A helicopter flies from the airport on a course with a bearing of 21 degrees. After flying for 99 ​miles, the helicopter flies due east for some time. The helicopter flies back to the airport with a bearing of 227 degrees. How far did the helicopter fly on the final leg of its​ journey?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the question we are told that:

Initial bearing [tex]\angle _1=21 \textdegree[/tex]

Initial distance [tex]d_1=99miles[/tex]

Final bearing [tex]\angle _2=227 \textdegree[/tex]

Let [tex]\triangle OAB[/tex] be the perimeter travailed

[tex]\angle OAB=90+21=111 \textdegree\\\angle ABO=270-227=43 \textdegree[/tex]

 

Generally the equation for OB using sine rule is mathematically given by

[tex]OB=99*\frac{sin111}{sin43}[/tex]

[tex]OB=135.52miles[/tex]

Therefore the helicopter flight on the final leg of its​ journey is

[tex]OB=135.52miles[/tex]


Related Questions

A man travels 2 miles, turn left and travels 3 miles, turn left again and travel 6 miles. How far is he from the starting point?​

Answers

Answer: 5 miles

Step-by-step explanation:

this creates a polygon which can be shortened to be a triangle with side lengths 3 and 4 and the hypotenuse unknown. to find the side length you use the formula a^2 + b^2 = c^2

3^2 + 4^2 = c^2

9 + 16 = c^2

25 = c^2

sqrt(25) = c

c = 5



Team A is located on the south bank of a river. Teams B and C are located on the north bank. The angle formed from Team C to Team A is S 20o W. Team C is 45 feet due west of Team B and 25 feet from Team A. How far is Team A from Team B?

Answers

Answer:

Step-by-step explanation:

Given :

Using cosine rule :

c² = a² + b² - 2abCosC

c² = 45² + 25² - 2(45)(25) - cos70

c² = 2650 - 2250 * - 0.3420201

c² = 2650 + 769.54532

c² = 3419.5453

c = sqrt(3419.5453)

c = 58.476

c = 58.5 feets


Y= -16x^2+181x+59 is the question

Answers

Answer:16x2 + 181x + 59

Step-by-step explanation:It cannot be factored

Answer:

Step-by-step explanation:

11.26 is the correct answer

50 Points!!!!!!!!
A shipping container is in the shape of a right rectangular prism with a length of 2
feet, a width of 5 feet, and a height of 1.5 feet. The container is completely filled with
contents that weigh, on average, 0.72 pound per cubic foot. What is the weight of the
contents in the container, to the nearest pound?

Answers

Answer:

102 pounds

Step-by-step explanation:

Find the surface area of the rectangular prism​

Answers

Answer:

430 cm squared

Step-by-step explanation:

SA= 2(Length x Base, Base x Height, Height x Length)

15cm x 5cm +

15cm x 7xm +

7cm x 15cm =

215cm

215cm x 2 = 430 cm squared.

(it's perimeter of a 3D object so it must be squared, then volume would be cubed)

I hope this helps <3

(Will Give Brainliest)

Answers

Answer:

A. (-4, -4)

Step-by-step explanation:

According to the word problem, a dilation of (0.75x, 0.75y) is applied to a triangle.

This means the original coordinates were enlarged/multiplied by 0.75.

We can multiply the coordinates at the bottom by 0.75 to see if we get any of the resulting images' coordinates.

OR

We could divide the resulting images' coordinates by 0.75 to see if we get any of the answers on the bottom.

For instance,

(-3, -3)

-3 / 0.75 = -4 (x-coordinate)

-3 / 0.75 = -4 (y-coordinate)

This means (-4, -4) were the original coordinates of (-3, -3) before the dilation of 0.75.

Which of the following is the graph of f(x) = 3x - 4[ + 1?

Answers

Answer:

The first answer choice I think

Step-by-step explanation:

to the right 4 units

up one

vertical compression by 3

What problems did Title IX address? Check all that apply.

lack of support for international students

limited opportunities for female athletes

limited resources in scientific courses of study

lack of scholarships and championships for women in sports

limited resources and facilities for women

Answers

Answer:

limited resources and facilities for women

lack of scholarships and championships for women

limited opportunities for female athletes

2,4,5

Statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

What is Title IX?

Title IX is a potent instrument for fighting campus violence because it is a federal (national) legislation. To ensure that all students have equal access to education, the law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

As per the Title IX law:

Limited opportunities for female athletes.Lack of scholarships and championships for women in sports.Limited resources and facilities for women.

Thus, statement two, four, and five are correct title IX law mandates institutions to obtain federal assistance to combat gender-based violence and harassment and respond to survivors' needs.

Learn more about the Titel IX law here:

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If CosA= sqrt 3/2, what is TanA?​

Answers

Answer:

√(3)/3

Step-by-step explanation:

cos(A) = adj./hyp.

adj. = √(3) or √(3)/2

hyp. = 2 or 1

use unit circle:

hyp. = 1

adj. = √(3)/2

use pythagorean theorem c² - b² = a²

1² - (√(3)/2)² = 1 - 0.75 = 0.25

a² = 0.25

a = √(0.25)

a = 0.5

tan(A) = opp./adj.

tan(A) = 0.5/(√(3)/2)

tan(A) = 1/√(3)

rationalize

tan(A) = √(3)/3

I need help with this question​

Answers

Answer:

I thinks its F because you cant factor it

Step-by-step explanation:

Answer:

F) The expression does not have a real factor

Help me with this problem ASAP

Answers

The answer is D. 4.

Write an equation of the line, in point-slope form, that passes through the points (–7, 2) and (3, –2). Use (–7, 2) as the point (x1, y1)

Answers

Answer:

first use the equation m = y2 - y1 / x2- x1 to get the slope

m = -2 - 2 = -4

m = 3 + 7 = 10 when there is a negative for x1 it turns positive

the slope is -4/10 or -2/5

now plus the info into the point slope equation

y - y1 = m (x-x1)

this is in point slope form y - 2 = -2/5 (x + 7)

This is how to get it in y-intercept form

y -2 = -2/5x + -2.8

now add -2 on both sides to the -2.8

y = -2/5x (Slope)  + -0.8 y- intercept

Hopefully this is right becuase this is just what i learned

Step-by-step explanation:

7. The answer is letter A or letter D
Find the next two terms in the sequence.

40, 10, –20, –50, . . .

A.
60, 80

B.
–80, –110

C.
–70, –100

D.
–70, –90

Answers

Answer:

B.

–80, –110

Step-by-step explanation:

-80 and -110

It is an arithmetic sequence. The difference = -30. It is the difference between each number in the sequence: 10-40=-30

-50-30=-80

-80-30 =-110

-80

First Identify the sequence being made here.

10-40 = -30

-20-10 = -30

-50-(-20) = -30

Therefor this pattern is decreasing by a rate of 30 so to continue this, just subtract 30 from -50.

-50-30 = -80

The next term is -80.

Hope I helped!

It should be B because all of them subtract 30...

⦁ Convert the vertex form of the equation you wrote above to standard form.

the vertex was ax+b(?)

Answers

Answer:

ax^2 + bx + c

Step-by-step explanation:

im pretty sure this answers your question

The standard form of the vertex form equation is y = 2x² - 12x + 17

How to convert the equation?

The vertex form of a quadratic equation is represented as:

y = a(x - h)² + k

Using the above form, the quadratic equation can be represented as:

y = 2(x - 3)² + 1

Expand

y = 2(x² - 6x + 9) - 1

Further expand

y = 2x² - 12x + 18 - 1

Evaluate the like terms

y = 2x² - 12x + 17

Hence, the standard form of the vertex form equation is y = 2x² - 12x + 17

Read more about vertex equation at:

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hello please help thanks

Answers

Answer:

density

Step-by-step explanation:

can you please help? no links please. I have to pass this

Answers

Answer:

Step-by-step explanation:

10 times 10 times 60 = 6000

6000 - (1600 + 2000) = 2,400

Answer:

7200 [tex]in^3[/tex]

Step-by-step explanation:

volume of the bottom + volume of the middle part + volume of the top part (I'm sorry this is so vague T-T)

[tex](8*60*10)+(2*40*10)+(8*20*10)= 4800+800+1600=7200[/tex]

help please? anyone?

Answers

Answer:

"so i need to find e missing side of each right triangle, side c is the hypotenuse!! a = 8.8ft, b= 9ft i have to round the answers to the nearest tenth if necessary "

Step-by-step explanation:

Sure! So remember that the Pythagorean theorem is a squared plus b squared = c squared.

= 8.8 squared + 9 squared = c squared

= 77.44 + 81 = c squared

[tex]\sqrt{158.44}[/tex] = c squared

c squared = (rounded) 12.6 ft

20 points
3 A quadrilateral has vertices (-4,-4), (-6, 4), (6,8), and (10, 2). What are
the coordinates of the vertices of the image after a dilation with the
origin as the center of dilation and a scale factor of 3.5? *
O (-14, -14), (-21, 14), (21, 28), and (35, 7)
(-6, -6), (-9,6), (9, 12), and (15,3)
(-10, -10), (-15, 10), (15, 20), and (25,5)
(-12, -12),(-18, 12), (18, 24), and (30, 6)

Answers

Answer:

I'll do the dilation for the first point and you will see the answer (please verify the second point)

Step-by-step explanation:

The dilation about the origin is straightforward, you just multiply the coordinates of each point by the scale factor.

so the dilated point for (-4,-4) is -4x3.5= -14 which is the same for the y coordinate.

so the dilated point for (-4,-4) is (-14, -14)

Please verify by computing the dilated point for (-6,4)

Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyramid is 6 cm and the height of the pyramid is 9 cm. To get the wax for the candle, Devin melts cubes of wax that are each 4 cm by 4 cm by 4 cm. How many of the wax cubes will Devin need in order to make the candle? Show your work.

Answers

The volume of the square pyramid is 6 x 6 x 9/3 = 108 cubic cm.

Volume of the cube = 4 x 4 x 4 = 64 cubic cm

Number of cubes needed: 108/64 = 1 11/16 cubes (1.6875)

Answer:

Solution given:

square pyramid

each side of base[b]=6cm

height[h]=9cm

Volume of square pyramid[V]=[tex] \frac{1}{3 } {b}^{2} h \\ \frac{1}{3} {6}^{2} \times 9 = 108cm ^{3} [/tex]

now

length of cube [l]=4cm

volume of cube[v]=l³=4³=64cm³

now

no of wax needed=[tex] \frac{V}{v} [/tex]=[tex] \frac{108cm³}{64cm³} [/tex]=[tex] \frac{27}{16 } =1\frac{11}{16} [/tex]

is needed.

find the compound interest on $500 for 8 years. if the interest rate is 3%

A.123.39
B.133.39
C.143.39
D.153.39​

Answers

Pretty sure it’s b...

Ok my question says "destiny and carla had a total of 3 gallons of paint to share for a project they had 1 gallon each yellow blue and red paint destiny used 3/8 gallon of yellow paint 1/2 of blue paint 1/4 of red paint carla used 1/4 of yellow 3/8 of blue and 1/4 of red then part a ask how much more paint in gallons did destiny use than carly

Answers

Answer: 1/4

Step-by-step explanation:

Since Destiny used 3/8 gallon of yellow paint, 1/2 of blue paint and 1/4 of red paint, the total paint used will be:

= ⅜ + ½ + ¼

= 3/8 + 4/8 + 2/8

= 9/8

= 1 1/8

Carla used 1/4 of yellow, 3/8 of blue and 1/4 of red. The total paint used will be:

= 1/4 + 3/8 + 1/4

= 2/8 + 3/8 + 2/8

= 7/8

The numybe of paint that Destiny use more than Carla will be:

= 1 1/8 - 7/8

= 2/8

= 1/4

Destiny used 1/4 paint more than Carla

please answerrrrrrrrr :)

Answers

Answer:

I think 25 IM AM SO SORRY IF ITS WRONG!!!!!!!!

Step-by-step explanation:

Answer:

20 inches

Step-by-step explanation:

Turn the middle triangle upside down and fit to the right of the trapezoid. Turn the left triangle upside down and fit it to the left of the trapezoid.

The triangles fit right in making the top side of the combined shape 20 inches long just like the bottom base of the trapezoid.

Answer: 20 inches

Please answer! I will mark you Brsinliest! The pictures are together.

Answers

Answer:

V = 65.97π

Step-by-step explanation:

Answer:

g00gle is a really great source for these questions!

Just put in the information and they do they work!

Step-by-step explanation:

66 inches cubed since you round up .03 decimals!

or 65.97 if you aren't supposed to round

Work out size of Angle x

Answers

Answer:

106

Step-by-step explanation:

all 3 of the angles add up to 360

you already know one is 164 and one is a right angle so

164 + 90 = 254

360 - 254 = 106

What is the value of x?
a . 75
b . 25.5
c . 8
d . 4.5

help meeee

Answers

Answer:

d. 4.5

Step-by-step explanation:

10x-5=16x+22

    -22      -22

10x-27=16x

-10x      -10x

-27=6x

x=4.5

The answer is d 4.5

Find the area of the figure.
13 m
6 m
8 m
4 m
4 m
area:
m2

Answers

Answer:

8m

Step-by-step explanation:

HELP FAST PLEASE I'LL MARK YOU BRAINLIEST

Jacky , a student in a geometry class said that the Quadrilateral is a Square. Is she correct? Justify your answer.

Answers

She of a quadrilateral is a shape with four sides and a square has four sides
An Quadrilateral has 4 vertices and 4 sides which resemblances the 4 sides and 4 vertices that a square has.

What is 1?1?1?1=6 pls help my brain id hurt rn​

Answers

Answer:

(1+1+1)!*1=6

Step-by-step explanation:

Point A is located at (-5, 2) on a coordinate grid. Point A is translated 4 units to the right and 2 units down to create point A.
Which measurement is closest to the distance between point A and point A' in units?
A)
4.1 units
B)
4.3 units
o
4.5 units
D)
4.7 units
We

Answers

the correct solution is A thanks

HELP MI PLSSS!!! I WILL GIVE POINTS AND BRAINEST!!!

Answers

Answer:

x≈5.3 feet

Step-by-step explanation:

[tex]\frac{4}{15} =\frac{x}{20}[/tex]

[tex]15x=80[/tex]

x≈5.3 feet

Answer:

5.3m tall

Step-by-step explanation:

15/4 = 3.75

20/3.75= 5.3333333

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