Question 6 (1 point)
Astronomers often measure large distances using astronomical units (AU) where 1 AU is the average distance from Earth to
the Sun. In the image, d represents the distance from a star to the Sun. Using a technique called "stellar parallax,"
astronomers determined is 0.00001389 degrees. How far away is the star from the Sun in astronomical units? Show your
reasoning
NOT TO SCALE
Sun
d
star
0
1
Earth
I

Question 6 (1 Point)Astronomers Often Measure Large Distances Using Astronomical Units (AU) Where 1 AU

Answers

Answer 1

Answer:4124966.126

Step-by-step explanation:

Answer 2

Distance between star from the sun is d = 4124966.128 AU

What is Trigonometry?

Trigonometry is the branch of mathematics that deals with particular angles functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle.

The astronomical unit distance between the star and the Sun can be calculated using the trigonometric function.

As per the given data:

distance from Earth to the Sun (P) = 1 AU

θ = 0.00001389 degrees

From tanθ:

tanθ = P/B

{P = perpendicular and B = base}

From the diagram:

tanθ = 1/d

tan(0.00001389) = 1/d

d = 1/tan(0.00001389)

d = 4124966.128 AU

The separation between the sun and the star is d = 4124966.128 AU.

To learn more on, Trigonometry:

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Related Questions

0.2 as hundredths in fraction form

Answers

Answer:

20/100

Step-by-step explanation:

0.2 = 2/10 = 20/100

Write the equation for a line that is parallel to the line y=-1/3x -4 and passes through the point (3, -1)​

Answers

Answer:

y = -1/3x

Step-by-step explanation:

Since the line has to be parallel, that means it will have the same slope. So, we use the given point and slop to solve for the new y= mx + b using the equation y - y = m( x - x)

m= -1/3    x = 3   y = -1

y + 1 = -1/3(x - 3)

y + 1 = -1/3x + 1

y = -1/3x

the equation for the line is -1/3x

start time:11:33
End time:?

Elapsed time:4 hrs 55 mins

Answers

Answer:

4:28

Step-by-step explanation:

11:33+ 4hrs and 55 min

12:28+4hrs

4:28


Jake has 4 hours before bedtime. He must spend 1 1/2 hours doing homework. The rest of the time will be spent doing puzzles. It takes Jake 3/4 hour to
complete each puzzle. Write an equation that models the number of puzzles (p) that Jake can complete before bedtime.

Answers

Answer:

3 1/2 = 1/2*p-2

Explanation: p is number of puzzles

Answer:

He completes 3 1/3 puzzles

Step-by-step explanation:

1 hour 30 mins+ 45 minutes+45 minutes+45 minutes+15 minutes = 4hrs

2 numbers that equal 17 and 5

Answers

Answer:

3 +2 = 5 and 12 + 5 = 17

Step-by-step explanation:

i hope this helps im not sure if its frght or if it helps sorry if its wrong.

2.2.12 In the design of an electromechanical product, 12 com- ponents are to be stacked into a cylindrical casing in a manner that minimizes the impact of shocks. One end of the casing is designated as the bottom and the other end is the top. a. If all components are different, how many different designs are possible

Answers

Answer:

479,001,600 different designs are possible

Step-by-step explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

[tex]A_{x} = x![/tex]

In this question:

12 elements. So

[tex]A_{12} = 12! = 479001600[/tex]

479,001,600 different designs are possible

Which amount is greater, 5 feet or 2 yards?

Answers

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

5% of 1000 I can’t figure it out

Answers

Answer:

50

Step-by-step explanation:

.05 x 1000=50

Please help It’s EASY MATH

Answers

b.) 2
you have to multiply by 2 to get from a to b
I believe its B.) 2 !
Using the scale factor (i assume we are scaling up?) : larger length / smaller length we get 5/2.5 which simplifies to 2

Apologies if I’m wrong

For his long distance phone service, Carlos pays an $8 monthly fee plus 6 cents per minute. Last month, Carlos's long distance bill was $12.08. For how many minutes was Carlos billed?

Answers

Answer:

68 minutes

Step-by-step explanation:

12.08=0.06x+8

4.08=0.06x

68=x

Find the values of x and y.

Answers

Answer:

x = 67

y = 169

Step-by-step explanation:

We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.

Solve for x:

x-1 = 66

x = 67

Now solve for y:

(67-1) + 52 + (y-7) = 180

y = 169

Here are some fractions.
10/15
4/6
12/18
10/16
16/24
One of these fractions is NOT equivalent to
2/3

a) Which fraction?

b) Work out 1/8 + 3/4

Give your answer in its simplest form.

Answers

a. 10/15
b. 7/8
those r the answers

Answer:

10/16 is not equivalent to ⅔.

⅛+¾=⅞

Step-by-step explanation:

To simplify to simplest form find the GCF for both and divide on each side.

[tex] \frac{10}{15} = \frac{2}{3} [/tex]

the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

When you divide the numerator and denominator by 2 (GCF) it would be ⅔.

[tex] \frac{12}{18} = \frac{2}{3} [/tex]

when you divide both the numerator and denominator by 6 (GCF) you get ⅔.

[tex] \frac{10}{16} = \frac{5}{8} [/tex]

when you divide the numerator and denominator by 2 (gcf) you get ⅝.

therefore, 10/16 is not equivalent.

[tex] \frac{1}{8} + \frac{3}{4} = [/tex]

Find the LCM

Least Common Multiple is 16.

8: 8, 16

4: 4, 8, 12, 16

[tex] \frac{2}{16} + \frac{12}{16} [/tex]

for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16

[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]

you can simplify by dividinv both sides by 2 to get 7/8.

hey i need help pls be honest. WILL GIVE BRAINLIEST!!!!!!!!

Answers

12 x 12 = 144
20 x 12 = 240
=384

ANSWER: 384

1). Solve for n n - 72 = 83 *
Helpppppppppp

Answers

Answer:

N=155 I am pretty sure thats the answer

What is The least common denominator of 11/12, 7/9, and 2/3

Answers

Answer:

261?

Step-by-step explanation:

LCD = 261

Equivalent Fractions with the LCD

11/29 = 99/261

7/9 = 203/261

2/3 = 174/261

I need help with this can someone help ​

Answers

My work:

3x4=12

12+12=24

6-4=2

2+2+2=6

24÷6=4

Your answer:

4

Hope this helps!

-Alex

Answer:

18.

Step-by-step explanation:

3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.

explain how to solve the equation 7s=28

Answers

divide 7 by both sides and it should be s=4

I owe $8500 on my credit card. The card has a promotional interest rate of 0% for 24 months. To repay the debt, I'm going to pay a fixed amount toward the balance every month. After 12 months, my remaining debt will be $6460. Which of the following equations correctly relates the remaining debt (D) to the number of months (t) I've been making payments? (Select all that apply.)

Question 4 options:

D=6460+170t

D=170t−6460

170t+D=8500

D=−170t+8500

D+6460=8500t

Answers

Answer:

170t+D=8500

D=170t−6460

Step-by-step explanation:

Mathematical models are used to explain real life situations.

We can see from the question that the total debt is $8500  while there is  interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.

Now, the equations that correctly model the situation are;

170t+D=8500D=170t−6460

Learn more about mathematical models:https://brainly.com/question/731147

Find the slope-intercept form of the equation of the line which contains the points (-2, 5) and (3, 20).

Answers

Answer:

y = 3x - 11

Step-by-step explanation:

First, use the y2-y1/x2-x1 format to find the slope: 20 - 5/3 - (-2)

(Note: change 3 - (-2) to 3 + 2 to make it easier for you)

Simplify 15/5.

Your slope would be 3/1 or 3.

Now use the slope-intercept format: y = mx + b

(Use either the first point or second point, I chose the first)

5 = 3(-2) + b

Multiply 3 and -2, which is -6.Subtract 5 from -6: -6 - 5 = -11

Your y-intercept is -11.

Hope this helped!

The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25 for each ride ticket. For what number of ride tickets will the cost be more at The Aquarium?​

Answers

Answer:

B

Step-by-step explanation:

Because 16 + 2.50 is less than 25 + 0.25x

what is an equivalent expression to 2x+10x

Answers

Answer:

=12x

Step-by-step explanation:

I NEED HELP!! (100 POINTS)

Kian wants to solve the equation 2x = -2x + 4. How could he use graphs to solve this equation?

Drag statements into order to complete an explanation.

Answers

Answer:

x = 1

Step-by-step explanation:

Given equation

2^x = -2x + 4

To solve graphically, following steps required

1. Graph the function

y = 2^x

2. Graph the function

y = -2x + 4

3. Identify any intersection of the lines

4. Take the x-coordinates of the intersection points and record as solution

See attached, the answer and the solution of the given equation

The solution is

x = 1

Answer:

Graph the curve that models 2^x.

Graph the line that models -2x+4.

Identify all points of intersection of the two graphs.

Solutions to the equation are the x-coordinates of points of intersection.

Angle x measures 42•. Find measure of angle y.

Answers

Answer:

C

Step-by-step explanation:

Chase's car used 4 gallons of gas to drive 86miles. How many miles did chase drive using 2 gallons? And how many gallons did chase use driving 215miles?

Answers

Answer:

43 mi & i think its 107.5 gal

Step-by-step explanation:

4 gal= 86 mi

4/2=2   86/2=43

2 gal= 43 mi

to get the 107 i just divided 215 by 2

THIS ONE IS EASY I WILL MAKE BRAINLIEST

Answers

Answer:

OF

Step-by-step explanation:

the shapes are the same, but bigger so you literally just find the same line from shape 1 to shape 2, but bigger

Answer:

the correct side is OP

Step-by-step explanation:

George has a box of marbles. Each marble weighs the same amount. When George places 37 marbles on a scale, the total weight is 148 grams. Which equation
models the weight (in grams), w, of m marbles?

(A) W=0.25m
(B) W=0.75m
(C) W=4m
(D) W=4.5m

PLEASE ASAP!

Answers

Answer:

Take 148÷37. Which equals 4. The answer is C.

10) La diferencia entre 17 y 1.234 es :

Answers

Answer:

15.766

Step-by-step explanation:

17 menos 1.234 es 15

Use the simple interest formula to find the interest earned for $347 at 9.63% for 5 years

Answers

Answer:

$167.08

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.63%/100 = 0.0963 per year,

then, solving our equation

I = 347 × 0.0963 × 5 = 167.0805

I = $ 167.08

The simple interest accumulated

on a principal of $ 347.00

at a rate of 9.63% per year

for 5 years is $ 167.08.

using integer to describe the situation 12 protons and an atom blank 18 electrons around an atom blank​

Answers

atoms and protons are tricking. they snicks and twix

HELP! What's the area of this kite?​

Answers

Answer:

12

Step-by-step explanation:

8 x 3ft = 24

4 x 3 = 12

24 + 12 = 36ft

so its B my g

Answer:

C.36ft2

Step-by-step explanation:

3+3=6

6x8=48

48/2=24

6x4=24

24/2=12

12+24=

36ft2

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