Two ships leave a harbor together traveling
on courses that have an angle of 128°
between them. If they each travel 543 miles,
how far apart are they (to the nearest mile)?
A) 976 mi
B) 476 mi
C) 42 mi
D) 1952 mi

Answers

Answer 1

Answer:

use cosine law

x^2 = 543^2 + 543^2 - 2(543)(543cos 128°

solve for x

Step-by-step explanation:


Related Questions

Isa is building a picture frame. The perimeter of the frame is 114 cm. If the frame is 30 cm tall, how wide is it? And how much cloth Isa will need to cover the frame?

Answers

Answer:

810 cm squared

Step-by-step explanation:

30 = height

multiply 30 by 2 = 60

subtract 60 from 114 = 54

divide 54 by 2 = 27 = width

multiply 27 x 30 to get 810 cm squared


The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the
equation. Include the phrases, "Isolate the variable by -" "Simplify," and "Isolate
the variable term by -" in your answers.
Original equation
7x +3 - 52
7x +3-3-52-3
7x = 49
7x49
TT
x = 7

Answers

Answer:

The steps for solving 7x + 3 = 52 are shown. Explain how each step helps solve the

Step-by-step explanation:

Simplifying

7x + 3 = 52

Reorder the terms:

3 + 7x = 52

Solving

3 + 7x = 52

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + 7x = 52 + -3

Combine like terms: 3 + -3 = 0

0 + 7x = 52 + -3

7x = 52 + -3

Combine like terms: 52 + -3 = 49

7x = 49

Divide each side by '7'.

x = 7

Simplifying

x = 7

Given the function f(x) = √x. If the function is shifted right 2 units, then shifted down 1.5 units and reflected about the x-axis, what is the equation of the new function?

Answers

Answer:

f(x) = -√(x-2) + 1.5.

Step-by-step explanation:

y = √x

2 units to right:

y = √(x-2)

1.5 down:

y = √(x-2) - 1.5

Reflect about x-axis

y = -(√(x-2) - 1.5)

y = -√(x-2) + 1.5.

The ground temperature at an airport is 14 °C. The temperature decreases by 62 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?​

Answers

Answer:

52°C

Step-by-step explanation:

find the derivative of x³/tanx​

Answers

Answer:

Below.

Step-by-step explanation:

We apply the quotient rule:

dy/dx = ( tanx * 3x^2 - x^3 * sec^2x)  /  (tan^2 x)

= x^2( 3tanx - xsec^2x) / tan^2x

How do you write an equation of a line given y-intercept -8 and slope 3/4

Answers

Answer:

[tex]y = \frac{3}{4} x-8[/tex]

Step-by-step explanation:

You can us the equation y = m x + c to answer this question.

In ,

y = m x + c

m = slope

c = y - intercept

So, they have already given in the question that,

m = 3/4

c = (-8)

Therefore, you can simply put 3/4 and (-8) instead of m and c respectively like this.

y = m x + c

y = 3/4x - 8

Hope this helps you.

Let me know if you have any other questions :-)


I’m so confused help please

Answers

Answer:

  B.  0

Step-by-step explanation:

If you subtract the right side expression and simplify, you get ...

  4/5(20x +5) -(16x -2) = 0

  16x +4 -16x +2 = 0

  6 = 0 . . . . . . . . . . . . false

There is no value of x that will make this true. There are no solutions.

From her eye, which stands 1.74 meters above the ground, Sophia measures the angle of elevation to the top of a prominent skyscraper to be 44∘If she is standing at a horizontal distance of 369 meters from the base of the skyscraper, what is the height of the skyscraper? Round your answer to the nearest tenth of a meter if necessary.

Answers

The height of the skyscraper for the considered case is evaluated being of 358 meters approx.

What is angle of elevation?

You look straight parallel to ground. But when you have to watch something high, then you take your sight up by moving your head up. The angle from horizontal to the point where you stopped your head is called angle of elevation.

How to use right triangles to find the height of the specified sky scrapper?

Remember that we assume that building is vertical to the ground. This means, there is 90° formation.

For this case, referring to the figure attached below, we get:

The height of the skyscraper = h = length of ED (which is h - 1.74 meters) + 1.74 meters

Using the tangent ratio for triangle CDE, from the perspective of angle of elevation, we get:

[tex]\tan(44^\circ) = \dfrac{|ED|}{|CD|} = \dfrac{h-1.74}{|AB|} \\0.9656 \approx \dfrac{h-1.74}{369}\\\\h \approx 0.9656 \times 369 + 1.74 \approx 358 \: \rm m[/tex]

(from calculator, we obtained [tex]tan(44^\circ) \approx 0.9656[/tex] )

Thus, the height of the skyscraper for the considered case is evaluated being of 358 meters approx.

Learn more about tangent ratio here:

https://brainly.com/question/19594654

Kevin drank
2
3
liter of water Monday before going jogging. He drank
5
7
liter of water after his jog. How much water did Kevin drink altogether? Write your answer as a mixed number.

Answers

Answer:

80 Liters

Step-by-step explanation:

23 + 57 = 80

80 = 57 + 23

5 2/12 x 10/11
Simplify the answer completely and change to a mixed number

Answers

Answer:

[tex]4\frac{23}{33}[/tex]

Step-by-step explanation:

[tex]5 \frac{2}{12}[/tex]    ×    [tex]\frac{10}{11}[/tex]

[tex]\frac{62}{12}[/tex]    ×   [tex]\frac{10}{11}[/tex]

[tex]\frac{62*10}{12*11}[/tex]

[tex]\frac{620}{132}[/tex]

Divide both sides by 4

[tex]\frac{155}{33}[/tex]

Now let us write it as a mixed number

[tex]4\frac{23}{33}[/tex]

Hope this helps you :-)

Answer:

Question :

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

Solution :

[tex] \dashrightarrow{5 \dfrac{2}{12} \times \dfrac{10}{11}}[/tex]

Coverting 5-1/2 into improper fraction :

[tex] \dashrightarrow{\dfrac{(5 \times 12) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{(60) + (2)}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{60 + 2}{12} \times \dfrac{10}{11}}[/tex]

[tex] \dashrightarrow{\dfrac{62}{12} \times \dfrac{10}{11}}[/tex]

Performing multiplication :

[tex] \dashrightarrow{\dfrac{62 \times 10}{12 \times 11}}[/tex]

[tex] \dashrightarrow{\dfrac{620}{132}}[/tex]

Cutting the fraction into simplest form :

[tex] \dashrightarrow{ \cancel{\dfrac{620}{132}}}[/tex]

[tex] \dashrightarrow{ \dfrac{155}{33}}[/tex]

Coverting the improper fraction into mixed fraction :

[tex]{\dashrightarrow{\sf{\underline{\underline{\red{4 \dfrac{22}{33}}}}}}}[/tex]

Hence, the answer is [tex]\bf{4 \dfrac{22}{33}}[/tex].

geometry PLEASE HELP and explain how???

Answers

Answer:

x means times

Step-by-step explanation:

If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?




pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION

Answers

[tex]\large\huge\green{\sf{Given:-}}[/tex]

length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

Area of triangle=??

[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]

Area of rectangle= lxb

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

➡Area of rectangle= lxb

➡Area of rectangle= (2x - 4) x (3x) cm²

➡Area of rectangle= 6x²-12x

through:(-3,-1), slope=4/3

Answers

Answer:

I need more info

Step-by-step explanation:

help me with this pls

Answers

Answer:

-49

Step-by-step explanation:

Make sure you understand the difference between

-3² and (-3)²

-3² means square 3, then take its opposite. -3² is the same as -(3²) = -9

(-3)² means square the number -3, which means that (-3)² = (-3) × (-3) = 9

Ok, now we can start. Use the correct order of operations.

-3² + (2 - 6)(10) =

= -9 + (-4)(10)

= -9 + (-40)

= -9 - 40

= -49

f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4

Answers

Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.

The function is:

[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]

The zeroes are:

[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]

Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.

Then:

[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]

Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].

A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253

At a local college there are five women enrolled for every two men. (A) If there are 5,000 men enrolled how many women are enrolled? (B) What is the constant of proportionally in this situation?

Answers

Answer:

A: 25,000 Woman Enrolled. B: For Every 5 woman Enrolled 2 men are Enrolled also so the constant rate is 5 x 2

Step-by-step explanation:

Write an expression to model each situation.


Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________



A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________

Answers

The first one should be:
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.

the second one should be:
2/3 x 2 + 1/4

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Can you help me with this please.

Answers

Answer:

c, i believe!!

Step-by-step explanation:

have a good day! <33

Answer:

t = 6n

Step-by-step explanation:

6 divided by 1 = 6

Please help I don't understand i'm in the lowest class!

Answers

Answer:

Step-by-step explanation:

find the indefinite integrals ​

Answers

Answer:

Below in bold

Step-by-step explanation:

dx / (x^2√(9-x^2))

Substitute x = 3sinu and dx = 3cosu du

then the √(9-x^2) = √( 9 - 9sin^2u) = 3 cos u  and u = arcsin(x/3)

= 3 ∫(csc^2 u du )/ 27

= 1/9 ∫(csc^2 u du

= -1/9 cot u

= -√9-x^2) / 9x.

Can someone please help me with this one? Thank you I appreciate it!

Answers

Answer:

25.92 sorry if i get this wrong!

Step-by-step explanation:

So to do the math properly you have to convert the 7.20 into a fraction as well so the 7$ will be a while number and the .20 would be over 100 being 20/100 since there’s 100cents in 1$, so that would be 7 20/100 and since the pounds is 3 3/5 the denominators have to be the same so you’ll have to divide the 20/100 until you have a same denominator so if you dive the numerator and denominator by 5 you get 4/20 (20/5=4, 100/5=20) then again you divide them both by 4 being 1/5 so that would be 7 1/5 x 3 1/5 so for each of them you multiply the bottom and add the top so 7x5 = 35+1= 36 so that’s your new numerator but the denominator remains the same so 36/5 and you do the same with 3 3/5 you multiply 3x5=15+ the 3 = 18/5 so then that would be 36/5 x 18/5 now you multiply both the numerators and denominators equaling 648/25 then that equals to 25.92$

help!!!!

Find the slope of the line below. Enter your answer as a fraction or decimal.
Use a slash mark (/) as the fraction bar if necessary.
10
10
(7.-2)
10
6
09
(-3,-8)
10
-10

Answers

Answer:  3/5

This is equivalent to 0.6 in decimal form

=====================================================

Explanation:

To find the slope, divide the rise over run

rise = change in y = how far to move up or downrun = change in x = how far to move to the right

In this case, we have:

rise = 6run = 10

Therefore,

slope = rise/run = 6/10 = 3/5 = 0.6

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

What is the slope?

The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.

The slope of the line is given as,

m = (y₂ - y₁) / (x₂ - x₁)

From the graph, the points are (-3, -8) and (7, -2). Then the slope of the line is calculated as,

m = (- 8 + 2) / (- 3 - 7)

m = 6 / 10

m = 3/5

The slope of the line that passes through (-3, -8) and (7, -2) will be 3/5.

More about the slope link is given below.

https://brainly.com/question/3605446

#SPJ7

35 is more than the product of 5 and the difference of a number and 1.

Answers

35+5-1 is the answer

QUESTION
[tex] {45}^{4} + {72}^{3} [/tex]
note: bye, i'm go back to Indonesian server. my rank in Indonesian server is ace. si hebat=ace​

Answers

Step by step explanation:

4100625+373248

so the answer is;

4473873

answer in Alternative Form

4.473873x10

trust my answer and liked and make it brainliest please

What is the value of the expression?

(514−212)+(623−312)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Answers

Answer:

[tex] = { \rm{(514 - 212) + (623 - 312)}} \\ \\ = { \rm{(302) + (311)}} \\ \\ ={ \underline{ \: \: {}^{ - } 9 \: \: }}[/tex]

help I have foreign parents.....they will literally disown me if I fail - ♥️​

Answers

Answer:m∠1 = 51°Step-by-step explanation:

We know that:

Total degrees of triangle: 180°

Using this clue, we can find m∠1.

=> 67 + 62 + m∠1 = 180=> 129 + m∠1 = 180=> m∠1 = 180 - 129=> m∠1 = 51°Conclusion:

We have finally found the answer to the missing angle. The answer is 51°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

I didn't pay attention to day​

Answers

Answer:

%2.9

Step-by-step explanation:

Step-by-step explanation:

please complete your question

The price of an item at the store can be defined by the variable w.

Based on this information, which of the options below represents a markup in price for that item? Select all that apply.


A)0.85w
B)0.92w
C)1.1w
D)1.15w
E)1.25w

Answers

Answer:

  C)  1.1w

  D)  1.15w

  E)  1.25w

Step-by-step explanation:

A markup is an added value. The effective multiplier of price will be greater than 1 when the markup is added. Such a multiplier is indicated in choices C, D, and E.

___

Choices A and B represent a markdown, or discount.

This is a Function?


O True
O False

Answers

Answer:

true

Step-by-step explanation:

please no links!!!!!!!!!!!

Suppose a trip is 355.1 miles long and you want to spend 2 days driving. How many miles
should you drive each day?

Answers

Answer: 177.55 miles

Step-by-step explanation: 355.1/2

                                            = 177.55 miles each day

Answer:

177.55mi/day

Step-by-step explanation:

If you travel for x number of days and want to split your trip evenly across those days, simply divide the distance you need to travel by the number of days.

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