A satellite circles the earth in such a manner that it is y miles from the equator​ (north or​ south, height from the surface not​ considered) t minutes after its​ launch, where y is given by the equation below.
(picture)
At what times t in the interval ​, the first 4​ hr, is the satellite mi north of the​ equator?

A Satellite Circles The Earth In Such A Manner That It Is Y Miles From The Equator (north Or South, Height

Answers

Answer 1

9514 1404 393

Answer:

  t ∈ {19, 85, 109, 175, 199}

or

  t ∈ {40, 64, 130, 154, 220}

Step-by-step explanation:

A graphing calculator relieves the tedium of solving for t. The attachments show the times the satellite is 4000 miles from the equator. Since y may be either north or south, the satellite may be 4000 north of the equator for y = 4000 or for y = -4000.

__

If y is miles north of the equator, then ...

  4000 = 6000cos(z) . . . . . where z=(π/45)(t-7)

  z = arccos(4000/6000) ≈ 0.84107 radians

There is another solution at 2π -0.84107 radians, about 5.44212 radians

The corresponding time values are ...

  t = 7 +(45/π)(z) ≈ 19.047 and 84.953 . . . . minutes

The period of the function is 90 minutes, the times will be the above times and at 90-minute intervals after each.

The satellite is 4000 miles north of the equator at ...

  t ≈ 19, 85, 109, 175, 199 . . . minutes after launch

__

The solution is similar if y represents miles south of the equator. Then we have ...

  -4000 = 6000cos(z)

  z = arccos(-4000/6000) ≈ 2.30052 radians (and 3.98266 radians)

The corresponding time values are ...

  t = 7 +(45/π)(z) ≈ 39.952 and 64.047 . . . . minutes

Again, considering the period, the satellite is 4000 miles north of the equator at ...

  t ≈ 40, 64, 130, 154, 220 . . . minutes after launch

_____

Additional comment

We might usually think of y as being positive in the northerly direction. However, in this age of political correctness and bias sensitivity, we have to consider that "y is north or south" means exactly that. So, we have also shown the solutions when y is positive south of the equator.

Usually, we prefer that the variables are defined unambiguously.

A Satellite Circles The Earth In Such A Manner That It Is Y Miles From The Equator (north Or South, Height
A Satellite Circles The Earth In Such A Manner That It Is Y Miles From The Equator (north Or South, Height

Related Questions

Guys help me with this quick pls​

Answers

Answer:

[tex]117 = 66 + \beta \\ \beta = 51[/tex]

150 adults complete a survey.
80 are women.
Write the ratio

in its simplest form.
men : women

Answers

Answer:

7:8

Step-by-step explanation:

there are 80 women so there has to be 70 men

simplified that is 7 men to 8 women

7 men 8 women.
Ratio: 7:8

3 2/5 es una fracción propia impropia o mixta

Answers

Answer:

es una fracción mixta

Step-by-step explanation:

3 2/5

a)Solve for x:
y = 130 − 4x

b) What is the value of x when y = 120

Answers

Answer:

[tex]x = \frac{5}{2}[/tex]

Step-by-step explanation:

y = 130 - 4x

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

120 = 130 - 4x

-10 = -4x

x = [tex]\frac{-10}{-4} =\frac{5}{2}[/tex]

Please help me (NO LINKS)

Answers

Answer:

[tex]0.25( \frac{1}{4} ) \\ 0.50( \frac{2}{4}) \\ 1.25(1 \frac{1}{4} )[/tex]

hope it's what u want

i will give Brainiest if your right

Answers

Answer:

J. 2*3*5^3

Step-by-step explanation:

What is the missing length?
6 mi
t
area =
60 mi2

Answers

Answer:

10 mi

Step-by-step explanation:

6mi x t = 60mi^2

this is basically

6 x t = 60

divide 6 to both sides

t = 10

Solve -5x2 - 20x + 35 = 30 by completing the square.

Answers

Answer:

x=−2−√5 or x=−2+√5

Step-by-step explanation:

-5x2 - 20x + 35 = 30

Answer = x=−2−√5 or x=−2+√5

5. Zhao purchased a used car for $11,500. This make and model used car
straight line depreciates to zero after 9 years. (a) Identify the coordinates
of the x and y intercepts. *

Answers

Answer:

(9, 0)

(0, 11200)

Step-by-step explanation:

The x - intercept is the value of x when y = 0 ; similarly, the y - intercept is the value of y, when x = 0

From the given relation :

y = price, x = number of years

Price after 9 years of usage, the price of car is depreciated to 0

Hence,

x = 9, y = 0

(9, 0)

At purchase, the value of car is 11,200 ;

At this price, the number of years of usage of car is 0

Hence ;

x = 0 ; y = 11200

(0, 11200)

What is nine divided by two

Answers

Answer: 4.5

Step-by-step explanation:

9/2 = 4.5

have a good day. you have to use division, and plus, 4.5 + 4.5 = 9

What is the value of the expression (14 ÷ 2) + 6 x 3 − 12?

please help

Answers

Answer:

13

Steps:

(14 ÷ 2) + 6 x 3 − 12

7 + 6 x 3 - 12

7 + 18 - 12

25 - 12

13

A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-
quality version is 4.2 MB. Yesterday, there were 1110 downloads of the song, for a total download size of 4077 MB. How many
downloads of the high-quality version were there?
Number of high-quality version downloads: 0
Х
?

Answers

Answer:

100

Step-by-step explanation:

i gueesss sheeeesh dherh

HELP ME PLISSSS NO LINK I SWEAR IM SO MAD RN YOU KEEP TAKING POINTS FROM ME WITH THESE LINK STOP!!!!!!!!!!!!!!!!!!!!!!!!!!!!! JUST ANSWER THE DAMB QUESTION

Answers

50*36*2=3600

(48*14/2)2=672

Now time to add

3600+672=4272

4272 square inches

8,546.54 to nearest 1,000.00​

Answers

9,000

Step by step: remember 5 or higher raise the score 4 or less let it rest. You underline the thousands place in this situation then look back to the number right to it. Since that number is 5 you must change the 8 to a 9. All the other numbers to the right if 8 is now 0.

Find value of x for both

Answers

Answer:

19??????????????????

6) WILL MAKE BRAINLIEST

write the slope-interception form of the equation of each line.

Answers

the answer would be C, y=2x-1

x > -3 For each statement list three numbers that would make a solution to the inequality true.

Answers

Answer:

x = -2

x = -1

x = 0

Step-by-step explanation:

Find three numbers to the left of -3 on the number line

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

For what values of x is the expression below defined?

Answers

Answer:

x > 0

Step-by-step explanation:

Given :-

√[3x²] ÷ √[4x ]

And we need to find the value of x for which the expression is defined . The expression is ,

[tex]:\implies[/tex] [3x²] ÷ [4x]

As we can see that x is inside the squareroot. So for defining the expression the value of x should be Greater than 0 . As negative inside the squareroot will give rise to imaginary numbers.

Solution :-

[tex]:\implies[/tex] x > 0

In interval notation :-

[tex]:\implies\bf x \in ( 0 , \infty) [/tex]

Therefore x should be Greater than 0 .

prove sec^2x/tanx=secxcscx

Answers

Answer:

Is this even a questions?

if -2x+ y =6 and -7x-4y=-8 are true equations what would the value of -9x-3y

Answers

Answer:

[tex]-\frac{106}{5} or -21.2[/tex]

Step-by-step explanation:

First we would have to get x and y-values by solving systems of equations:

isolate one of the variable from any of the first 2 equations given:

-2x+ y =6 would be y = 2x + 6 when y is isolated.

now plug this equation in for the y given in the second equation:

-7x -4(2x + 6) = -8

Now solve to get the x-value,

-7x - 8x - 24 = -8

-15x - 24 = -8

-15x = 16

x = [tex]-\frac{16}{15}[/tex] or -1.06

To solve for y-value, substitute the gotten x-value in any of the 2 equations and solve:

y = 2([tex]-\frac{16}{15}[/tex]) + 6

y = [tex]\frac{58}{15}[/tex] or 3.86

Now that we have the x and y-values, substitute them in for the 3 equation given:

-9([tex]-\frac{16}{15}[/tex]) -3( [tex]\frac{58}{15}[/tex])

=> [tex]-\frac{106}{5}[/tex] or -21.2 = Final Answer

Hope this helps!

Question and Answers below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇

Please answer ALL questions in order for BRAINLIEST! NO links or else you will be reported and maybe even get banned.

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Find the volume of the triangular prism:

-27yd^3

-72yd^3

-240yd^3

-360yd^3

Answers

Answer: 72

Step-by-step explanation:

[tex]V=\frac{1}{2}(3)(8)(6)=\boxed{72}[/tex]

Drag numbers to fill in the table to organize the information in this problem.

The average daily iron intake for 12-year-olds is 15.1 milligrams. Fernando typically consumes 11.8 milligrams of iron in his breakfast cereal and 3.6 milligrams of iron from a protein bar. If he eats a bowl of cereal and two protein bars today, how many milligrams over the average daily intake for iron will Fernando's intake be?

Answers

Answer:

3.9 milligrams more than the normal or whatever it said

Step-by-step explanation:

you multiply 3.6 by 2 and you get 7.2 then you add 11.8 to that 7.2 which give you 19, then subtract 15.1 from 19 which would give you 3.9 milligrams

Help is needed please????

Answers

Answer: let F(x)=y

y=2x+5

Step-by-step explanation:

If you use the amount of flour that was used on Day 4, how many
cups of flour will you use?

Answers

I need a photo to help you can you send me one?

6x-9y+45 in slope intercept form

Answers

The answer is: y= 2/3x +5

14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.

Answers

Answer:

1+1 is cannot be

Step-by-step explanation:

jajauajhwhahwwhhahwhauwu

In an isosceles triangle, the base angles measure 65°. Which of the following expressions is a way to calculate the measure of the third angle?​

Answers

Answer:

its A

Step-by-step explanation:

its A ️ ‍♀️ ️ ‍♂️ ️

180-2(65). The base are both 65 and a triangle adds up to 180.

if f(x) = 5 + 4( x - 4)^2

then what is f(7)

Answers

Answer:

41

Step-by-step explanation:

f(7) = 5 + 4(7-4)²

= 5 + 4(3²)

= 5 + 4(9)

= 5 + 36

Answer:

f(7)=39

Step-by-step explanation:

f(7)=5+4((7)-4)^2

=5+4(3)^2

=5+4(9)

=5+36

=39

How many different ways can a race with 4 runners be completed? (Assume there is no tie.)

Answers

Answer:

24

Step-by-step explanation:

1234, 1243, 1324, 1342, 1432, 1423, 2134, 2143, 2314, 2341, 2413, 2431, 3214, 3241, 3124, 3142, 3412, 3421, 4321, 4312, 4231, 4213, 4132, 4123

There are 24 different ways can a race with 4 runners be completed.

What is Combination?

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

There are 4 runners.

Hence, the number of different ways the race can be completed is:

⇒ 4!

⇒ 4 × 3 × 2 × 1

⇒ 24

Thus, There are 24 different ways can a race with 4 runners be completed.

Learn more about the combination visit:

brainly.com/question/28065038

#SPJ2

The volume of this sphere is 904.32 cubic inches. What is the surface area of this sphere?
Use a 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

A = 4 pi R^2     V = 4/3 pi R^3

A / V = 3 / R

Also, R = (3 * V / 4 * pi)^1/3 = (3 * 904.32 / (4 * pi))^1/3 = 6 in

So A = 3 / 6 * V = 1/2 * 904.32 = 452.16 in^2

The surface area of the sphere is S = 452.39 inches²

What is a Sphere?

A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.

The Surface Area of a Sphere = 4πr²

The Volume of a Sphere = ( 4/3 ) πr³

where r is the radius of the sphere

Given data ,

Let the volume of the sphere be V = 904.32 inches³

Let the surface area of the sphere be S

And , Volume of a Sphere = ( 4/3 ) πr³

In this case, we are given that the volume of the sphere is 904.32 cubic inches, so we can set up an equation:

904.32 = (4/3)πr³

Solving for r:

r³ = (3/4) x (904.32 / π)

r ≈ 6.0 inches (rounded to one decimal place)

Now that we know the radius, we can use the formula for the surface area of a sphere:

A = 4πr²

Plugging in the value of r:

A = 4 x 3.14 x 6.0²

A ≈ 452.39 inches² (rounded to two decimal places)

Hence , the surface area of the sphere is approximately 452.39 square inches.

To learn more about sphere click :

https://brainly.com/question/27933834

#SPJ2

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