How far is the star away from the earth in AU?
Answers
Final answer:
The average distance between a star and Earth is typically measured in astronomical units (AU), which is the average distance between Earth and the Sun. To calculate the distance in AU, divide the star's distance in kilometers or miles by the average distance between Earth and the Sun.
Explanation:
The average distance from the Earth to a star is typically measured in astronomical units (AU). An astronomical unit is defined as the average distance between the Earth and the Sun, which is about 149.6 million kilometers or 93 million miles.
To calculate the distance to a star in AU, you need to determine the star's distance in kilometers or miles and then convert it to AU. For example, if a star is 900 million kilometers away, you divide that distance by the average distance between the Earth and the Sun to get the distance in AU. In this case, the star would be approximately 6 AU away from Earth.
It's important to note that the distances between stars and Earth are incredibly vast, so even a distance of a few AU is still very far.
Learn more about Distance between stars and Earth here:
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How do you convert y=-x-3 to standard form?
Triangle RST is congruent to triangle .Which sequence of transformations could have been used to transform triangle RST to produce triangle ? Choose exactly two answers that are correct. A. Triangle RST was reflected across the x-axis and then rotated 90° clockwise around the origin. B. Triangle RST was reflected across the x-axis and then reflected across the y-axis. C. Triangle RST was rotated counterclockwise 90° around the origin and then reflected across the x-axis. D. Triangle RST was translated 8 units right and then reflected across the x-axis.
Answers
Answer:
11
Step-by-step explanation:
To find the 4th term, you simply put 4 in for n because n denotes which term:
The answer is thus 11.
Answers
Answer:
5/16
Step-by-step explanation:
x-3y=-11
substitution
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x = 14 - 2y
Now, substitute this expression for x in the second equation:
(14 - 2y) - 3y = -11
Simplify the equation:
14 - 2y - 3y = -11
Combine like terms:
14 - 5y = -11
Now, solve for y:
-5y = -11 - 14
-5y = -25
y = -25 / -5
y = 5
Now, substitute the value of y back into the first equation to solve for x:
x + 2(5) = 14
x + 10 = 14
x = 14 - 10
x = 4
So, the solution to the system of equations is x = 4 and y = 5.
Consider brainliesttt
Answers
The Circumference of the circle is
15.7
and Area is
19.625
Answers
Answer:
Amy is 1200 seconds fater than Bill.
Step-by-step explanation:
b. Use your variables to determine expressions for the volume, surface area, and cost of the can.
c. Determine the total cost function as a function of a single variable. What is the domain on which you should consider this function?
d. Find the absolute minimum cost and the dimensions that produce this value.
Answers
Answer:
a) file annex
b) V(c) = π*x²*y
A(x) = 2*π*x² + 32/x
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
d) C(min) = 0,64 $
x = 1.123 in radius of base
y = 4,04 in height of the can
Step-by-step explanation:
See annex file
Lets:
call x = radius of the base of the cylinder and
y = the height of the cylinder
Then
Volume of the cylinder ⇒ V(c) = π*r²*h ⇒V(c) = π*x²*y
And y = V / ( π*x²) ⇒ V = 16 / ( π*x²)
Area of cylinder = lids area + lateral area
lids area = 2*π*x² ⇒ lateral area = 2*π*x*y
lateral area =2*π*x [16/(π*x²) ] ⇒ lateral area = 32/x
Then
A(x) = 2*π*x² + 32/x
Function cost C(x)
C(x) = 0.027 * 2*π*x² + 0.015 * (32/x)
C(x) = 0,1695*x² + 0,48 /x
Domain C(x) = {x/ x >0}
Now function cost:
C(x) = 0,1695*x² + 0,48 /x
Taking derivative:
C´(x) = 2*0,1695*x - 0.48/x² C´(x) = 0,339*x - 0.48/x²
C´(x) = 0 0.339*x³ - 0.48 = 0 x³ = 0.48/0.339 x³ = 1.42
x = 1.123 in
y = 16/πx² ⇒ y = 4,04 in
C(min) = 0,64 $