A satellite photographs a path on the surface of the Earth that is 600 miles wide. Find the central angle that intercepts an arc 600 miles on the surface of the Earth​ (radius 3950​ miles).

WILL MARK BRAINLIEST

Answers

Answer 1

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°


Related Questions

Someone please explain

Answers

Answer:

D) 6

Step-by-step explanation:

set Q has 16 values which are all even values from 4 to 36

set Z has 11 values that are multiples of 3 from 4 to 36 (6,9,12,15,etc.) however, we have to eliminate the odd ones, leaving the following six:

6, 12, 18, 24, 30, 36

Answer:

D. 6

Step-by-step explanation:

Key skills needed: Set Similarity

1) The easiest way to teach this is by writing out each set, but I will show it to you in 2 ways.

2) The first way is by writing everything out.

Set Q = 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36

Set Z = 3,6,9,12,15,18,21,24,27,30,33,36

(I only wrote out Set Z to 36 since Set Q ends at 36. Anything greater than 36 won't even be there in Set Q, so no point in writing more.

The numbers that are common in both sets are --> 6,12,18,24,30,36Therefore D would be your answer.

3) The next way is with using a simple pattern.

Set Q contains all even numbers from 4 to 36

Set Z contains all multiples of 3 (no limits)

Therefore, the numbers that are in both sets would be:

The even multiples of 3 that are bigger than 4 and less than 36.

4) Those even multiples of 3 would be  ---> 6,12,18,24,30,36

That means there are 6 numbers in common. That means D is your answer.

Both show that D is the answer, so I would say D as the answer very confidently.

Hope you understood and have a nice day!! :D

Given the function: f(x) = x2 – 2x How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function? x ≥ 0; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 + StartRoot x + 1 EndRoot x ≥ 0; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot x ≥ 1; f Superscript negative 1 Baseline (x) = 1 minus StartRoot x + 1 EndRoot

Answers

Answer:

D x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot

Step-by-step explanation:

Apply this method when doing problems similar to this one.

9514 1404 393

Answer:

  (b)  x ≥ 1; f⁻¹(x) = 1+√(x+1)

Step-by-step explanation:

We can find the inverse function by solving for y:

  x = f(y)

  x = y² -2y

  x +1 = y² -2y +1

  x +1 = (y -1)²

  √(x +1) = y -1

  1 +√(x +1) = y

So, the inverse function is ...

  [tex]f^{-1}(x)=1+\sqrt{x+1}[/tex]

For this, the root will be non-negative, so the minimum value of this function is 1. That is, the minimum value of x for which the original function has this as an inverse is 1.

The domain restriction is x ≥ 1.

The inverse function is f⁻¹(x) = 1+√(x+1)

A watch loses 15 seconds every hour. How many minutes will the watch lose in a day?

Answers

Answer:

360 seconds

Step-by-step explanation:

15 * 24 =360

Answer:

minutes lost per day 360/60=6

hope that helps

Sorry if its wrong

Suppose y varies directly with x. Write an equation if y = 4 when x = 0.4.

Answers

yes correct
0.04
step by step explanation:
i’m here for the points sorry

Mindy can drive a total of 375 miles on one full tank of gas, witch is 25 gallons. based on this information, what is the constant of proportionality

A 10
B. 15
C.25
D.375

Answers

Answer:

B. 15

Step-by-step explanation:

7 more than a number w is -2

Answers

Answer:

w+7=-2

Step-by-step explanation:

HELP ASAP I’ll GIVE BRAINLIEST :))))
Which of the following does -

Answers

Answer:

Step-by-step explanation:

A

The only that makes sense to me is d
Good luck

Genie worst five hours on Tuesday three hours on Wednesday 4.5 hours on Thursday if H represents her hourly pay rate which expression below shows the amount she earned

Answers

Answer:

12.5H

Step-by-step explanation:

Number of hours worked per day:

Tuesday = 3 hours

Wednesday =5 hours

Thursday = 4.5 hours

H = hourly pay rate

Total amount earned = 3 hours × H + 5 hours × H + 4.5 hours × H

= 3H + 5H + 4.5H

= 12.5H

The expression which shows the total amount she earned = 12.5H

math please help me please help me please help me​

Answers

Answer:

Step-by-step explanation:

Step One: Cancel 3x and 6x.

6x/3x = 2

Step Two: Factor x^2 + 5x + 6

(x+3)(x + 2)

Step Three: Factor x^2 + 9x + 14

(x + 2)(x +7)

Answer

2*(x + 3) / (x + 7)    The (x + 2 )s cancel out

The sum of three consecutive odd integers is –87. What are the integers?


A.
–31, –33, –35


B.
–30, –29, –28


C.
–31, –30, –29


D.
–31, –29, –27

Answers

-30 -29 -28 is the correct answer




Use the given information to find the exact value of each of the following.
a. sin 2theta =
b. cos 2theta =
c. tan 2theta =
cot theta = 11, theta lies in quadrant III
a. sin 2theta =

Answers

Answer:

Step-by-step explanation:

cot θ=11

tan θ=1/11

[tex]\sin ~2\theta=\frac{2 \tan ~\theta}{1+\tan^2 \theta} =\frac{2*\frac{1}{11} }{1+(\frac{1}{11} )^2}=\frac{22 }{122} \\\\cos~2 \theta=\frac{1-tan^2 \theta}{1+tan^2\theta} =\frac{1-(\frac{1}{11})^2 }{1+(\frac{1}{11} )^2} =\frac{120}{122} =\frac{60}{61} \\tan 2 \theta=\frac{2 tan\theta}{1-tan^2 \theta} =\frac{2*(\frac{1}{11 } )}{1-(\frac{1}{11} )^2} =\frac{2*11}{120} =\frac{11}{60}[/tex]

Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, "I can't believe I paid 125% of what you paid, Han!" Is what she said true? Explain. 14.3

Answers

say the price of the item is $10
clare bought it for 10 dollars and Han bought it for 8 dollars
you can set up a proportion 10/8 = x/100 and solve
1000 = 8x
125 = x
so yes, she was correct in saying this

Answer:

Step-by-step explanation:

e

15 In rectangle PRST, ST and RT are extended as shown in the diagram below. The measure
of ZPTR is x° and the measure of ZRTS is (2x – 57).
P
R
X
U
(2x - 57)
V
Find the measure of ZUTV.
Find the measure of ZSTV.

Answers

Answer:

Z PTS = 90°

or, Z PTS = Z PTR + Z PTS

or, 90° = x° + ( 2x - 57 )°

or, 3x° = 90° + 57°

or, 3x° = 147°

or x° = 49°

ans: Z PTR = Z UTV = 49°

Z STU = 180°

or, Z UTV + Z STV = 180°

or, 49° + Z STV = 180 °

or, Z STV = 180° - 49°

= 131°

ans : Z STV = 131°

7(2x+3)=3(4x+6)+2x+3

Answers

Answer:

[tex]7(2x + 3) = 3(4x + 6) + 2x + 3 \\ 14x + 21 = 12x + 18 + 2x + 3 \\ 14x - 14x = 21 - 21 \\ 0 = 0[/tex]

Does this table represent a proportional relationship?

A) Yes
B) No

Answers

the answer is A yes it shows a proportional relationship

Income tax returns show that the mean income of self-employed persons in a particular year was £15,000, with a standard deviation of £975. A random sample of 169 returns from people in the clothing industry gave a mean income of £14,500. Did this indicate that income from self-employment in the clothing industry was significantly different?

Answers

Answer:

Yes, There is significant difference.

Step-by-step explanation:

Null Hypothesis , H0 : Mean income = 15000

Alternate Hypothesis , H1 : Mean income  ≠  15000

t = (x - u) / ( s / √n)

x = sample mean = 14500 here, u = population mean = 15000 here ,             s = standard deviation =  975 here  , n = sample size

t = (14500 - 15000) / (975 / √169)

-500 / 75 = - 6.66

As  calculated t value in absolute terms is > 1.96 , ie tabulated value at 95% significance level (two sided). So we reject the null hypothesis in favor of alternate hypothesis. Hence, we state that 'Mean Income ≠  15000'

Adaline has 24 stuffed animals. Of those, six are my mythical creatures. What percentage of Adaline's stuffed animals are mythical creatures?

Answers

Answer:

6% are Adaline's mythical creatures

Step-by-step explanation:

Its you the number of mythical creatures Adaline's has, Hope this works!!

WILL MARK BRAINLIEST TO THE PERSON WITH THE BEST ANSWER!!! PLEASE ANSWER ALL QUESTIONS AND PLEASE SHOW FULL SOLUTIONS! PLEASE MAKE SURE YOU DID IT RIGHT. I NEED EVIDENCE THAT SHOWS WHY ITS THE ANSWER. THANK YOU.

Answers

Hey there!

Here is a graph of the points:

A scatterplot is a graph, but the points won't be able to connect in a straight line, and they have no relation.

A line of best fit is a line that goes evenly through the points, or as best as it could.

(05.05) Which of the following inequalities matches the graph? (1 point)​

Answers

Answer:  Choice A.   [tex]x \le -7[/tex]

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

Explanation:

Every point in the shaded region has an x coordinate that is equal to -7 or smaller.

Example points include

(-8, 0)(-10, 2)(-9, -5)

The y coordinate does not matter. All that matters is the x coordinate. The boundary line is the equation x = -7, representing all points that have x coordinate of -7. The solid boundary line says to the reader "any point on this boundary line is part of the shaded region solution set". This inclusion is due to the "or equal to" of the inequality sign.

Isaac is making a cookie recipe that requires 3 cups of sugar for every 6 cups of flour Isaac only has 4 cups of flour he concludes that he will only need two cups of sugar

A. Isaac is incorrect he needs three cups of sugar because decrease in the number of cups of flours by 2 requires increasing the number of cups of sugar by 2.

B. Isaac is the correct one third of the amount of sugar is needed because only one-third of the recipe will be made.

C. Isaac is incorrect the number of cups of sugar must be reduced by 2 because the number of cups of flour is reduced by 2.

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​

Answers

Answer:

Step-by-step explanation:

D. Isaac is correct he needs 2 cups of sugar because a ratio 2 to 4 is equivalent to 3to6 ​,

(The ratio 3:6 is equivalent to 1:2, similarly 2:4 is equivalent to 1:2, therefore the ratios 3:6 and 2:4 are the same)

Answer:

the answer is D

hope this helpful

Item 9
Question 1
Solve the inequality. Graph the solution.

t−4≤−14

Answers

I think it’s negative 10 ^^

The solution of the given inequality is t ≤ -10.

What is inequality?

When two values are not equal to one another, there is an inequality between them, which is a mathematical concept. It is a claim that one value exceeds or falls short of another.

Mathematical symbols for inequalities include (less than), > (greater than), (less than or equal to), and (greater than or equal to).

Given that,

t - 4 ≤ -14

The inequality can be solved as below,

t - 4 ≤ -14

t ≤ -14 + 4

t ≤ -10

Therefore, the solution to the inequality is t ≤ -10.

To know more about inequality follow

https://brainly.com/question/24372553

SPJ2

what is the slope intercept form of the line ?

Answers

Answer:

D

Step-by-step explanation:

Its d because in the graph the line where they are at is positive and the answer shows (2,2) in the graph.

Answer:x+2=y

Step-by-step explanation:

Find the side of square , if it's perimeter is 18cm .also find its area​

Answers

Answer:

a side of a square with a 18cm ´perimeter would be 4.5cm

area would be 20.25

Step-by-step explanation:

You can calculate the area of a square by using both the length of one side and its perimeter. Divide the perimeter length by 4 to get the measurement for each side of the square.

Which of the following explains why space objects are massive in size?

Icy and gaseous material was pushed out by the sun's heat.

Hydrogen atoms fused to form helium due to high pressure.

Large objects clumped together due to gravity to form larger objects.

Large objects were broken apart due to gravity to form fine stellar dust.

Answers

Answer: C) Large objects clumped together due to gravity to form larger objects.

Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.

Answer:

Large objects clumped together due to gravity to form larger objects.

Explanation:

All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.

A plot of land is in the shape of a triangle. Two of the angles measure 48 degrees and 74 degrees. The length of the side between them is 90 m.


a) calculate the perimeter of the plot, to the nearest meter.

b) calculate the area of the plot, to the nearest square meter.

Answers

Answer:

Perimeter = 271 meters

Step-by-step explanation:

third angle measure would have to be 180 - 122 = 58 degrees

you can use the law of sines:

sin 58° = sin 74°

   90           b

.85 = .96

 90       b

cross-multiply:  .85b = 86.4

                          b = 102

now do again to find third side:

sin 58° = sin 48°

   90           c

.85 = .74

 90       c

.85c = 67

c = 79

now you know all 3 sides so add them to get perimeter (79+102+90) = 271

What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.

Answers

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

How do I solve this using long division?

Answers

Answer:

x + 5

Explanation:

x^2 + 3x − 10 /x−2  

=  x^2 + 3x − 10 /x − 2

=  (x−2)(x+5) /x−2

= x + 5

I need step by step please w + 4 = (-6)

Answers

Answer:

w = -10

Step-by-step explanation:

[tex]w+4=(-6)\\\\w+4=-6\\\\w+4-4=-6-4\\\\\boxed{w=-10}[/tex]

Hope this helps.

Ok So I just learned this.

The answer is -10

4 + -6 is -10

Or if you’re not finding the sum it’s 4w = -6.

I hope this helped!

Press A can make 100 forms an hour. The table below shows the productivity of press B. How much faster is press B than press A?​

Answers

Answer:

3.3

Step-by-step explanation:

I think so I don't know

She writes the expression (0.2) (14). Which change in Mikel's expression will lead her to the correct answer? The 14 in the expression could be changed to 28. The 0.2 in the expression could be changed to 0.4. The 14 in the expression could be changed to 70. The 0.2 in the expression could be changed to 2.

Answers

Complete question :

Mikel creates the table below to help her determine 40% of 70. She writes the expression Which change in Mikel’s expression will lead her to the correct answer?

Corresponding chart for the problem is attached below.

Answer:

The 0.2 in the expression could be changed to 2.

Step-by-step explanation:

40% of 70

Directly working this out, we obtain :

0.4 * 70 = 28

From the table :

To obtain same from the columns, 0.2 is adjusted to 2.

Hence, 2 * 14 = 28

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