NO LINKS!! Part 8a: Please help me with this problem


THIS IS NOT MULTIPLE CHOICE!!!

a. Through what angle should the captain turn to head directly to Barbados?

b. Once the turn is made, how long will it be before the ship reaches Barbados if the same 15-knot speed is maintained?

NO LINKS!! Part 8a: Please Help Me With This ProblemTHIS IS NOT MULTIPLE CHOICE!!!a. Through What Angle

Answers

Answer 1

Answer:

26.38°  (nearest hundredth)

30.7960166... hours = 30 hours 47 mins 37 secs

Step-by-step explanation:

one knot = one nautical mile (nm) per hour

Therefore, 15-knot speed for 10 hours = 15 × 10 = 150 nm

Use cosine rule to find the distance between the ship and Barbados (blue dashed line on attached diagram).

Cosine rule:   c² = a² + b² - 2ab cos(C)

Given:

a = 150b = 600C = 20°

⇒ c² = 150² + 600² - 2(150)(600)cos(20°)

⇒ c² = 213355.3283...

⇒ c = 461.9040249... nm

Use sine rule to calculate smallest missing angle (red on attached diagram)

[tex]\sf \implies \dfrac{sin(A)}{150}=\dfrac{sin(20)}{461.9040249}[/tex]

[tex]\sf \implies sin(A)=\dfrac{150sin(20)}{461.9040249}[/tex]

[tex]\sf \implies A=6.376917848... \textdegree[/tex]

Sum of interior angles of a triangle = 180°

⇒ missing interior angle (green) = 180° - 20° - 6.376917848...° = 153.6230822...°

Angles on a straight line sum to 180°

⇒ x° = 180° - 153.6230822...° = 26.376917848...°

The distance between the Ship and Barbados is 461.9040249 nm

Therefore, to calculate the time, divide the distance by the speed:

t = 461.9040249... ÷ 15 = 30.7960166... hours

NO LINKS!! Part 8a: Please Help Me With This ProblemTHIS IS NOT MULTIPLE CHOICE!!!a. Through What Angle

Related Questions

evaluate 16 + 20/t for t =4
steps please

Answers

Answer:

21

Step-by-step explanation:16+20/t, T=4 so its 16 + 20/4, 20/4 is 5, 16+5 = 21.

which two number does the square root of 61 lie between on a number line?

Answers

The square root of 61 is about 7.81, so it lies in between the numbers 7 and 8.

Hope that helps!

12.Identify the type of triangle

Answers

Answer:

a) acute triangle

b) obtuse triangle

c) right-angled triangle

d) equilateral

e) isosceles, right-angled triangle

Step-by-step explanation:

If all the angles in the triangle are less than 90°, it is an acute triangleIf one angle in the triangle is a right angle, then it is a right-angled triangleIf at least one angle is above 90°, it is an obtuse triangleIf all the sides of the triangle are equal, it is an equilateral triangleIf two sides of the triangle are equal, it is an isosceles triangleIf no sides of the triangle are the same length, it is a scalene triangle

Hope this helps!

Evaluate the function at the given values.
h(x) = x² – 3x + 2
a. h(2)
b. h(-2)
c. h(0)
a. h(2)=

Answers

Answer:

h(2) =0

h(-2) =4

h(0) = 2

h(2) = 0

Step-by-step explanation:

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

h(-2) = 2^-2 -3(-2) +2 = -4+ 6+2=4

h(0) =0^2 - 3(0)+2 = 0-0 +2 = 2

h(2) = 2^2-3(2)+2 =4 - 6 + 2 = 0

help pleaseeeeee

1.) In the number 546,789, what digit indicates the value of "one hundred thousand"?
2.) What is the expanded notation of 8843?
3.) Write the following number in words: 38,403,277

Answers

1. 5
2. 8000 + 800 + 40 + 3
3. Thirty eight million, four hundred three thousand, and two hundred seventy seven

Answer:

1.) 5

2.) 8,000 + 800 + 40 + 3

3.) Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Step-by-step explanation:

1.) In the number 546,789, what digit indicates the value of "one hundred thousand"? 5

2.) What is the expanded notation of 8843?

8,000 + 800 + 40 + 3

3.) Write the following number in words: 38,403,277

Thirty-eight million, four-hundred and three thousand, two-hundred and seventy-seven.

Hope this helps!

PLEASEEE HELP!!!! what’s the relation?

Answers

Answer:

ambisyoso

Step-by-step explanation:

yehey lala knows that you are you po Sir

Please answer. Thanks! 7-5(2x-9)=-(-6x+10)+4

Answers

Answer:

x = 29/8

Step-by-step explanation:

7 - 5(2x - 9) = -(-6x + 10) + 4

7 - 10x + 45 = (6x - 10) + 4

-10x + 52 = 6x - 10 + 4

-10x + 52 = 6x - 6

52 + 6 = 6x + 10x

58 = 16x

x = 58/16 = 29/8

Please help me I really need it. Please leave how to solve it too thank you.

Answers

Step-by-step explanation:

just look at the line.

the distance between 2 whole numbers is split into 1/2, then each 1/2 again into 1/2 = 1/4, and then every 1/4 again into 1/2 = 1/8. so, in total, we are dealing with 8 segments of 1/8 length.

now we count : we have a full 1, and then on the way to 2 we get only 5 units of 1/8 = 5/8.

so, in total the number is

1 5/8

Help help math math math

Answers

A square. All angles on a square are 90 degrees and congruent. All 4 (4 sides = quad in quadrilateral) sides on a square are congruent.
hєч thєrє !

Lets see some basics properties of shapes provided in the choices :

⧉ Pαrαllєlσgrαm ↬

σppσѕítє ѕídєѕ αrє cσngruєnt

αdjαcєnt αnglєѕ αrє ѕupplєmєntαrч

⧉ Rєctαnglє ↬

❑ A spєciαl tчpє σf prαllєlσgrαm, with ѕαmє prσpєrtiєѕ

αll αnglєѕ mєαѕurє 90°

⧉ Rhσmвuѕ ↬

❑ A ѕpєcíαl tчpє σf pαrαllєlσgrαm wíth αll ѕídєѕ єquαl (cσngruєnt) tσ єαch σthєr вut αll αnglєѕ αrє nσt nєcєѕѕαrílч 90°

⧉ Squαrє ↬

❑ A ѕpєcíαl kínd σf rhσmвuѕ hαvíng αll ѕídєѕ єquαl αnd єαch αnglє mєαѕuríng 90°

[tex]\rule{20cm}{1 mm}[/tex]

❖ Anѕwєr ~

☘ So, what we can conclude from the properties is that square has all required properties asked by the question.

hence, the correct choice is ' D '

[tex]\qquad \qquad\huge \dag\normalsize  \sf \boxed{ \underline{ǤríʍɌεαƿєr}} \: \huge \dag[/tex]

Which of the following represents e5 rounded to the nearest thousandth?

Answers

Answer:

C. 148.413

Step-by-step explanation:

Hope it helps!!!

Brainliest pls!!!

Answer: c

Step-by-step explanation:

To solve the equation 3 sin(2x) = 5cosx, you should rewrite it as
O A. cosx(3sinx - 5) = 0
0 B. cosx(6sinx - 5) = 0
O C. 3sinx + 5cosx = 0


Help me out

Answers

Answer:

OPTION B

Step-by-step explanation:

3sin(2x)=5cos(x)

3×(2sinxcosx)=5cos(x)

6sin(x)cos(x)=5cos(x)

6sin(x)cos(x)-5cos(x)=0 Factor out a cos(x)

cosx(6sinx-5)=0

Which product is positive

Answers

Answer:

Answer: It is number 4. You are correct.

Step-by-step explanation:

-2/5-8/91/32/7

A group of 180 students is divided into 20 teams for a competition. b. Part way through the competition, the students are gathered together and divided into 15 teams. If there are still 180 students in the competition, how many students are on each team now? (Enter your answer as a whole number. For example, 5)

Answers

Answer:

12 people per team

Step-by-step explanation:

180/15=12

Simplify the expression
5(k + 4) - 2k

Answers

Answer:

3k + 20

Step-by-step explanation:

5(k + 4) - 2k

First distribute

5k + 20 - 2k

Then subtract (combine) the like terms

3k + 20

Answer:

The answer is 3k + 20

Step-by-step explanation:

5k + 20 - 2k

Combine like terms: 5k - 2k = 3k

which makes your answer 3k + 20

Hope this helps:).......if not sorry for wasting time:)

Which fractions are equivalent to 812?

Answers

Answer:

812/1 = 1624/2 = 2436/3

= 3248/4 = 4060/5 = 4872/6

= 5684/7 = 6496/8 = 7308/9

= 8120/10 = 8932/11 = 9744/12

= 10556/13 = 11368/14 = 12180/15

= 12992/16 = 13804/17 = 14616/18

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

The list tends to be much bigger.

Hope this helps!

Answer:

See below.

Step-by-step explanation:

Fractions equivalent to 8/12:

2/316/2424/3636/4840/60And on and on.

There is an infinite amount, but this is how far I can get.

Describe a real world problem that you could solve using the volume of spheres

Answers

A toy company produces rubber balls that have a radius of 1.7 cm.

What is the volume of one rubber ball? Round to the

nearest hundredth of a centimeter.

20.58 cm3

If the price of the rubber needed to produce a ball is

$0.0045/cm3, what is the cost of producing one ball?

Round to the nearest cent.

If the company sells a ball for $0.50, how much profit

will it make on each ball?

$1.7 cm

20.58 cm^3, $0.09, $0.41

Hope this helps

You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need to complete your collection. How many weeks until your collection is complete?

Answers

Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

[tex]\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64[/tex]

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

A dance studio is purchasing tutus for an annual performance. The table represents the number of tutus available for different prices. What is the difference between the unit price of the LEAST EXPENSIVE DEAL and the unit price of the MOST EXPENSIVE DEAL?

Answers

Answer: 8

Step-by-step explanation:

420/12 is 35

540/20 is 27

35-27=8

(06.03 MC)

An archer shoots an arrow up towards a target located on a hill, which is shown by the graph.

A graph of a line and a parabola intersecting at (48.63, 10.7).

Which set of equations best models the point of intersection of the arrow and the target?

y = –0.004x2 + 0.25x + 8 and y = x
y = 0.004x2 + 0.25x + 8 and y = 0.22x
y = –0.004x2 + 0.25x + 8 and y = 0.22x
y = –0.004x2 + 0.25x + 8 and y = –x

Answers

The set of equation that models the point of intersection of the arrow

and the target is the option; y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

How can the given equations be analyzed?

The given parameters are;

Point of intersection of the line and the parabola is the point (48.63, 10.7)

Therefore, the point (48.63, 10.7) satisfies both the equation of the

parabola and the equation of the line, which by plugging in the value x =

48.67 in the different parabolas, we have;

The first set;

y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, which corresponds with the ordered pair.

The linear function in the first set should be excluded, given y ≠ x in the

ordered pair.

In third set, y = -0.004 × 48.67² + 0.25 × 48.67 + 8 ≈ 10.7, while, from the

ordered pair, we have;

y = C·x

10.7 = 48.63·x

[tex]C = \dfrac{10.7}{48.63} \approx \mathbf{0.22}[/tex]

Therefore;

y ≈ 0.22·x

The set of equations that best models the point of intersection of the arrow and target are therefore;

y = -0.004·x² + 0.25·x + 8 and y = 0.22·x

Learn more about the equation of a parabola here:

https://brainly.com/question/4294167

2 math questions please help

Answers

Answer:

Step-by-step explanation:

2)Cos²x - Sin² x = √2/2

Cos²x - Sin² x = Cos 2x

⇒ Cos 2x = √2/2

General solution for Cos 2x = √2/2 is

[tex]2x = \dfrac{\pi }{4}+2\pi n \ ; 2x=\dfrac{7\pi }{4}+2\pi n\\\\\\x = \dfrac{\pi }{2*4}+\dfrac{2\pi n }{2} \ ; \ x=\dfrac{7\pi }{4*2}+\dfrac{2\pi n}{2}\\\\\\x =\dfrac{\pi }{8}+\pi n ; \ x=\dfrac{7\pi }{8}+\pi n[/tex]

Option A

Answer:

See below for answers and explanations

Step-by-step explanation:

Problem 1

[tex]f(x)=5sin(\frac{x}{12})+14.5\\\\17=5sin(\frac{x}{12})+14.5\\ \\2.5=5sin(\frac{x}{12})\\ \\0.5=sin(\frac{x}{12})\\ \\\frac{x}{12}=\frac{\pi}{6}+2\pi n,\frac{5\pi}{6}+2\pi n\\ \\x=2\pi+24\pi n,10\pi+24\pi n[/tex]

Therefore, the fourth option is correct.

Problem 2

[tex]cos^2x-sin^2x=\frac{\sqrt{2}}{2}\\ \\cos(2x)=\frac{\sqrt{2}}{2}\\\\2x=\frac{\pi}{4}+2\pi n,\frac{7\pi}{4}+2\pi n\\ \\x=\frac{\pi}{8}+\pi n,\frac{7\pi}{8}+\pi n[/tex]

Therefore, the first option is correct.

how much money did she have at first

Answers

Step-by-step explanation:

x = the total money she had first.

x - x×1/4 - (x - x×1/4)×1/2 = 15

you see, first we needed to deduct 1/4 of x from x. that left us with (x - x×1/4). and from that we need to deduct 1/2.

now, we can simplify :

(x - x×1/4) = (x×4/4 - x×1/4) = x×3/4

x×3/4 - x×3/4 × 1/2 = 15

x×3/4 - x×3/8 = 15

we multiply both sides by 8 (4 is a factor of 8, so this handled both fractions perfectly) :

x×3×2 - x×3 = 120

6x - 3x = 120

3x = 120

x = $40

she had $40 at the beginning.

Look at image………………………

Answers

Answer:

If I directly give you the answers they won't help you...so I've shown you how to do the questions instead

Step-by-step explanation:

8/9 + 5/6 (make them have the same denominator)

= 48/54 + 45/54

= 93/54 (make it a mixed fraction)

1 and 39/54

(The second and third one are done the same way... make them have the same denominator by using their equivalent fractions (e.g 1/2 = 2/4), add the numerators ONLY... simplify the result)

1 and 6/9 divided by 5/6

(make the first number an improper fraction)

1 x 9 + 6 = 15 (this is the numerator...the denominator remains the same)

15/9 divided by 5/6 (reciprocate the number after the division sign and then change the division sign to a multiplication sign)

15/9 x 6/5

(Then simplify. e.g the 5 in 6/5 can be divided by the 15 in 15/9)

3/9 x 6/1

(The 6 in 6/1 and the 9 in 3/9 have a common factor... 3)

3/3 x 2/1

(3/3 = 1)

1 x 2

=2

(The other questions are done in the same way... Make the mixed fraction an improper fraction(This means the denominator is larger than the numerator)... reciprocate the number after the division sign (This means flipping it (e.g 2/3 becomes 3/2) then change the division sign to a multiplication sign and either directly multiply the result or simplify it first by dividing numerators with denominators (e.g instead of 9/3 x 12/4 = 108/12 = 9, you could say 1 divided 3 = 4 thus 9/1 x 4/4 (which is = 1) thus 9 x 1 = 9). Either way you should get the same answer whichever way you choose.

PS: YOU COULD ALSO USE A CALCULATOR TO CONFIRM YOUR ANSWER

#1

8/9÷5/6=8/9×6/5=16/15

#2

7/10÷12/25=7/10×25/12=35/25

#3

2/3÷1/5=2/3×5=10/3

#4

1-6/9÷5/6=15/9×6/5=2

#5

2-3/4÷3/8=11/4×8/3=22/3

Your credit card has a limit of $9,500 and you have a current balance of $3,200. Answer the following questions using complete sentences: is the debt ratio more or less than 43%(if you could show work for this i would apricate it )

Answers

Answer:

Step-by-step explanation:

9500/3200=296.88% i believe i did it backwards at first sorry

math help !!! could someone please explain how to find the answer

Answers

x^2+8x+16 = 0
Step 1: Factor left side of equation.
(x+4)(x+4) = 0
Step 2: Set factors equal to 0.
x+4=0 or x+4=0x = −4

Answer:
x = −4

A principal of 4600$ is invested at 9% interest, compounded annually. How much will the investment be worth after 12 years?

Answers

Answer:

$12,938.26

Step-by-step explanation:

The equation for solving this is:

A = P(1+r/n)^nt

P = 4600

^ initial amount/principal

R = 0.09

^ rate (9% converted to a decimal)

n = 1

^ how often it is compounded (yearly, so it is 1)

t = 12

^ how long the investment is for (in years)

A = 4600(1.09)^12

A = 12,938.26

^ rounded to the nearest hundred, because when dealing with money it has to be rounded to the nearest hundred. Un-rounded the answer is 12938.2579962.

The investment will be worth $12,938.26 after 12 years.

Step 1: find out how much 9% is in decimal

9%=0.09
Step 2: Multiply to find how he pays annually(per year)

4600x0.09=414
Step 3: Multiply by 12, since the principal pays for 12 years

414x12=4,968

ANSWER:4,968
I hope this helps, not sure if this is right

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(7 - 3x) = 7(4 - 2x)

Answers

Answer:

x = 0

Step-by-step explanation:

4(7 - 3x) = 7(4 - 2x)

28 - 12x = 28 - 14x        distributed

28 + 2x = 28                 added 14x to both sides

      2x = 0                    subtracted 28 from both sides

        x = 0                     divided both sides by 2

Step-by-step explanation:

Kai's Kites decided to advertise on billboards around town and track the relationship between the number of billboard advertisements
they posted and the number of kites they sold. This table gives the total number of billboards advertisements they bought compared
to the total number of kites they sold. The data can be modeled by a quadratic function
Billboard advertisements
1
2
3
4
5
Kite sales
6
120
229
344
463
588
717
What function best models the data?

Answers

Answer:

y=2.5x^2+102x+15.4

Step-by-step explanation:


Please can some one help me

Answers

Answer: So for Choice A 30% off $25 is $7.50 off or $17.50 which is 70% of the original price and you save 7.50 dollars.

Then for Choice B 25% off $32 is $8 off or $24 which is 75% of the original price and you save 8 dollars.

Therefor the better choice is Choice B.

Step-by-step explanation:

hope it helps

using the spinner below, what is the probability that you will land on red or blue?

Answers

Answer:

red is 50% blue is 25%

Step-by-step explanation:

red is half the circle so it would be 50% and blue is half of a half so 25%

Find the missing number 3+=5?

Answers

2.
Explanation
2+3=5
5-3=2

Answer:

2.

Step-by-step explanation:

We can view this problem as 5-3=?.

5-3=2

So the missing number is 2.

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