A sun's rays are vertical at the point A on a planet. At the point B, which is 2105 miles due north of A, the angle of the sun measured to be 7.4°. See the figure. Use this information to approximate the radius and circumference of the planet.

Answers

Answer 1

Answer:

radius: 1460 micircumference: 9174 mi

Step-by-step explanation:

If the angle of elevation at point B is 7.4°, then the sun is 90° -7.4° = 82.6° from the vertical. This is the measure of the central angle between the two points. That represents a fraction of a circle that is ...

  82.6°/360° = 413/1800 ≈ 0.229444...(repeating)

The relation between the given distance and the circumference is ...

  0.294444C = 2105 mi

  C = 2105 mi/0.294444 ≈ 9174 mi

The radius of the spherical planet is this divided by 2π:

  r = C/(2π) = 9174 mi/(2π) ≈ 1460 mi

The radius of the planet is about 1460 miles; the circumference is about 9174 miles.


Related Questions

A man flies a kite 354 feet in the air when he runs out of string, what is the angle of elevation if he had 200 yards of string to begin with

Answers

Answer:

Step-by-step explanation:

Assuming the string is straight (it will not be so due to gravity and wind load)

θ arcsin(354 / (200(3)) = 36°

)) Fill in the missing number.
()) 70% of
=
56

Answers

Answer: x=80

Step-by-step explanation: multiplying both sides by 100 and dividing both sides by 70  then we have x=56 x 100/70 then your answer is x=80. If you're using a calculator, simply enter 56x100 divided by 70  which will give you the answer  

Let that be x

70% of x=567/10 × x=56x=56×10/7x=8(10)x=80

You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)

Answers

Answer:

Step-by-step explanation:

if 50 AED= 12 Euro

for 1 AED ? Euro

50AED/1AED= 12Euro/x

cross multiplication:

50*x=12*1

50*x=12

x=12/50

x=0.24 Euro

so for 1AED you will get 0.26 Euro

what percent equals 44 =33

Answers

Answer:

33/44 = 0.75

0.75*44 = 33

Answer:

44% of 75 = 33

Step-by-step explanation:

7. Juanita is painting her house. She can either
buy Brand A paint and a paint roller tray or
a
Brand B paint and a grid for the paint roller. For
how many gallons of paint would the price for
both options be the same? If Juanita needs 15
gallons of paint, which is the better option?

Answers

Step-by-step explanation:

brand a is better option why because we have paint and paint roller

If you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Suppose y is the total cost and x is the gallons cases,

The equations according to the given condition are,

y = 27 x + 3

y = 2x +5

The values obtained after solving the above equation will be (1,30). As a result, 1 gallon of paint cost you $ 30.

For condition 2 Juanita needs 15 gallons of paint, x =15

For A, y = 408

For B, y = 380

The brands A and B cost $408 and $380.So the brand costs Juanita more.

Thus, if you buy 1 gallon can of paint both brands will cost $30 and brand B paint is a better option because it costs less.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ5

hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

E

Step-by-step explanation:

Like and give 5 star rating

Can someone help me please I’ve been stuck for a week :(

Answers

Answer:

8/25.

Step-by-step explanation:

As a fraction it is 32/100 but simplified is 8/25 :)

What is 6 3/4 percent of 800

Answers

Answer:

319973/400

Step-by-step explanation:

800 - 27/4%

800 - ( 27/4 × 1/100)

800 - 27/400

= 319973/400

I want to know what the letter a is , and how to do it.1/3 + a 5/4

Answers

STEP

1

:

           5

Simplify   —

           4

Equation at the end of step

1

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

2

:

           1

Simplify   —

           3

Equation at the end of step

2

:

  1          5

 (— +  a) -  —  = 0

  3          4

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  3  as the denominator :

        a     a • 3

   a =  —  =  —————

        1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

1 + a • 3     3a + 1

—————————  =  ——————

    3           3  

Equation at the end of step

3

:

 (3a + 1)    5

 ———————— -  —  = 0

    3        4

STEP

4

:

Calculating the Least Common Multiple :

4.1    Find the Least Common Multiple

     The left denominator is :       3

     The right denominator is :       4

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 1 0 1

2 0 2 2

Product of all

Prime Factors  3 4 12

     Least Common Multiple:

     12

Calculating Multipliers :

4.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 4

  Right_M = L.C.M / R_Deno = 3

Making Equivalent Fractions :

4.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      (3a+1) • 4

  ——————————————————  =   ——————————

        L.C.M                 12    

  R. Mult. • R. Num.      5 • 3

  ——————————————————  =   —————

        L.C.M              12  

Adding fractions that have a common denominator :

4.4       Adding up the two equivalent fractions

(3a+1) • 4 - (5 • 3)     12a - 11

————————————————————  =  ————————

         12                 12  

Equation at the end of step

4

:

 12a - 11

 ————————  = 0

    12  

STEP

5

:

When a fraction equals zero :

5.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 12a-11

 —————— • 12 = 0 • 12

   12  

Now, on the left hand side, the  12  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  12a-11  = 0

Solving a Single Variable Equation:

5.2      Solve  :    12a-11 = 0

Add  11  to both sides of the equation :

                     12a = 11

Divide both sides of the equation by 12:

                    a = 11/12 = 0.917

a = 11/12 = 0.917

                 

Answer:

11/12

Step-by-step explanation:

You want to subtract 5/4 minus 1/3 but you cant so you have to find the greatest denominator first which would be 12 because 3x4=12.

Since you multiplied 4x 3 to get 12 then you will multiply the 5 by 3 and the 1 by 4 to get this -> 5/4= 15/12     1/3= 4/12

Then subtract 15/12- 4/12= 11/12

a=11/12

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Answers

Answer:

Just in case you want me to answer all the questions, I will

Step-by-step explanation:

Question 1): answer is 25

Question 2): answer is 24

Question 3): answer is 100%

24/25 = 96/100

Box Question 1): 21/25 = 84/100

Box Question 2): 15/20 = 75/100

Box Question 3): 47/50 = 94/100

Box Question 4): 28/30 = 93.3/100

Box Question 5): 19/45 = 42.2/100

Box Question 6): 3/4 = 75/100

If a digit is underlined, put a line ONLY over the underlined digit, it is repeating

I'm not completely sure if this is correct, but I really think it is..

I hope this helps!

ramin must calculate 8.42 divided by 3.6 longhand but can't remember what to do about decimal points

Answers

Answer:

He should change 3.6 to 36

and

he should change 8.42 to 84.2

He should also move the decimal up when dividing like in the picture I posted.

Step-by-step explanation:

I other words, he should shift the decimal points to the right one

I hope that I could help!

He should also move the decimal up when dividing in the picture that is posted.

How can we interpret the division?

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division, thus, can be interpreted as equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

We need to find 8.42 divided by 3.6 longhand.

8.42 / 3.6

= 2.33

He should change 3.6 to 36 and he should change 8.42 to 84.2

He should also move the decimal up when dividing in the picture that is posted.

Learn more about division here:

https://brainly.com/question/26411682

#SPJ2

Can someone help me please

Answers

Answer:

40 students earned a B on this paper.

40%×80=32 people who chose action as their fav.

Write 12.325 as a mixed number. quick I need help

Answers

Answer:

493/40

i tried my best on it

Answer:

493 /40

Step-by-step explanation:

(12.325 × 100) /  (1 × 1000)  =  

=12325/ 1000

Is this a function or not a function?

Answers

Answer:

This is indeed a function

Match the event with the most appropriate probability word: The roll of a normal fair dice will show a 7.

A. Certainly
B. Likely
C. Evens
D. Unlikely
E. Impossible
F. Other

Answer this, plz.

Answers

Answer:

Option 3

Evens

. . . . . .. . ..

determine the slope and y intercept and write the equation in slope intercept form

Answers

Answer: slope is 2 and the y-intercept is 1  intercept form is y=2x+1

Step-by-step explanation:

If X = -6 and Y = 10 then find |x|-|3y|/|xy|

Answers

Answer:

(2)

Step-by-step explanation:

Solve.


w−(−1/6)=1.08


Enter your answer as a fraction in simplest form in the box.

Answers

Answer:

  137/150

Step-by-step explanation:

We can solve for w by adding -1/6 to both sides of the equation.

  w -(-1/6) = 1.08

  w = 1.08 +(-1/6) = 108/100 -1/6

  w = 54/50 =1/6 = 162/150 -25/150

  w = 137/150

day!
Altea is making pumpkin spice cupcakes.
She needs 15 ounces of pureed pumpkin
for each batch. If she makes 16 batches of
the cupcakes, how many ounces of the
pureed pumpkin will she need?
o

Answers

Answer:

240oz.

Step-by-step explanation:

15oz=1batch

She needs 16 batches.

15oz. x 16batches = 240oz.

Hope this helps :)

240oz
The other dud explained it

Complete the equation for the line shown in the graph. (-1,-2) (0,1) (1,4)

Answers

An equation for the ordered pairs you gave me is: y=3x+1

Hope this helped you!! :)

the sum of 2 times a number and 5 is equal to 7

Answers

Answer:

n = 1

Step-by-step explanation:

"The sum of" is addition

"2 times a number" is 2n

"and 5" is + 5

equals 7 is =7

2n + 5 = 7

     - 5   - 5

2n = 2

2n/2 = 2/2

n = 1

It takes Shawn 4 more hours to stain a deck than Michelle. Together it takes them 4.8 hours to complete the work. How long would it take Shawn to stain the deck by​ himself?

Answers

Answer:

4.4 hours

Step-by-step explanation:

It would take Shawn 4.4 hours, as this would give a time of .4 hours to Michelle, totaling 4.8 hours

what is 2+2=
Answer to get points

Answers

Answer:

4

Step-by-step explanation:

2+2=4

Elliot ran 4 laps in 209.2 seconds. If he ran at the same
speed for each lap, what was his time for each lap?

Answers

Answer: 52.3 seconds

Step-by-step explanation:

209.2 divided by 4

which is 52.3 seconds

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

The following formula gives the circumference C of a circle with radius r.
C=2πr
Find the circumference of a circle with radius 20

Answers

Answer:

The answer is 125.6

Step-by-step explanation:

C= 2x3.14x20

C=6.28x 20

C= 125.6

Simplify the following expression.

(42x + 59y) + (-14x + 35y)
A.
28x + 94y
B.
56x + 94y
C.
56x + 24y
D.
28x + 24y

Answers

Answer:

A. 28x + 94y

Step-by-step explanation:

First, line up the like terms as if you were adding vertically, and combine them.

(42x + 59y)

+ (-14x + 35y)

(28x + 94y)

Hope this helps :)

i'll mark brainliest, thanks in advance!​

Answers

Answer:

SSS

Step-by-step explanation:

are 2 isosceles right triangles congruent, have both sides and angles equal, so the answers are all valid, the simplest is SSS, 2 sides are the same and marked on the drawing, the third is the same accordingly

What is the output, or dependent variable or
quantity?
Х
f(x)
у
DONE

Answers

Answer:

x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.

Step-by-step explanation:

If the values of a variable depends on the other variable, then it called dependent variable.

If the value of a variable does not depend on the other, then it is called independent variable.

If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.

The given function is

Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.

The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.

Substitute x=2 in the given function.

The value of f(2) is 2.

Answer:

f(x)

Step-by-step explanation:

The graphs below have the same shape. What is the equation of the blue
graph?

A) g(x) = (x-4)^2
B) g(x) = (x+4)^2
C) g(x) = x^2 + 4
D) g(x) = x^2 - 4

Answers

The graphs of f(x) and g(x) are related by transforming one of the two graphs.

The equation of the blue graph is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

From the graphs, we have:

[tex]\mathbf{f(x) =x^2}[/tex]

f(x) is transformed to the right by 4 units.

The rule of this transformation is:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we start by calculating f(x - 4)

Given that:

[tex]\mathbf{f(x) =x^2}[/tex]

Substitute x - 4 for x in f(x)

[tex]\mathbf{f(x - 4) =(x - 4)^2}[/tex]

Also, recall that:

[tex]\mathbf{g(x) \to f(x - 4)}[/tex]

So, we have:

[tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Hence, the equation of g(x) is [tex]\mathbf{g(x) =(x - 4)^2}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

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