The Celestial Sphere is an imaginary sphere surrounding the Earth, on which all celestial objects such as stars, planets, and the Sun appear to be located. It provides a convenient reference frame for studying and describing the positions and motions of celestial bodies.
Here is a description of the key components of the Celestial Sphere, along with a labeled diagram:
1. Zenith: The Zenith is the point directly overhead an observer on the Earth's surface. It is located on the Celestial Sphere's dome and is in a direct vertical line from the observer.
2. Nadir: The Nadir is the point directly beneath an observer on the Earth's surface. It is exactly opposite the Zenith and is located on the Celestial Sphere's dome, forming a straight line with the observer and the Earth's center.
3. Celestial Equator: The Celestial Equator is an imaginary circle on the Celestial Sphere that is a projection of the Earth's equator into space. It divides the Celestial Sphere into northern and southern hemispheres.
4. North Celestial Pole: The North Celestial Pole is the point on the Celestial Sphere that appears to be directly above the Earth's North Pole. It is the point around which the stars appear to rotate in the northern hemisphere. It serves as a reference for determining the direction of true north.
[Diagram]
North Celestial Pole
|
|
Zenith • Observer • Nadir
|
|
Celestial Equator
In the diagram, the North Celestial Pole is labeled as the point above the observer's head, the Zenith is marked as the highest point on the Celestial Sphere directly above the observer, the Nadir is indicated as the lowest point on the Celestial Sphere directly beneath the observer, and the Celestial Equator is represented as a circle that divides the Celestial Sphere into two halves.
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Which number would not go in the shaded part of the Venn diagram?
Natural Numbers
Whole Numbers
Integers
Rational Numbers
A.
B.
C.
D.
Answer:
A 3.14159.......
Step-by-step explanation:
We need a non rational number
3.14159 is pi which is an irrational number
1/7, .27(repeating) and .83333(repeating) can be written in the form
a/b where a and b are integers, which makes them rational
Answer:
its a
Step-by-step explanation:
....
the equation of line r is y= -7/2x + 3. line s is parallel to line r. what is the slope of line s?
Answer:
m = -7/2
Step-by-step explanation:
If two lines are parallel, they have the same slope. The slope of r is -7/2 (y=mx+b), so the slope of r is also -7/2.
Hi My teacher hasn't been in online class for a week and I dont get the math and I need help
Sebastian, this is the solution to the first problem you uploaded:
Let's recall that the interior angles of a triangle add up to 180 degrees.
Then if E =
(-2 , -8) 3 units left and 5 units up
Answer:
(-5, -3)
Step-by-step explanation:
x = -2 + (-3)
x = -5
-----------------
y = -8 - (5)
y = -3
Joe won 85 pieces of gum playing hoops at the county fair. At school he gave three to every student in his math class. He only has 10 remaining. How many students are in his class
Answer:
25 students
Step-by-step explanation:
85 minus 10 = 75. this tells you how many he gave away.
75 pieces of gun divided by 3 is 25.
He gave out 3 pieces of candy, 25 times
betty and karen have been hired to paint the houses in a new development. working together, the women can paint a house in two-thirds the time that it takes karen working alone. betty takes 8 h to paint a house alone. how long does it take karen to paint a house working alone?
It take 4 hours to paint a house working alone.
Betty and karen have been hired to paint the houses in a new development. Working together the women can paint a house in two thirds the time that it takes karen working alone. Betty takes 8 hours to paint a house alone. How long does it take karen to paint a house working alone?
According to the problem, when Betty and Karen work together, they can paint a house in two-thirds the time it takes Karen to paint a house alone, so t * 2/3.
Let k = time it takes Karen to paint the house alone
then
(2/3)(k)(1/k + 1/8) = 1
(2k/3)(1/k + 1/8) = 1
(2k)(1/k + 1/8) = 3
(2 + k/4) = 3
K=4
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3.14 × 10³ ○ 2.6 × 10⁴ = ?
( compare )
Answer:
3.14 times 1000 you can say is bigger
Step-by-step explanation:
Find the Sine, cosine, tangent of - 120
Solution
Find the Sine, cosine, tangent of - 120
\(\sin (-120)\)\(\begin{gathered} \mathrm{Use\: the\: following\: property\colon}\: \sin \mleft(-x\mright)=-\sin \mleft(x\mright) \\ \sin \mleft(-120^{\circ\: }\mright)=-\sin \mleft(120^{\circ\: }\mright) \\ =-\sin \mleft(120^{\circ\: }\mright) \\ =-\frac{\sqrt{3}}{2} \end{gathered}\)\(\cos (-120)\)Put these numbers in order from greatest to least.
3/10, 0.6 and 0.7
Find the volume of the solid. Round your answer to the nearest tenth.
Answer:
\(\boxed{ \approx 1734.2 m^2}\)
Step-by-step explanation:
The volume of a cylinder \(V_c\) is calculated using the following formula.
\(V_c=\pi r^2 h_c\)
And, the volume of a circular pyramid \(V_p\) is calculated with the:
\(V_p=\frac{\pi r^2 h_p}{3}\)
where:
\(r=\) is the radius of the base\(h=\) is the height of the cylinder/circular pyramid.knowing this, we can solve the exercise:
\(\begin{aligned}V&= V_c+V_p\\&=\pi r^2 h_c+ \frac{\pi r^2 h_p}{3}\\&= \pi r^2 (h_c+ \frac{h_p}{3})\\&= \pi (6)^2 (12+\frac{10}{3})\\&= 552 \pi m^2\\& \approx 1734.2 m^2\end{aligned}\)
\(\text{-B$\mathfrak{randon}$VN}\)
ANSWER QUICK NOWWWWWWWWWW! IMPORTANT TEST
Answer:
The answer is the third graph.
Step-by-step explanation:
Since we are looking for a constant balance, we should focus on the line in the graph. In graph 3, we see a line going straight horizontally, without any inclines or declines. Since the word "constant" in Mathematics is a line that has a slope of 0, the answer must be the third graph.
What number can I multiply by to get 50, but add to get 14?
Answer:
there is no number that can do that the closest you can get is 7 and 7 giving you 49 when multplied
Step-by-step explanation:
Answer:
10 × 2 × 2 = 50
10 + 2 + 2 = 14
Which equation could be used to find m∠j in â–³jkl? x = cosâ€""1(startfraction 8.8 over 11 endfraction) x = cosâ€""1(startfraction 11 over 8.8 endfraction) x = sinâ€""1(startfraction 8.8 over 11 endfraction) x = sinâ€""1(startfraction 11 over 8.8 endfraction)
The value of x is cos^-1(8.8/11).
image attached below,
The triangle in question is a right angled triangle with side KJ as hypotenuse, KL as the opposite (side facing the angle x) and JL is the adjacent. To find the equation needed to calculate the angle x, we will use the SOH, CAH, TOA trigonometry identity.
Trigonometry identity
It is defined as trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality .
According to CAH, cos (x) = adjacent/hypotenuse
cos(x) = JL/KJ
Given JL = 8.8 and JL = 11
cos (x) = 8.8/11
x= cos^-1(8.8/11).
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Combine like terms y+4+5(y+8)
Answer:
8y+9
Step-by-step explanation:
Answer:
6y + 44
Step-by-step explanation:
y + 4 + 5(y + 8)
y + 4 + 5y + 40
6y + 44
Find all solutions of the equation in the interval [0,2π).cosθ−1=−1Write your answer in radians in terms of π. If there is more than one solution, separate them with commas.
To solve the equation cosθ - 1 = -1 in the interval [0, 2π), we first add 1 to both sides of the equation to obtain cosθ = 0. Then, we recall that the cosine function equals 0 at π/2 and 3π/2 in the given interval. Thus, the solutions are θ = π/2 and θ = 3π/2.
We can add 1 to both sides of the equation to obtain cosθ = 0. This is because -1 + 1 = 0. Then, we recall the values of the cosine function in the given interval. The cosine function equals 0 at π/2 and 3π/2, so these are the solutions to the equation.
The solutions to the equation cosθ - 1 = -1 in the interval [0, 2π) are θ = π/2 and θ = 3π/2, expressed in radians in terms of π. There are two solutions, separated by a comma.
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6a-4a(3-4)=
Please help me
Answer:
Step-by-step explanation:
10a
-1/2 x+1 = -x+8
choices:
7
1/2
14
18
Answer:
14
Step-by-step explanation:
can you please mark this brainliest if it helped? <3
Answer:
x =14
Step-by-step explanation:
-1/2 x+1 = -x+8
Add x to each side
-1/2 x +x+1 = -x+x+8
1/2x +1 = 8
Subtract 1 from each side
1/2x +1-1- =8-1
1/2x = 7
Multiply each side by 2
1/2x *2 =7*2
x =14
How do I find the solution of each system of equations?
y = 2x - 1
y = 3x + 2
Answer:
x = -3, y = -7
Step-by-step explanation:
You can set the equations equal to each other, so the set becomes:
2x - 1 = 3x + 2
-x = 3
x = -3
y = 2(-3) -1 = -7
Answer:
x = -3
y = -7
Step-by-step explanation:
y = 2x - 1
y = 3x + 2
Set the equations equal to each other
2x-1 = 3x+2
Subtract 2x from each side
2x-1-2x = 3x+2-2x
-1 =x+2
Subtract 2 from each side
-1-2 = x+2-2
-3 =x
Now find y
y = 2x-1
y = 2(-3) -1
y = -6-1
y = -7
Function f is a linear function and function g is defined by g(x) = f(x) + k. If the value of k is 7, how does the graph of g compare with the graph of f ?..
The graph of g is the graph of f
translated up 7 units
translated left 7 units
translated right 7 units
translated down 7 units
stretched vertically by a scale factor of 7
stretched horizontally by a scale factor of 7
The graph of g is Transformation up 7 units.
what is Transformation?
A graph transformation is a method for altering an existing graph or graphed equation to create a different version of the graph that follows. The modification of algebraic equations is a typical form of algebraic issue.
solution:
From the question, we have the following parameters that can be used in our computation:
g(x) = f(x) + k
Also, we have the value of k to be
k = 7
From the question, we can interpret g(x) = f(x) + k as f(x) is shifted up by k units
This means that
g(x) = f(x) + k
So, we have
g(x) = f(x) + 7
Hence, the transformation is (a) translated up 7 units
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Help me with this question please
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
you can answer as the color marked instead of typing the whole thing out!
find the common ratio of the geometric sequence -13, 117, -1053
Answer: -9
Step-by-step explanation: 117 divided by -13 = -9
-1053 divided by 117 = -9
common ratio=-9
A production process operates with 1% nonconforming output. Every hour a sample of 25 units of product is taken, and the number of nonconforming units counted. If one or more nonconforming units are found, the process is stopped and the quality control technician must search for the cause of nonconforming production.
a. What is the probability that 1 or more nonconforming units is found?
b. What is the probability that exactly 3 units are nonconforming?
a. The probability that 1 or more nonconforming units are found is 0.2311.
b. The probability that exactly 3 units are nonconforming is 0.000058.
a. To solve the problem, you can use the complement rule. The complement rule states that the probability of an event occurring is 1 minus the probability of the event not occurring. So, in this case, the probability that no nonconforming units are found in a sample of 25 units is:
P(no nonconforming) = (0.99)²⁵ = 0.787.
Therefore, the probability that 1 or more nonconforming units are found is:
P(1 or more nonconforming) = 1 - P(no nonconforming) = 1 - 0.787 = 0.213.
Rounded to four decimal places, this is 0.2311.
b. To solve the problem, you can use the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k).
Here, n = 25 is the sample size, k = 3 is the number of nonconforming units, and p = 0.01 is the probability of a unit being nonconforming.
Using the formula, we get:
P(X=3) = (25 choose 3) * (0.01)³ * (0.99)²² = 2300 * 0.000001 * 0.5459 = 0.000058.
Rounded to six decimal places, this is 0.000058.
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how to know if three sides can from a triangle
Answer:
place them diagonally ik that
PLEASE HELP!!
Fill in the blank. In the triangle below, x =_____. Round your answer to two decimal places.
Answer:
Step-by-step explanation:
Using Trigonometry: SOH CAH TOA,
tan (47°) = x/35Cross multiplying:
x = tan (47°) × 35
= 37.5329
= 37.53 to two decimal places
solve this it attached
\(\\ \sf\longmapsto \dfrac{15}{k}\)
k=3Put the value
\(\\ \sf\longmapsto \dfrac{15}{3}\)
\(\\ \sf\longmapsto 5\)
\(\large\bf{\orange{ \implies}} \tt \: \frac{15}{k} \\ \)
Value of k is 3
\(\large\bf{\purple{ \implies}} \tt \: \cancel\frac{15}{3} \: = \: 5 \: \\ \)
What is the value of x in the equation ? (image below)
Answer: 2
Step-by-step explanation:
2.5(6x-4)=10+4(1.5+0.5x) [Work out the brackets]
15x-10=0+6+2x [Solve]
15x-10=16+2x [Convey the terms]
15x-2x=16+10 [Add up the same terms and calculate]
13x=26 [Divide both parts]
x=2
Answer:
x = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2.5(6x - 4) = 10 + 4(1.5 + 0.5x)
Step 2: Solve for x
Distribute: 15x - 10 = 10 + 6 + 2xCombine like terms: 15x - 10 = 16 + 2xSubtract 2x on both sides: 13x - 10 = 16Add 10 to both sides: 13x = 26Divide both sides by 13: x = 2Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 2.5(6(2) - 4) = 10 + 4(1.5 + 0.5(2))Multiply: 2.5(12 - 4) = 10 + 4(1.5 + 1)Subtract/Add: 2.5(8) = 10 + 4(2.5)Multiply: 20 = 10 + 10Add: 20 = 20Here we see that 20 does indeed equal 20.
∴ x = 2 is a solution of the equation.
PLEASE HELP
What is the approximate volume of the cone
Use 3.14 for TT.
57 cm3
339 cm3
509 cm3
1526 cm3
The volume of the Illustrated cone used as an example is 51.3cm³.
How to calculate the volume?Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A cone is a recognizable three-dimensional geometric shape with a flat and curved surface that is pointed upward. The formula for the volume of a cone is V=1/3hπr²
Let's say the radius is 7cm. The volume will be:
= 1/3 × 3.14 × 7²
= 51.3cm³
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In the table, describe the shape of the cross section formed when a particular plane passes through the cylinder.
triangle is the best answer
Answer:
Step-by-step explanation:
Which type graph is the best choice for determining the change in the stock market over time?
a. Scatter Diagram
b. Time-series Plot
c. Box Plot
d. Pie Chart
Time-series Plot graph is the best choice for determining the change in the stock market over time.
The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.
Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.
A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.
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