16. Geography If a ship sailed due south from Iceland to Antarctica, it would sail
through an angle of rotation of about 140° around Earth's center. Find this measure in
radians. Then, using 3960 miles for Earth's radius, find how far the ship would travel.

Answers

Answer 1

Answer:

9674.28 miles

Step-by-step explanation:

From the above question, we are given:

Central angle = 140°

Radius = 3960 miles

We are to solve for the distance = Arc length

The formula for Arc length when your central angle is in radians

r × θ

θ = 140°

Converting 140° to radians

140° × π/180 = 2.443rad

Hence,

3960 × 2.443 rad

= 9674.28 miles

The ship would travel 9674.28 miles.


Related Questions

The answer to a statistical question includes variability in data. Choose ALL examples of statistical questions es A) How much do the animals on the farm weigh? B) How old are all the teachers at the school? How old is the oldest teacher at the school? D How much does the black and white puppy weigh? E) How many students ate lunch in the cafeteria today?​

Answers

Answer:

A and C

Step-by-step explanation:NLE Choppa said so

Answer:

a and c

Step-by-step explanation:

Solve. Show all of your work.
1. A construction worker was preparing wood for a project.
He had 1/4 of a meter of wood that he needed to cut
into equal size pieces. If he cut the wood into 6 pieces,
how long will each piece be?

Answers

Answer:

4.17 cm

Step-by-step explanation:

I took 1m=100cm

Then divided the cm by 4 to get the 1/4 of a meter which is 25

25/6 is 4.16repeating so I rounded it up to 4.17.

If your teacher wants it in a fraction I would state it as 25/6 cm

A pillow contains 8 ounces of stuffing.

How many ounces would 4 of the pillows contain?

Answers

Answer:

32 ounces

Step-by-step explanation:

8x4=32

There are 32 ounces of stuffing in 4 of the pillow.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A pillow contains 8 ounces of stuffing.

Now,

Since, A pillow contains 8 ounces of stuffing.

So, The amount of ounces in 4 of the pillow = 8 x 4

                                                                    = 32

Thus, There are 32 ounces of stuffing in 4 of the pillow.

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I need help solving this system

Answers

Answer:

x=3 and y=-7

Step-by-step explanation:

just cause lol

Answer:

(x, y) = (3, -7)

Step-by-step explanation:

[tex]\left \{ {{x - 3y = 24} \atop {5x + 3y = -6}} \right.[/tex]

[tex]\left \{ {{x-3y=24} \atop {3y=-6-5x}} \right.[/tex]

[tex]x-(-6-5x)=24[/tex]

[tex]x=3[/tex]

[tex]3y=-6-5(3)[/tex]

[tex]y=-7[/tex]

[tex](x,y)=(3,-7)[/tex]

CHECKING IF ANSWER IS CORRECT:

[tex]\left \{ {{3-3(-7)=24} \atop {5(3)+3(-7)=-6}} \right.\\\left \{ {{24=24} \atop {-6=-6}} \right. \\(x,y)=(3,-7)[/tex]

There is your answer with steps :)

Please help! I need help fast.

Answers

Answer:

240 cm^3

Step-by-step explanation:

The solid is composed by two rectangular parallelepipeds. To find the total volume  we have to find the volume of the two solids and added up.

To find the volume of a parallelepiped we have to use this formula:

V = base surface x height

The area of rectangle is : base x width

So:

Area first rectangle: 4 x 6 = 24 cm^2

V = 24 x 7 = 168 cm^3

Area second rectangle: 4 x 2 = 8 cm^2

V = 8 x 9 = 72 cm^3

total volume = 168 + 72 = 240 cm^3

9. The height of a ball thrown into the air is a quadratic function
of time. The ball is thrown from a height of 6 ft above the
ground. After 1 second, the ball reaches its maximum height of
22 ft above the ground. Write the equation of the function in
vertex form.

Answers

Answer:f(x)=-16(x-1)^2+22

Step-by-step explanation:

The equation for the trajectory of ball in the air is h(t) = -16t² + 32t + 6.

What is differentiation?

The differentiation of a function is defined as rate of change of its value at a point. It can be written as f'(x) =  lim h --> 0 (f(x + h) - f(x)) /(x + h - x).

It can also be said as the slope of the tangent for the  function at a given point.

Given that,

The maximum height reached by the ball  after 1 sec is 22 ft above ground.

And, the height at which it is thrown is 6 ft above the ground.

Which implies at 0 sec the height is 6 ft.

The quadratic function for the height can be written as,

h(t) = at² + bt + c

Substitute t = 0 to gat,

f(0) = a × 0² + b × 0 + c

=> c = 6

Now, for maximum height,

h'(t) = 0

=> 2at + b = 0

At maximum height t = 1

Then, the above expression becomes,

2a × 1 + b = 0

=> a = -b/2

Substitute t = 1 in h(t) = at² + bt + c to get,

22 = a + b + c

=> 22 = -b/2 + b + 6

=> b/2 = 16

=> b = 32

Then, a = -b/2

            = -32/2

            =-16

Thus substituting the corresponding values the equation can be written as h(t) = -16t² + 32t + 6.

Hence, the required equation for the path of the ball in the air is  h(t) = -16t² + 32t + 6.

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help now pls no links thank u

Answers

Answer:

I think its C

Step-by-step explanation:

looooooooooooooooooooooooool

Answers

Answer:

D.5/36

Step-by-step explanation:

There are 5 ways;

1 and 5

2 and 4

3 and 3

4 and 2

5 and 1

PLEASE HELP EMERGENCY have a great day

Answers

Answer:

d) 55°

Step-by-step explanation:

CABD is half-circle as CD is diameter and cuts the circle in half

CABD = CA + AB + BD180° = x + 70° + x110° = 2x x = 110°/2x = 55°

Correct choice is d)

Which of the following pairs of functions are inverses of each other?

Answers

Answer:

THE ANSWER IS B

Step-by-step explanation:

IT JUST MAKES SENSE TO CHOOSE B

The option D pairs of functions are inverses of each other.

What is the function?

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the inverse of a function, write the function f(x) as a function of x and then solve for x as a function of f(x).

For option A,

f(x) = 2 + ∛x

To solve for x,

∛x = f(x) - 2

x = (f(x) - 2)³

That is also the inverse So,

g(x) = (x -2)³ "Not correct"

For Option B,

f(x) = x/6 + 8

To solve for x,

x/6 = f(x) -8

x = 6f(x) - 6 *8

That is also the inverse So,

g(x) = 6x - 6 *8 "Not correct"

For Option C,

f(x) = 7/x - 9

To solve for x,

7/x = f(x) +9

x = [tex]\frac{7}{f(x) +9}[/tex]

That is also the inverse So,

g(x) = [tex]\frac{7}{x +9}[/tex] "Not correct"

For Option D,

f(x) = 5x - 11

To solve for x,

5x= f(x) + 11

x = (f(x) + 11)/5

That is also the inverse So,

g(x) =(x + 11)/5 "correct"

Thus, the option D pairs of functions are inverses of each other.

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How do you add images?

Answers

Click on the add button and it should show like a camera and you can chose it out of your camera roll

Answer:

Well, I've highlighted a paper clip like symbol (in pink) [click on the image - the white blank above this to view the image]. You have to click that symbol to add images.

Simplify the expression below as much as possible. (7-i) + (5+3i) - (-3 +2i)

Answers

The simplified expression is 15 + 2i.

To simplify the expression (7 - i) + (5 + 3i) - (-3 + 2i), we can combine like terms. First, let's remove the parentheses: 7 - i + 5 + 3i - (-3 + 2i)Next, distribute the negative sign to the terms inside the parentheses: 7 - i + 5 + 3i + 3 - 2iNow, let's combine the real parts and the imaginary parts separately: (7 + 5 + 3) + (-i + 3i - 2i)Simplifying further: 15 + 2iTherefore, the simplified expression is 15 + 2i.

In conclusion, the simplified expression (7 - i) + (5 + 3i) - (-3 + 2i) simplifies to 15 + 2i.

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Please answer NO LINKS PLEASE

Answers

Answer:

123.38

36+54+11.69+11.69

Make sure to round

Are the two triangles congruent ? Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

they are not congruent, they have different measurements

Answer:

No

Step-by-step explanation:

The angles of the two triangles don't match, and the two sides given aren't congruent, so it is impossible for the triangles to be congruent.

hey, i would really appreciate it if someone helps me with this. It's just one multiple choice question.

Answers

Answer:

2

Step-by-step explanation:

2 is the answer!!
Hope you pass

2x-2y =22
4x+2y=38
How to solve using systems elimination ​

Answers

Answer: x=10; y=-1

Step-by-step explanation:

To solve this via elimination:

get rid of the y's like this:

4x+2y=38 + 2x-2y=22

6x=60

x=10

20-2y=22

y=-1

Which statement about triangles is NOT true?



The sum of the measures of the interior angles of any triangle is equal to 180°.


The sum of the measures of the interior angles of any triangle is equal to 360°


All triangles have at least 2 acute angles.


An isosceles triangle has two equivalent angles.

BEST ANSWER GETS BRAINLIEST

Answers

Answer:

I believe the second is wrong

I need help on this question please

Answers

Answer:

Step-by-step explanation:

The simple answer is just move the left semi-circle to the right end and fill in the missing semi-circle.  So the answer just becomes the area of the full rectangle....

       area of the newly formed rectangle is 4 times 6  

       Area = 24

Can yall help me with this!!

Answers

A’(-8,-4) B’(4,-4) C’(4,8) D’(-8,8)
Because the scale factor is 4 all you do is multiply your coordinates by 4

HELP PLEASE 10 POINTS

Answers

Since it is not being dilated, the answer would be 3. Hope this helps:)

Find the Value of x.​

Answers

Answer:

110

Step-by-step explanation:

35 + 35 = 70

180 - 70 = 110

The sum to infinity of a geometric series is 4 and the second term is 1. Find the first,third and fourth terms.

Answers

Answer:

2, 0.5 and 0.25.

Step-by-step explanation:

The nth term an = a1r^(n-1)  where a1 = first term and r = the common ratio.

The sum to infinity = a1/(1-r)  for  -1 < r < 1.

So we have:

Second term a2 = 1 = a1(r)(2-1) = a1r and

4 = a1/(1 - r)

From the first equation:

a1 =1/r

So substituting in the second equation:

4 = 1/ r / (1 - r)

4 = 1 / r - r^2

4r - 4r^2 = 1

4r^2 - 4r + 1 = 0

(2r - 1)(2r - 1) = 0

r = 0.5

So the first term  a1 = 1/ r =1/0.5 = 2.

The third = 1*0.5 = 0.5

and the 4th = 0.5*0.5 = 0.25.

f=4 and g=5 find the measure of the indicated angle.

Answers

Answer:

corvet covet hop in that   jet way jet

Step-by-step explanat

to support the high school the local business will donate five for every ticket sold at the homecoming game

Answers

Answer:

Part A. The point that represents what the local business will donate is (10, 5).

Part B. Student B was correct about his claim.

Step-by-step explanation:

The full question is:

The local business will donate $5.00 for every 10 tickets sold. Let x represent tickets sold, and y represent dollars donated. Student A claims that the equation is y = 2x. Student B claims that the equation is y = 1/2x. Explain who is correct.

Hope this helps! :)

Matthew is half as old as Alan. If the sum of their ages is 54, find their ages.

Answers

Answer:

26

Step-by-step explanation:

x-(-7) = -10 as an addition equation​

Answers

x - (-7) = -10

x + 7 = -10

x = -10 - 7

x = -17

Answer: x=-17

Step-by-step explanation:

Given

x-(-7)=-10

Expand Parenthesis (REMEMBER to change signs)

x+7=-10

Subtract 7 on both sides

x+7-7=-10-7

x=-17

Hope this helps!! :)

Please let me know if you have any questions

please help me with this math problem, the question is on the picture that i attached, ill mark brainliest if the answer is correct. NO links!

Answers

Answer:

cos z = 35 / 37

Step-by-step explanation:

cos z is the ratio of the adjacent side of a triangle (the side adjacent to angle z to the hypotenuse:

cos z = (adj. side) / (hypotenuse)

Here we have cos z = 35 / 37

how do you solve 2x+4y=7 and -2x +3y=14

Answers

Answer:

y=3    x= -5/2

Step-by-step explanation:

simultaneous equations

2x + 4y = 7  ------ eq 1

-2x + 3y = 14 --------eq2

(different signs add)

(eq 2 + eq 1)

-2x +(-2x) = 0

4y+3y = 7y

7+14 = 21

7y= 21

(divide both sides by 7)

y= 21/7= 3

2x + 4(3) = 7

2x+ 12=7

2x = 7-12

2x = -5

x= -5/2

Guided Practice

Which number is a solution of the inequality?

IT'S NOT B. 2

3x – 7 > – 1


A.
0


B.
2


C.
5

Answers

Answer:

A

Step-by-step explanation:

3x – 7 > – 1

3x > 6

x < 2

what is “four is an even number” in mathematical sentence?

Answers

Answer:

4 is even; 4 can be divided by 2 and the quotient is whole.

Step-by-step explanation:

If a number is even, it can be divided by 2 and the quotient is a whole number. 4 can be divided by 2 and the quotient is whole, so we can say 4 is even.

The given statement is true.

The given statement is “four is an even number”.

What is an even number?

Even numbers are those numbers that can be divided into two equal groups or pairs and are exactly divisible by 2. For example, 2, 4, 6, 8, 10, and so on.

The statement “four is an even number” is true.

Therefore, the given statement is true.

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