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
Answers
Answer:4124966.126
Step-by-step explanation:
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:
brainly.com/question/26719838
#SPJ7
Related Questions
help its really urgent
Answers
Answer:
QR and WX are parallel lines. XV and ST or congruent lines. ST, QR, VR, XS, are lines perpendicular to RS.
Step-by-step explanation:
Its self explanatory (just kidding dont know how to explain)
What is the percent of the shaded portion of the
figure??
60%
80%
20 %
.60%
HELP MEEE PLSSSSSSSS
Answers
((sorry if I got it wrong))
Find the mode 24,22,46,23,20,25,24
Answers
Answer:
24
Step-by-step explanation:
We are given a strand of numbers and are asked to find the mode.
To find mode, we have to see which number appears the most within the number strand, let's start with ordering the numbers from least to greatest.
20, 22, 23, 24, 24, 25, 46
Looking at the strand we see that 24 appears the most, therefore 24 is the mode.
Answer:
24
Step-by-step explanation:
Put the numbers in order.
20, 22, 23, 24, 24, 25, 46
Count how many of each number.
20
22
23
24, 24
25
46
The number that appeared the most is the mode.
24 appeared twice and the other numbers appeared only once.
TRUE OR FALSE PLEASE
Answers
Answer:
false
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
I'm pretty sure...Factor the expression -18y-27
Answers
Answer:
-9(2y+3) Tip: Download photo math lol : )
PLease please
Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent error?
please
Answers
Answer:
He spent 150% than what he estimated.
Step-by-step explanation:
15 ÷ 10 = 1.5 = 150%
Answer: 66.67%
Step-by-step explanation: The first step is to divide 10 by 15 to get the answer in decimal form: 10 / 15 = 0.6667 Then, I multiplied the answer from the first step by one hundred to get the answer as a percentage: 0.6667 * 100 = 66.67%
What is the value of s?
units
Answers
A popular sports drink uses sugar as a sweetener. The radio of pints of spors drink to grams of sugar is 5:16.
Erika only wants to consume 4 grams of sugar from her sports drink.
How many pints of the sports drink can erika drink?
Answers
Answer:
¯\_(ツ)_/¯
Step-by-step explanation:
Is this theorem AA, SSS, or SAS? If so how do you know?
Answers
A manager uses the following equation to predict monthly receipts: Y-450-10 Lt time in weeks and y = receipts.) What is the forecast for July 14th ift=4 is the fourth week in January and t = 6 is February 14th of the same year (assume there are 4 weeks in each month)?
a. 690
b. 710
c. 730
d. 750
A major reason that decision making is often not such a rational process is that there are: Suppose we have H0:µ1= µ2 versus HA: µ1 ≠ µ2, with level of significance of α =.05 and critical values of zα/2 = ± 1.96, and the computed Test Statistics value of Z = -1.07. What is our decision?
Answers
Answer:
b. 710
Fail to reject H0
Step-by-step explanation:
Forecast for July 14 :
Assume there are 4 wwwks in each month :
January to June = ( 4 * 6 months) = 24 weeks in 6 months ;
July - July 14 = 2 weeks :
2 + 24 = 26 weeks
The model given :
Y = 450 + 10t
Y = 450 + 10(26)
Y = 450 + 260
Y = 710
2.)
Test is a 2 tail test :
Zstatistic = - 1.07
At 95% confidence = ±1.96
Zcritical = - 1.96
Hence,
Reject H0 if ;
Zstatistic < Zcritical
-1.07 > 1.96
Hence, fail to reject H0.
what is m CDJ?
please help me I'm super confused.
Answers
Answer:
34 degrees.
Step-by-step explanation:
Assuming AK is a straight line and being shown angle JDK is right and 90 degrees it can be stated that 4x + (3x-8) = 90 degrees.
Drop the parentheses and get 7x - 8 = 90.
Add 8 to both sides 7x = 98.
Divide both sides by 7, x = 14.
Plug that x value into (3x-8), [3(14)-8] = 34 degrees.
Answer:
34 degrees
Step-by-step explanation:
So, because mJDK and mJDA lie on a line, they must be supplementary, and since mJDK is 90 degrees, mJDA must be too. So, you know that the combination of mADC and mCDJ must be 90 degrees. 4x+3x-8=90 simplified is 7x=98, which says that x is equal to 14. So you plug in the values for 3x-8, and voila! mCDJ is 34!
Write an exponential function in the form y=ab^x that goes through points (0,6) and (5, 6144)
Answers
Given:
An exponential function goes through points (0,6) and (5, 6144).
To find:
The exponential function.
Solution:
The general form of an exponential function is
[tex]y=ab^x[/tex] ...(i)
It goes through points (0,6) and (5, 6144). It means the equation must be satisfied by these two points.
Putting x=0 and y=6, we get
[tex]6=ab^0[/tex]
[tex]6=a[/tex]
Putting a=6, x=5 and y=6144, we get
[tex]6144=6b^5[/tex]
[tex]\dfrac{6144}{6}=b^5[/tex]
[tex]1024=b^5[/tex]
Taking 5th root on both sides, we get
[tex]\sqrt[5]{1024}=b[/tex]
[tex]4=b[/tex]
Putting a=6 and b=4, we get
[tex]y=6(4)^x[/tex]
Therefore, the required exponential function is [tex]y=6(4)^x[/tex].
Can someone help me, please??
Answers
Answer:
im gonna say its the last one
Step-by-step explanation:
all of the graphs and histograms ive seen have a 0 at the y
You take your favorite teacher out to lunch. The total
cost of your meals was $37.50. You want to add a 20%
tip. What is the new final total?
Answers
Answer:
it would be 45 total with the 20%
Helppppp pleaseeee thanks ✏️
Answers
Answer:
H
Step-by-step explanation:
Sum of angles in a triangle is 180 degrees
That means
180= 25 + 45+ unknown angle
180= 70 + unknown angle
180 - 70 = unknown angle
110 = unknown angle
The marked price of a sweater at the clothing store was $24.
During a sale, a discount of 25% was given. A further 15%
discount was given to the customers who have the store's
credit card. How much would a member customer need to pay
for the sweater during the sale if the customer paid with the
store's credit card? Round your answer to the nearest cent.
Answers
Answer:
Ambitious Ambitious Ambitious Ambitious
Determine the length of side .qs
Question options:
A)
2.4
B)
3.4
C)
5.7
D)
1.9
Answers
Answer:
i don't know this i think its 3.4 or 1.9
Answer:
A) 2.4
Step-by-step explanation:
Find the slope given: (-99, 38) & (-99,722)
m =
Answers
Answer:
722-30=y
-99--99=x
(0,692)
I hope this helps, have a nice day :)
Step-by-step explanation:
Joey pays $35.85 each month for his new stereo what does he pay each year
Answers
$430.20
STEP BY STEP
there are 12 months in a year so multiply that number by 12.
Hope this helps
Answer:
$430.20
Step-by-step explanation:
35.85 x 12= 430.20
PLEASE HURRY! I'M BEING TIMED! A botanist uses the representations below to show the heights in inches, h, of different plants over a period of time, t. Plant A Time in weeks, t 60 80 100 120 Height in inches, h 90 120 150 180 Plant B h = StartFraction 4 t Over 3 EndFraction A graph has time (in weeks) on the x-axis and height (in inches) on the y-axis. A line goes through points (50, 150) and (120, 360). If the growth patterns continue, how much taller is the tallest plant than the shortest plant at 120 weeks of growth?
Answers
Answer:
200 inches
hope that helps :)
Step-by-step explanation:
Answer:
B-200 inches
Step-by-step explanation:
Help plz I will give you BRAINLYST I don't know if I spelled that right lol but plz and I will give you a follow!?!?!?!?
The value of 34 + 5 ⋅ 5 = ___.
Answers
Answer:
59
34+5×5=34+25=59
What about this one thank you so much
Answers
Answer:
19 is the answer
Step-by-step explanation:
How many cartwheels can Suzy do? :)
Answers
Answer:
100 :)
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
5(3x - 7 + 4y)
*
+
Your answer
Answers
Answer:
15x - 35 + 20y
Step-by-step explanation:
distribute
5 x 3x = 15x
5 x -7 = -35
5 x 4y = 20y
hope it helps;)
Jasmine wants to earn $2,000 in simple interest through a
bank account earning 5% annually. How much principal
would she need to invest in the account to meet her interest
goal in 4 years?
Answers
Answer:
$10000
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 5%/100 = 0.05 per year,
then, solving our equation
P = 2000 / ( 0.05 × 4 ) = 10000
P = $ 10,000.00
The principal required to
accumulate interest of $ 2,000.00
on a rate of 5% per year for 4 years is $ 10,000.00.
If f(x) = |x| + 9 and g(x) = –6, which describes the range of (f + g)(x)?
Answers
Answer:
it’s A. (f+g)(x) is greater than or equal to 3 for all values of x.
Step-by-step explanation:
I got it right on the test.
Answer:Yoo the anser is A
Step-by-step explanation:
for the makeupo math corse
-(f + g)(x) 3 for all values of x
The equation Y+B=3(x-9) is written in point-slope form. What is the equation written in slope-intercept form?
Oy-x-3
O y-3x+9
O y-sx-9
O y-3x+3
Answers
Answer:
[tex]y = 3x - 27-b[/tex]
Step-by-step explanation:
Given
[tex]y + b = 3(x - 9)[/tex]
Required
Write in slope intercept
Open bracket
[tex]y + b = 3x - 27[/tex]
Collect Like Terms
[tex]y = 3x - 27-b[/tex]
) The Deerfield Township mayor would like to know where his constituents stand on a tax break for local small business that will appear on the upcoming election ballot. To get a better sense he decides to conduct a poll in the community. a. Describe the appropriate intended population the mayor should study. Be specific. b. Describe a method that could be used to select a random sample of size 150 from the intended population. Be as detailed as you can, and pretend you are explaining this to someone with no statistical experience. c. What is the sample for this study
Answers
Answer:
a.) Citizens of Deerfield Township who have the right to vote.
B.) Stratified Random Sampling
C.) The citizens in each strata, 150 voters
Step-by-step explanation:
Deership Citizens who have voting right.
B.)
Stratified Random sampling : A random selection of voters based on criteria such as Dividing the whole township into districts and then random samples of voters is chosen from each district. For instance, if there are 15 different districts, a random sample of 10 voters is chosen from each district.
15 * 10 = 150
C.) The sample refers to a subset of the population which when chosen at random is representative of the larger population. The sample in the study are the voters in each strata.
A jar contains 93 marbles, of which 32 are blue, 20 are red, and the rest are green. What is the ratio of green marbles to all marbles?
Answers
Answer: 52:41
Step-by-step explanation:
A man wishes to keep some money in savings de-
posit at 25% compound interest so that after 3
years he can buy a car for N150000. How much
does he need to deposit now?
Answers
Answer:
He needs to deposit N76800 now.
Step-by-step explanation:
The amount of money is compound interest after t years is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial amount of money invested and r is the interest rate, as a decimal.
25% compound interest so that after 3 years to buy a car for N150000.
This means that:
[tex]t = 3, P(t) = 150000, r = 0.25[/tex]. So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = P(0)(1+0.25)^t[/tex]
[tex]P(t) = P(0)(1.25)^t[/tex]
[tex]150000 = P(0)(1.25)^3[/tex]
[tex]P(0) = \frac{150000}{(1.25)^3}[/tex]
[tex]P(0) = 76800[/tex]
He needs to deposit N76800 now.