y - 4

Answers

Answer:

3x-4

Step-by-step explanation:

y=ax+b general type of the line

a is the slope

y=3x+b

put 5 instead of the x and put 11 instead of the y

11=15+b

b=(-4)

Equation is 3x-4

8 (x + 5) + 4 = 60
........

Answers

Answer:

or, 8×x+ 40+4= 60

or,8x+44=60

or,8x= 60- 44

or,8x= 16

or,x= 16/8

or,x= 2

:. x= 2

Step-by-step explanation:

first we have to multiply . if there is plus we have to do minus .then it came answer .then we can divide and we can get the value of x

Answer:
x = 2
General Formulas and Concepts:
Pre-Alg
- Order of Operations: BPEMDAS
Step-by-Step explanation:
Step 1: Define
8(x + 5) + 4 = 60

Step 2: Solve for a
1. Distribute 8: 8x + 40 + 4 = 60
2. Combine like terms: 8x + 44 = 60
3. Isolate x term: 8x = 16
4. Isolate x: x = 2

Step 3: Check
Plug in x to verify it’s a solution.
1. Substitute: 8(2 + 5) + 4 = 60
2. Add: 8(7) + 4 = 60
3. Multiply: 56 + 4 = 60
4. Add: 60 = 60

Write a situation that could be represented by the algebraic expression 3a + 2.15.

Answers

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

5.15 - 2.15 = 3a

3.15 = 3a

a = 0.05

I hope this helps you :)

In an 11 team soccer league, each team plays once what is the total amount of games played?

Answers

Answer:

22

Step-by-step explanation:

11 x 2 = 22

22 teams played

A small rectangle has a width of 4ft and a length of 10ft. A larger rectangle has a length of 12ft. What is the perimeter of the larger rectangle?

Answers

Answer:

48 I think

Step-by-step explanation:

12+12+12+12=48

or 12 x 4=48

Answer:

48

Step-by-step explanation:

12+12+12+12 = 48

or

12x4=48

Which statement is true about perpendicular lines?

Help please!!

Answers

Answer:

The answer is that they intersect at the right angles 90°

Answer:

they intersect at right angles (90 degrees)

Step-by-step explanation:

BB is paid straight commission at a rate of 9.35%. last week he sold $6000. How much money did he make?
A. 6900.00
B. 56100
C. 4551.00
D. 451.00

Answers

Answer

how much is like saying time the this

Step-by-step explanation:

60,000 time 9.35%= 56100

three fourth c = five ninthe

Answers

Answer:

Step-by-step explanation:

3/4c=5/9

C=5×4/9×3

C=20/27

Question 6 of 10
Which of the following are solutions to the equation below?
Check all that apply
2x2 + 6x = 20
A. -5
B. 20
C. -2
D. 1
E. 2
F -10

Answers

b , e , a are the correct answers

Answer:

-5 and 2

Step-by-step explanation:

At the movie theater you bought a large popcorn and a soda for $18. The cost of the popcorn
was $12. How much was the soda

Answers

Answer:

$6

Step-by-step explanation:

18-12=6

sksmskskssksksk

Answer:

$6

Step-by-step explanation:

18-12=6

Eight year-old Alex is learning to ride a
horse. The trainer says that a horse
ages 5 years for every 2 human years.
The horse is now 50 years old in human
years. How can you determine the age
of the horse, in human years, when Alex
was born?
Hint: Use a table or a graph to
help you find the solution.
Show your work.

Answers

Answer:

The age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years.

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

Step-by-step explanation:

Current age of Alex = 8

Current age of the horse in human years = 50

Since the age of the horse is already stated in human years, it implies there is no need to convert the age of the horse again.

Therefore, since Alex is a human who was born 8 years ago, the age of the horse, in human years, when Alex was born can be determined by simply deducting the Current age of Alex from the Current age of the horse in human years as follows:

The age of the horse, in human years, when Alex was born = 50 - 8 = 42

Therefore, the age of the horse, in human years, when Alex was born was 42 years.

This can be presented in a table as follows:

                               Age of Alex        Age of the Horse (in human years)

Eight years ago              0                                           42

Current age                    8                                           50



Help me pleaseeeeee!!

Answers

Answer:

A

Step-by-step explanation:

A well is to be dug at the location in the diagram. Use the diagram for the parts.

The equation that represents the road is y= ______​

Answers

Answer:

[tex] y = \frac{1}{6}x - 5 [/tex]

Step-by-step explanation:

The equation that represents the road can be written as [tex] y = mx + b [/tex]

Find, m = slope, and b = y-intercept of the line.

Using two points on the line, (-6, -6) and (6, -4), find the slope:

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-6)}{6 -(-6)} = \frac{2}{12} = \frac{1}{6} [/tex]

Substitute x = -6, y = -6, and m = ⅙ into [tex] y = mx + b [/tex] to find b.

[tex] -6 = \frac{1}{6}(-6) + b [/tex]

[tex] -6 = -1 + b [/tex]

Add 1 to both sides

[tex] -6 + 1 = b [/tex]

[tex] -5 = b [/tex]

Substitute m = ⅙, and b = -5 into [tex] y = mx + b [/tex].

✅The equation that represents the road would be:

[tex] y = \frac{1}{6}x + (-5) [/tex]

[tex] y = \frac{1}{6}x - 5 [/tex]

pls give the answer​

Answers

Answer:

It should be 245 m

Step-by-step explanation:

Separate it like this:

chop of the rectangle part and find the area of that and then add it to the trapezoid part

10*20 = 200.

Area of a trapezoid = 5+10/2 *6.

5+10 = 15. 1

5/2 = 7.5.  

7.5*6 = 45.

45 + 200 = 245

can someone please help me with this problem!!

Answers

Answer:

Step-by-step explanation:

the bat is 12. the pumpkin is 5. and the weird looking thing is 14

14 plus 14 plus 12 is 40

12 minus 5 is 7

5 plus 14 is 19

14 minus 5 plus 12 is 21

Answer:

  21

Step-by-step explanation:

Green bat:   x

Purple bat:   y

  Pumpkin:   z

Given:

  2x + y = 40

  y - z = 7                ===>      y = 7 + z

  z + x = 19             ===>       z = 19 - x

Substitution to find green bat x:

  2x + y = 40

  2x + (7 + z) = 40

  2x + 7 + z = 40

  2x + 7 + (19 - x) = 40

  2x + 7 + 19 - x = 40

  x + 26 = 40

  green bat:  x = 14

Substitution to find pumpkin z:

  z + x = 19

  z + (14) = 19

  z + 14 = 19

  pumpkin:  z = 5

Substitution to find purple bat y:

  y - z = 7

  y - (5) = 7

  y - 5 = 7

  purple bat:  y = 12

Solve for x - z + y:

  14 - 5 + 12 = 21

Select the correct locations on the graph. Select the lines that represent functions.

Answers

Answer:

bruh there isnt a graph or anything we cant answer it

Step-by-step explanation:

Answer:

where is it

Step-by-step explanation:

A baseball camp is held at a complex that has 6 baseball diamonds. The coaches would like each diamond to have the same number of campers. Use divisibility rules to determine whether this is possible if 152 kids show up for the camp.

Answers

Answer:

Using divisibility rules, it is impossible to have exactly the same number of kids in each of the diamonds

Step-by-step explanation:

Here, we want to use divisibility rule to check for the possibility of 152 kids showing for the kids

Since we need exactly equal number of kids in each of the diamonds, we are going to test the possibilities that we can share 152 to have the same number of campers in each of the diamond

Mathematically 152/6 = 25.3333

Since we have a remainder for the division, it is impossible to share the campers equally in the six diamonds if 152 kids show up for the camp

17 points
Jeremy drove 18.04 miles on Monday, 18.4 miles on Tuesday, 17.68 miles
on Wednesday, and 17.86 miles on Thursday. Which shows the distances
written in order from greatest to least? *
17.68, 17,86, 18.04, 18.4
18.04, 18.4, 17.86, 17.68
17.86, 17.68, 18.4, 18.04
O 18.4, 18.04, 17.86, 17.68

Answers

Answer:

D. 18.4, 18.04, 17.86, 17.68

Step-by-step explanation:

Very Easy!

Find the rate of change of the linear function
shown in the graph, Then find the initial value.
The rate of change is

Answers

Answer:

6

Step-by-step explanation:

dfsfads

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,791 was collected on the sale of 1,275 tickets. How many of each type of ticket were sold?

Answers

9514 1404 393

Answer:

379 adult tickets896 student tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then (1275-a) is the number of student tickets sold. The total revenue was ...

  5a +1(1275 -a) = 2791

  4a = 1516 . . . subtract 1275 and simplify

  a = 379 . . . . . divide by 4

  1275-a = 896

379 adult and 896 student tickets were sold.

HURRY PLEASE!!!!!!!

What is the argument of z = 1/16 - square root of 3/16 i?

Answers

Answer:

A

Step-by-step explanation:

Edg2020

The value of the argument of z is -π/3.

What is the argument of z?

The angle that the line from Ф, z to the origin creates with the positive direction of the real axis is known as the argument of z is Ф, and it is variously represented by the symbols arg ( z ), (z) or Ф. Because it is an argument of z is Ф, then 2 nπ + Ф is likewise a valid argument, the argument of z can take on any number of conceivable values.

We define a singular value known as the major argument of z to be more precise.

Given z = 1/16 - √3/16i

equation of z is x + iy

here x = 1/16 and y = -√3/16

to find the angle,

tanФ = y/x

tanФ = (-√3/16)/(1/16)

tanФ = -√3

Ф = tan⁻¹(-√3)

Ф = -π/3

Hence  arguement of z is -π/3.

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4)
Ben, Joe and Alex bought flowers for their girlfriends at the same store.
Ben bought 5 roses, 8 daisies, and 2 carnations for $14.50. Alex bought
3 roses, 12 daisies, and 1 carnation for $14.00. Joe bought 10 roses, 1 daisy
and 3 carnations for $17.25. How much was one rose and one carnation?
rose:
carnation:

Answers

Answer:

1 rose cost $1.5

1 carnation cost $0.5

Step-by-step explanation:

Let the price for one rose be r, price for one daisies be d and the price for one carnation be c

For Ben;

5r + 8d + 2c = 14.5

For Alex

3r + 12d + c = 14

For Joe

10r + d + 3c = 17.25

From equation iii;

d = 17.25- 10r - 3c

Insert this into the first two equations;

5r + 8(17.25-10r-3c) + 2c = 14.5

5r + 138 - 80r -24c + 2c = 14.5

-75r -22c = -123.5

Thus;

75r + 22c = 123.5

Insert the formula for d in the second equation;

3r + 12(17.25-10r-3c) + c = 14

3r + 207 - 120r -36c + c = 14

-117r-35c = 14-207

117r + 35c = 193

So we have two equations to solve simultaneously;

75r + 22c = 123.5

117r + 35c = 193

Multiply first equation by 35 and second by 22

2625r + 770c = 4322.5

2574r + 780c = 4246

Subtract second from first

51r = 76.5

r = 76.5/51

r = 1.5

Insert this in the equation below;

75r + 22c = 123.5

75(1.5) + 22c = 123.5

112.5 + 22c = 123.5

22c = 123.5-112.5

22c = 11

c = 11/22

c = 0.5

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