A red cross helicopter takes off from headquarters and flies 120 km at 45 degrees south of west. There it drops off some relief supplies, then flies 125 km at 20 degrees west of north to pick up three medics. If the helicoper then heads directly back to headquarters, find the distance and direction it should fly.

Answers

Answer 1

Answer:

129.5km

9.78° North of east

Step-by-step explanation:

Let say HQ is at the origin (x = 0, y = 0)

the coordinates of the helicopter after the 1st flight can be expressed below as

X1= -120 cos45=84.85km

Y1= -120 sin45= -84.85km

its coordinate after the 2nd flight can be expressed as

X2= x1 - 125sin20

= -84.85-42.75

=-127.6km

Y2= y1- 125cos60

=-84.5+62.5

=-22km

The distance and it's direction for it to fly back to its HQ can be calculated as

S= √(22^2 + 127.6^2 )

=129.48km

Tan θ= y2/y1

=22/127.6= 0.1724

Tan-1(0.1724)

= 9.78° North of east

Hence, the distance and direction it should fly is 129.48km and 9.78° North of east respectively


Related Questions

please help me if you cool please

Answers

the correct isgraph A
Hi there! The correct answers is graph “a.”

Explanation:

y=150x+900
900 is the y-intercept, and on graph “a,” the line segment goes through (0,900)

Hope this helps! Mark brainliest if possible please! :D

what is the answer
(x³)^4

Answers

Answer:

the answer is x^12

Step-by-step explanation:

multiply 3 by 4 and you get 12

Answer:

Step-by-step explanation:

x^3^4

x^12  multiply the powers

17 divided by 765
...

Answers

Answer:

0.02

infinete 0.0222222222

Step-by-step explanation:

or 45

please help and answer

Answers

Answer:

C and E

Step-by-step explanation:

C involves like terms, containing the variable k.

E also:  the variable in question is a.

When solving a system of two linear equations algebraically, how can you tell if the system has exactly one solution?

A.There will be one set of ordered pairs for each equation that make up the solution.


B. There will be exactly one value for x and one value for y that makes both equations true.


C. The algebraic process will result in a numerical statement that is always true.


D.The algebraic process will result in a numerical statement that is never true.

Answers

Answer:

ther will be exactly one value. the answer is b

HELP ASAP! Brainliest and 15 points! This is really important
Give explaination and/or show work if you can please

Answers

Answer:

Step-by-step explanation:

The first one is the third root of 5^2. The denominator represents the root in which you're taking, in this case the third root, and the numerator represents the exponent that will be underneath the radical with the integer

The second one is the square root of 5. Anytime you see a 2 as the denominator in an exponent you're just taking the square root

The third one is the fifth root of 3^2, as explained by the first one

The fourth one is the square root of 3^5, as explained with the second one

Given the figure below, solve for x:

Answers

Answer:

46uusuhdhuduhsbsu7sheheususysyw7wuwuw

Answer:

x=12

Step-by-step explanation:

70+50= 120

180-120= 60

60/5=12

198.8 grams ≈ ounces

Answers

Answer:

7.0124636 ounces

Step-by-step explanation:

Im really sorry if this is wrong but I think it's right

What shape is this I need help

Answers

Answer:

Pyramid/Triangle Prism

Step-by-step explanation:

pyr·a·mid

/ˈpirəˌmid/

Learn to pronounce

See definitions in:

All

Archaeology

Egyptian History

Geometry

Anatomy

Finance

noun

1.

a monumental structure with a square or triangular base and sloping sides that meet in a point at the top, especially one built of stone as a royal tomb in ancient Egypt.

2.

an object, shape, or arrangement in the form of a pyramid.

"a pyramid of logs"

verbNORTH AMERICAN

your dad is designing a new garden for your backyard. he has 21 ft of fencing to go around the garden. he wants the length of the garden to be 1 ½ feet longer than the width. how long should he make the garden?​

Answers

Answer:

The garden is 4.5 ft by 6 ft.

Step-by-step explanation:

2x + 2(x+1.5) = 21

2x + 2x + 3 = 21

4x = 18

x = 4.5

gordon types 3,420 words in 45 minutes. Find the unit rate.
Gordon types ___ words per minute.

Answers

76 I used a calculator
76 words per minute Because if you do:
49=3420 and ur solving for 1 minute you’d dived 3420/49 witch would being u to 76

21,28,35 determine whether the triangle is acute, right,obtuse, or not a triangle.

Answers

Answer:

I believe it is an acute triangle but im not 100% sure

Step-by-step explanation:

The triangle with sides 21 , 28 and 35 is a right angle triangle

What is a Triangle?

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the base of the triangle is BC = 21

The height of the triangle AB = 28

The hypotenuse of the triangle is AC = 35

And , for a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

Substituting the values in the equation , we get

35² = 21² + 28²

On simplifying the equation , we get

1225 = 441 + 784

1225 = 1225

Hence , the triangle is a right angle triangle

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ2

Which expression is equivalent to 10 - 810−810, minus, 8? Choose 1 answer: Choose 1 answer: (Choice A) A 10+(-8)10+(−8)10, plus, left parenthesis, minus, 8, right parenthesis (Choice B) B 8-108−108, minus, 10 (Choice C) C 10-(-8)10−(−8)10, minus, left parenthesis, minus, 8, right parenthesis (Choice D) D -8-10−8−10minus, 8, minus, 10

Answers

Complete Question

Which expression is equivalent to 10 - 8?

Answer:

(Choice A) 10 + (-8)

Step-by-step explanation:

Which expression is equivalent to

10 - 8?

Comparing the options

(Choice A) 10 + (-8)

The rule = + × - = -

Hence

10 + (-8)

= 10 - 8

Choice A is correct

Choice B) 8-10

8 - 10, Choice B is incorrect

(Choice C) 10-(-8)

The rule states that:

- × - = +

Hence,

10 -(-8)

= 10 + 8

= 18

(Choice D) -8-10

-8 - 10

= -18

This is incorrect.

Choice A is the correct option which is the expression is equivalent to 10 - 8.

Answer:

10+(-8)

Step-by-step explanation:

Khan Academy

Solve for P:

9(p−4)=−18

Please Explain

Answers

Answer:

p = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(p - 4), or the left side of your equation you presented.

9(p - 4) = -18

9*p - 9*4 = -18

9p - 36 = -18

Add 36 on both sides to isolate the variable (in this case, p)

9p = -18 + 36

You can also write it like this; 9p = 36 - 18

9p = 18

Divide 9 to isolate p

p = 2

So, we would get (p = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

Pls can someone help me factorise this: a²+9a+8

Answers

Answer:

(a + 8)(a + 1)

Step-by-step explanation:

We know that the first term is squared, so we can put it out like this:

a * a

The third term has to be separated so that the sum of the two factors is the coefficient of the second term, 9.

8 = 4 * 2 (does 4 +/- 2 = 9? nope, we can't use that)

8 = 8 * 1 (does 8+/- 1 = 9? yes, when 8 + 1)

So the factor is a + 8 and a + 1.

Put this together and (a+8)(a+1)

Given the four vectors in component form:

a = 4i – 4j

b = –5i + 8j

c = –i – 3j

d = 6i + 2j

Choose the expression that produces the following resultant vectors.

6i + 9j =

2j =

–8i + 13j =

Answers

Answer:

A C D B

Step-by-step explanation:

Combine the like terms to create an equivalent expression 5t+10-4-t

Answers

Answer:

4t+6

Step-by-step explanation:

Answer:

4t + 6

Step-by-step explanation:

Trust me I got it on Khan Academy :D

How do ratio tables help when making predictions?

Answers

Answer:

it helps you know what to divide

Kendy and Fred keep borrowing and losing John’s pens. So John went to the store with $24 to spend on seven pens. After buying them he had $10. How much did each pen cost?

SHOW YOUR WORK.

Answers

Answer: each pen costed him 2 dollars

Explanation: 24 - 10 = 14
14 / 7 = 2 $ per each pen

hurry pls i have an test plssssssssssssssssssssssssssssssssss

Answers

Answer:

1. -75 ft

5/8 X  -120=    

5/8= 0.625

0.625*-120 = -75

2. 5

(-2/3) * (2.5) * (-3)

(2.5) * (-3) is -7.5

-7.5*(-2/3)

=5

pleaseee help mee! i’m so confused:(((

Answers

The answer to your problem is 20.

can someone help me please with this question please
..0.75h + 3 = 12

Answers

the answer for this is h=12

I’m behind on math need help I’m mark the correct answer the brainliest *i can’t spell*

Answers

Answer:

C I think

Step-by-step explanation:

C I think

if it Is correct give me brainliest

Please help me!!!! Thank you

Answers

Answer:

A and D

Step-by-step explanation:

Divide 24L into the ratio 3:3:2

Answers

Answer: 9:9:6

Step-by-step explanation:

3+3+2= 8

3/8*24= 9

3/8*24= 9

2/8*24= 6

24l in ratio 3:3:2 is 9:9:6

5 points
13. Max remodeling his living room and is having carpet installed. The
installation fee is $300.00. The carpet is priced at $3.75 per square foot, X.
Which equation best represents the total cost, y, of the remodel?*
OA) y =300x + 3.75
B) y= 3.75-300x
C) y = 3.75x + 300
D) y = 303.75x

Answers

Answer:

i think its C

Step-by-step explanation:

hope this helped:)

I WILL MARK BRAINIEST
please answer question 10

Answers

Answer:

a. number first is correct ones

Step-by-step explanation:

have a good day ....

Answer:

B. be congruent the shape of the rectangle and the length between the points will not change.

Step-by-step explanation:

James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam. During this time, he has read a total of StartFraction 6 Over 7 EndFraction of the book. What fraction of the book did he read each night?

Answers

Answer:

3/28

Step-by-step explanation:

James read an equal number of pages of his book each night for 8 nights to prepare for his upcoming exam.

The total fraction of the book he read in 8 nights = 6/7

Hence,

8 nights = 6/7

1 night = x

Cross Multiply

8x = 6/7 × 1

x = 6/7 ÷ 8

x = 6/7 × 1/8

x = 3/28

Therefore, every night, the fraction of the book he has read is 3/28

Simplify the following expression five to the power of -3

Answers

Hmm I wonder too this is my question exactly crazy.

Mikayla evaluated the expression 0.86 times 23.4 using the steps shown below.

0.86 times 23.4 = 344. 344 + 2580 + 17200 = 201.24

Which best explains Mikayla’s error?

Answers

Answer:

she moved the decimal incorrectly

Step-by-step explanation:

mikayla evaluated the expression 0.86 × 23.4 using the steps shown below.

0.86

× 23.4

344

2580

+ 17200

= 201.24

cAnswer:

Step-by-step explanation:

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