Bridgette has drawn a representation of a sphere with a
radius of 3 units, using the graphs of a circle and an ellipse,
as shown in the picture below on the left.
She needs to determine the equations of the graphs that
will generate the representation of the 3D sphere, as
shown in the picture below on the right.
What are possible equations of the circle and ellipse that
Bridgette can use to create her 3D drawing?
Answers
Answer:
C
Step-by-step explanation:
You want the equations of the circle and ellipse in the given figure.
EquationsThe standard form equation for an ellipse is ...
[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]
where 'a' and 'b' are the semi-axes in the x-direction and y-direction, respectively.
You will notice that when a=b=r, the ellipse becomes a circle and the equation can be rewritten as ...
[tex]\dfrac{x^2}{r^2}+\dfrac{y^2}{r^2}=1\ \Longleftrightarrow\ x^2+y^2=r^2[/tex]
ApplicationHere, the radius is 3, the same as the semi-major axis in the x-direction (a=3). The ellipse axis in the y-direction appears to be about 1/3 that value, so b=1, and the equations of the circle and ellipse are ...
[tex]x^2+y^2=9\qquad\text{circle}\\\\\dfrac{x^2}{9}+\dfrac{y^2}{1}=1\qquad\text{ellipse}[/tex]
Related Questions
what is the evaluation for 4-4y+y-3
Answers
Answer:
1-3 y
Step-by-step explanation:
Subtract the numbers 4 AND 3 WHICH WOULD EQUAL REWRITING THE ADDITON SO IT CHANGES THE MINUS SIGN TO A PLUS.
help help help help help help
Answers
Answer:
it is D :)
Step-by-step explanation:
Aloma is 6 years older than Mecole. If the sum of their ages is 48, how old is Mecole? *
Answers
f(x) = x3 If x = −2, y =
Answers
Answer:
-8
Step-by-step explanation:
x=-1, y=-1
x=0, y=0
Graph D (fourth option)
What is the 5th term of the geometric sequence
9. 27. 81.243, ...?
Answers
Answer:
729
Step-by-step explanation:
You are multiplying 3 each time. The first 4 terms are given to you:
Term 1: 9
Term 2: 9 x 3 = 27
Term 3: 27 x 3 = 81
Term 4: 81 x 3 = 243
Term 5: 243 x 3 = 729
729 is the 5th term of the geometric sequence.
Answer:
729
Step-by-step explanation:
Each terms are multiplied by 3.
So the 5th term is 243*3 = 729.
What is the total mass of 9 dog bones?
Answers
Answer:
whats the mass of 1 dog bone
have a good day :)
Step-by-step explanation:
what’s the solution to the linear equation?
2/3x-1/2=1/3+5/6x
a. x=-5
b. x=-1/6
c.1/6
d.x=5
Answers
Can y’all help me on question 24?!
Answers
24. 523.78
25. 6.3
How do you undo addition
How do you undo subtraction
How do you undo multiplication
How do you undo division?
Answers
Answer:
To undo addition, you need to subtractto Undo subtraction, you need to addto undo multiplication, you need to divideto undo division, you need to multiplyBasically perform the opposite operation in order to undo a given operation
Step-by-step explanation:
NEED HELP CLICK TO SEE LINKS WILL GET REPORTED
Answers
-9
-42
-100
4
-40
find the arithmetic mean and geometric mean of the set of numbers
{3, 7}
Arithmetic mean ________
Geometric mean ________
A. 21/2
B. 5
C. 21
D. 10
Answers
Answer: See explanation
Step-by-step explanation:
The arithmetic mean will be gotten by adding the numbers together and dividing them by 2. This will be:
= (3 + 7)/2
= 10/2
= 5
Geometric mean will be:
= ✓3 × 7
= ✓21
= 4.59
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Calculator
10
Find the arc length of the semicircle.
Either enter an exact answer in terms of TT or use 3.14 for and enter your answer as a decimal.
units
Answers
coordinate plane with line g that passes through the points negative 3 comma 6 and 0 comma 5 What is the equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2)?
Answers
An equation of the line in slope-intercept form that is perpendicular to line g and passes through the point (1, −2) is y = 3x - 5.
How to determine an equation of this line?Mathematically, the standard form of the equation of a straight line (slope-intercept form) is given by this mathematical expression;
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the information provided, we have the following points on line g:
Point = (-3, 6)
Point = (0, 5)
Next, we would determine the slope of line g as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (5 - 6)/(0 - (-3))
Slope, m = -1/3
In Mathematics, a condition that must be met for two lines to be perpendicular is given by:
m₁ × m₂ = -1
-1/3 × m₂ = -1
m₂ = 3
At point (1, -2), an equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-2) = 3(x - 1)
y + 2 = 3x - 3
y = 3x - 3 - 2
y = 3x - 5
Read more on slope here: brainly.com/question/3493733
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50 x 40 x 40 x 40000000000 x 3000000000 x 5000000000000000 x 10000202000
Answers
Answer:
4.800097e+50
Step-by-step explanation: multiply
Answer:
4.800097e+50
Step-by-step explanation:
please mark this answer as brainliest and leave a thanks
In 3 billion repetitions of an experiment, a random event occurred in 500 million cases.
The probability of the event is 1.
True or False
The probability of the event is 0.
True or False
What is the expected probability of this event?
What is the expected probability of the complement of the event?
Answers
Answer:
The probability of the event is 1. False
The probability of the event is 0. False
What is the expected probability of this event?
The probability of the event is (500 million successful events) / (3 billion total repetitions) = 0.1667 or 16.67%.
What is the expected probability of the complement of the event?
The complement of the event is the event not happening. The probability of the event not happening is (3 billion total repetitions - 500 million successful events) / (3 billion total repetitions) = 0.8333 or 83.33%.
Uday Tahlan
Can y’all help me on question 11?!
Answers
Answer:
B and D
Step-by-step explanation:
B.
5 x 9 + 7 = 52
45 + 7 = 52
52 = 52
D.
6 x 9 + 4 = 58
54 + 4 = 58
58 = 58
pls help 10 ptsss
NO LINKS
Answers
Answer:
o to http://
Step-by-step explanation:
Which triangle is similar to the one shown below?
3 cm
5 cm
4 cm
Answers
Answer:
C
Explanation:
they are in the ratio 1:2
The solution is Option C.
The triangle PRQ with sides 6 cm , 8 cm and 10 cm is similar to the triangle ABC with sides 3 cm , 4 cm and 5 cm and the ratio is 1 : 2
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Now , the measure of side AB = 3 cm
The measure of side BC = 4 cm
The measure of side AC = 5 cm
Now , let the second triangle be represented as ΔPQR
where , the measure of side PQ = 6 cm
The measure of QR = 8 cm
The measure of PR = 10 cm
The ratio of sides of the triangle is 1 : 2
So , the triangles ΔABC and ΔPQR are similar and the corresponding sides are also in the ratio
Hence , the similar triangle is with the sides 6 cm , 8 cm and 10 cm
To learn more about similar triangles click :
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Fill in the blank with a number to make the expression a perfect square.
[tex]x {}^{2} + 12x + |?| [/tex]
Answers
Explanation: To find the last number you would need to divide 12 by 2. Than square the answer you get. It will get you 36.
The diagonals of a quadrilateral ABCD intersects each other at the point O such that AO/BO=CO/DO.Prove that ABCD is a trapezium.
Answers
Answer:
Step-by-step explanation:
To prove that a quadrilateral ABCD is a trapezium when the diagonals intersect at a point O such that AO/BO=CO/DO, we can use the fact that opposite sides of a trapezium are parallel.
First, let's draw a diagram to represent the given information:
[asy]
pair A, B, C, D, O;
A = (0,0);
B = (2,0);
C = (3,2);
D = (1,2);
O = intersection point(A-C, B--D);
draw(A--B--C--D--cycle);
draw(A-C);
draw(B--D);
label("A", A, W);
label("B", B, E);
label("C", C, E);
label("D", D, W);
label("O", O, N);
label("$\theta_1$", (B+O)/2, NE);
label("$\theta_2$", (O+D)/2, NE);
label("$\theta_3$", (O+C)/2, NW);
label("$\theta_4$", (A+O)/2, NW);
[/asy]
Since the diagonals intersect at point O, the angles formed by the diagonals at O are supplementary (that is, they add up to 180 degrees). In other words, we have:
θ1 + θ2 = 180 degrees
θ3 + θ4 = 180 degrees
Since AO/BO=CO/DO, the triangles AOB and COD are similar. This means that the ratios of their sides are equal. We can write this as:
AO/BO = CO/DO
We can also write this as:
AO/DO = CO/BO
Then, since the angles formed by the diagonals at O are supplementary, we have:
θ1 + θ2 = 180 degrees
θ1 + θ4 = 180 degrees
Subtracting these two equations gives us:
θ2 - θ4 = 0
Since the angles are equal, they are also opposite angles of the quadrilateral ABCD. Therefore, the opposite sides of AB and CD are parallel, which means that ABCD is a trapezium.
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The ratio of hot dogs to hamburgers on a barbeque table is 5:4. If there are 36 hamburgers on the table then how many hot dogs must be there?
Answers
Step-by-step explanation:
let the ratio be x
then, 5x, 4x is the ratio of hotdog and hamburger
According to question,
5x+3x=36
8x=36
x=36÷8
x=4
therefore, no, of hotdogs are= 5x
=5×4
=20
Calculate a margin of error with sample size 1025 and a standard deviation of 1.5.
Answers
Answer:
385
Step-by-step explanation:
On the grid, draw graphs of y=x+2 and x+y=3
Answers
Answer:
The image shows the answer and below I will explain more about it.
Step-by-step explanation:
To draw a line all you need is two points on the graph, and people mainly use the coordinates of the y and x intercepts to draw it (when x=0 and when y=0)
so for these questions all we do is:
y=0+2 (we are putting x=0 into the equation)
y=2, x=0 so this is the first of our set of coords:
0=x+2
x=-2 y=0 (we are putting y=0 into the equation)
so all you do is plot these in and draw a line which passes between both,
now just repeat for the other one :)
5 Bill hits a hockey puck on a frozen pond.
He records the distance the puck travels
over time. Use any method to explain
whether the distance the puck travels per
second is constant.
Answers
Answer: To determine whether the distance the puck travels per second is constant, we can use the concept of average speed. Average speed is defined as the total distance traveled divided by the time it takes to travel that distance.
If the average speed is constant, then the distance the puck travels per second is also constant. If the average speed is not constant, then the distance the puck travels per second will vary.
To determine the average speed, we need to know the total distance traveled and the time it took to travel that distance. Once we have this information, we can calculate the average speed by dividing the total distance traveled by the time it took to travel that distance. If the resulting value is constant, then the distance the puck travels per second is also constant.
Step-by-step explanation:
Please help, whoever gives the best explanation will be marked Brainliest
Answers
Answer:
2by8 of marians garden
Step-by-step explanation:
The first year Eleanor organized a fund-raising event,
she invited 30 people. For each of the next 5 years,
she invited double the number of people she had
invited the previous year. If f(n) is the number of
people invited to the fund-raiser n years after
Eleanor began organizing the event, which of the
following statements best describes the function f?
Answers
Explanation
Which statement best explains the relationship between
lines FG and HJ?
O They are perpendicular because their slopes are
equal,
O They are perpendicular because their slopes are
negative reciprocals,
O They are not perpendicular because their slopes are
equal,
• They are not perpendicular because their slopes are
not negative reciprocals.
Answers
Answer:
You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.
Step-by-step explanation:
They are perpendicular because their slopes are equal - Doesn't make sense, they would be parallel not perpendicular
They are perpendicular because their slopes are negative reciprocals - Makes sense
They are not perpendicular because their slopes are equal - Makes sense but it does not explain their relationship as well as the statement above
They are not perpendicular because their slopes are not negative reciprocals - Makes sense since that's how perpendicular lines work.
Conclusion, since we can't see the lines. You have to see for yourself on the picture we cannot see. But from these statements alone it's either the second or the fourth option.
If you add a picture I can narrow it down.
Which equation has two solutions? A. W=-1. B. W=1. C. W=-2. D. W=0
Answers
Answer: An equation has two solutions when it has two distinct values that can be assigned to the variable to make the equation true.
In this case
equation A. W=-1 is a single solution
equation B. W=1 is a single solution
equation C. W=-2 is a single solution
equation D. W=0 is a single solution
So none of the given equations have two solutions. they all have only one solution.
It's worth mentioning that, if the equation is a quadratic equation (in the form of ax² + bx + c = 0) and it has a non-zero discriminant (b² - 4ac) then the equation will have two distinct real solutions.
In this case the equations are not in that form, and also doesn't show any signs of having two solutions.
Step-by-step explanation:
Which power has a base of 2 and an
exponent of 6?
A 28
B 62
C 126
Answers
Answer:
A
Step-by-step explanation:
the base is the the big number, the exponent the small one
Find the missing measure. Round to the nearest tenth (first decimal place)
15
26°
x
Answers
The missing measure of the given right-angled triangle is: x = 2.5
How to find the measure?Given a right-angled triangle, with one of its angle as 14° ,assume
angle y= 14°. Also given length of one of it's side is 18. Let's assume the side as z = 18.
As it is given it's a right-angled triangle,
∴ By using trigonometric formula,
tan y = opposite /adjacent
∴ tan 14° = z/x
tan 14° = 18/x
7.24 = 18/x ......( as tan 14°= 7.24)
∴ x = 2.48
∴ x ≈ 2.5
To know more about trigonometry, check out:
brainly.com/question/13729598
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