A circle is a special form of an ellipse, occurring when both focal points of an ellipse coincide at one point, making its eccentricity zero.
A special form of the ellipse is called a circle. This occurs when the two focal points of an ellipse coincide at a single point, which is also the center of the circle. In mathematical terms, an ellipse whose equation is scaled down in one direction, transforming it into x² + y² = a², represents a circle with center at the origin and radius a.
Kepler's first law regarding planetary orbits also refers to this special case of an ellipse. It states that planets follow an elliptical path with the Sun at one of its focal points. When both focal points are at the same location, indicative of zero eccentricity, the orbit is not elliptical but circular.
The properties of an ellipse are crucial in understanding celestial mechanics and orbits, reflecting the significance of this special case in both mathematics and astronomy.
Please answer this asap! Its midnight and I'm tired 40 points
Answer:
1:
A'(6,6) B'(5,2) C'(2,6)
2: They are congruent if they have the same shape and size, if not, then they are not congruent
3: Can't answer
Answer:
They are the same shape as ABC and LMN both measure 4 base and 4 side measurement each along with hypotenuse shared value of 5. Making these triangles isosceles.
We can see that LMN is the only triangle whos base that lies parallel with the y (inverse usual x line), this is proof that the transition was 270° in total and 222.5° flip from the ABC last transition.
Each transition was the following
1) As shown on diagram 90 flip
We found 67.75° with ABC, then 222.5°
Meaning 270° from start to finish.
There was a 22.5 transition in the first grid too, so if counting that we deduct that from 270° to equal 247.5° full rotation from first replacement coordinate drawn in question 1.
Step-by-step explanation:
whats the answer can u please solve it.
Answer:
daaang thats hard
wow :/Step-by-step explanation:
Answer:
C
Step-by-step explanation:
in the november section, 25% is cut.
hope this helps :)
20 PTS QUICK QUICK PLEASE! 1 MINUTE ONLY! WITH EXPLANATION PLEASE! ANSWER 3 QUESTION AND YOU WILL BE THE BRAINLIEST!
1) Which expression will help you find the area of the triangular bases?
3 × 12
8 × 3
1/2 × 8 × 3
8 × 12
2) Which expressions will help you find the areas of the rectangular faces? Select all that apply.
8 × 3
8 × 5
5 × 12
8 × 12
3) Find the surface area of this net.
_____a0 square centimeters
THE NET IS DOWN BELOW FOR ALL QUESTION IT IS THE SAME NET DRAWING GOOD LUCK!
1) We want to find the area of the triangular bases, which means both shown in the net. So, normally we would divide the area by 2 (from the formula), but since we are finding the area of two triangles, that isn't necessary.
A = 8 x 3
2) There are two different sized rectangles here. One that is repeated twice and the other that is on its own. We know that A and C are the same, and if we think about how this net is folded, we can determine that the width of A and C would be 5 cm. For both sized rectangles, the length is 12 cm. For rectangle B, we can see that its width is 8 cm.
A = (8 x 12) + (5 x 12)
3) Now that we have all of the expressions needed to find the surface area, what we need to do is evaluate each of them and add them together to find the total surface area.
Triangles = 8 x 3 = 24
Rectangles = (8 x 12) + (5 x 12) = 96 + 60 = 156
Surface area = 24 + 156 = 180 square centimeters
Hope this helps! :)
A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
A) 21
B) 33
C) 54
D)
21
2
Answer:
33
Step-by-step explanation:
Usatestprep
The length of AC is 33. The correct option is B) 33
The diagram that illustrates the question is shown in the attachment below:
From the question,
We are to determine the length of AC.
To determine the length of AC,
First, we will determine the value of x.
From Triangle proportionality theorem,
We have that
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Then, from the diagram, we can write that
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
Now, we will solve for x
[tex]\frac{x-3}{x-7}=\frac{x+12}{x}[/tex]
This becomes
[tex]x(x-3) = (x-7)(x+12)[/tex]
Clearing the brackets
[tex]x^{2} -3x = x^{2} +12x-7x-84[/tex]
Simplifying, we get
[tex]x^{2} -3x = x^{2} +5x-84[/tex]
Subtract x² from both sides
[tex]x^{2}-x^{2} -3x = x^{2}-x^{2} +5x-84[/tex]
[tex]-3x = 5x-84[/tex]
Then, subtract and 5x from both sides
[tex]-3x-5x = 5x-5x-84[/tex]
[tex]-8x = -84[/tex]
Now, divide both sides by -8
[tex]\frac{-8x}{-8}=\frac{-84}{-8}[/tex]
∴ [tex]x = 10.5[/tex]
From the diagram, we can observe that the length of AC is
AC = x +12 +x
Put the value of x into the above equation
That is,
AC = 10.5 + 12 + 10.5
∴ AC = 33
Hence, the length of AC is 33. The correct option is B) 33
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Express the height of the following rectangular prism in meters. (Note: 1 m = 100 cm)
7,500 m
750 m
7.5 m
0.75 m
Answer:
0.75m
You take the 75cm because that is the height and then you have to convert it to meters I used Google
does anyone know adjacent angles ?
which symbol makes 3 13/28 and 3 17/30 a true sentence
Answer:
Step-by-step explanation:
13/28 = 195/420
17/30 = 238/420
So that means that 3 17/30 > 3 13/28
A graph has quantity on the x-axis and price on the y-axis. Demand curve points are at (20, 70), (40, 40), (60, 10).A graph has quantity on the x-axis and price on the y-axis. A demand line goes through (20, 70), (40, 80), (60, 90). Based on the demand graph and the supply graph shown above, what is the price at the point of equilibrium? a. 100 b. 70 c. 40 d. There is not enough information given to determine the point of equilibrium.
Answer:
B) 70
Step-by-step explanation:
Answer:
I think it is 70
Step-by-step explanation:
What is the slope of 3x - 3y =5
The magnitude, M, of an earthquake is defined to be
, where / is the intensity of the earthquake (measured by the
amplitude of the seismograph wave) and S is the intensity of a "standard" earthquake, which is barely detectable. What is the
magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to
the nearest tenth.
-1.5
-0.5
1.5
3.6
Answer:
1.5
Step-by-step explanation:
The magnitude, M, of an earthquake is defined to be
M = log l/s
where I is the intensity of the earthquake and s is the intensity of a “standard” earthquake.
If an earthquake that is 35 times more intense than a standard earthquake, then l/s = 35. Replacing it in the equation:
M = log 35 = 1.5
Answer:
its c my dude 1.5
Step-by-step explanation:
A=1/2 h(b+c) solve for b
Answer:
b = [tex]\frac{2A-hc}{h}[/tex]
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] h(b + c)
Multiply both sides by 2 to clear the fraction
2A = h(b + c) ← distribute
2A = hb + hc ( subtract hc from both sides )
2A - hc = hb ( divide both sides by h )
[tex]\frac{2A-hc}{h}[/tex] = b
A freight elevator has a maximum weight limit of 3,200
pounds. The elevator is being loaded with crates that each
weigh 300 pounds. The forklift being used to move the
boxes weighs 175% as much as one crate. How many
crates can fit onto the freight elevator? Select all that
apply.
A. 6 crates
B. 8 crates
C. 10 crates
D. 12 crates
Answer:
A and B
Step-by-step explanation:
Firstly you must establish the weight of the forklift.
You can do this by multiplying 300 by 1.75
This is 525 pounds
Now subtract 525 from 3200
This gives you 2675
Now you must Divide 2675 by 300
Then round down to find out the total number of crates that can be loaded
This is 8
So the Answer is A and B
The maximum number of crates that can fit onto the elevator is 8, given the weight constraints. Here option B is correct.
Maximum weight limit of the elevator = 3,200 pounds.
Weight of each crate = 300 pounds.
Weight of the forklift = 175% of the weight of one crate = 1.75 * 300 = 525 pounds.
To find out how many crates can fit onto the elevator, we need to consider both the weight of the crates and the weight of the forklift.
Let's denote the number of crates as x. The total weight on the elevator can be represented by the equation:
300x + 525 ≤ 3200
Solving for x:
300x + 525 ≤ 3200
300x ≤ 2675
x ≤ 8.92
Since we can't have a fraction of a crate, the maximum number of crates that can fit onto the elevator is 8. Here option B is correct.
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With which values of the argument the function acquires a value equal to144
[tex]y = \frac{1}{9x {}^{2} } [/tex]
Answer:
[tex]x=\frac{1}{36} \, \,and\,\, x=-\frac{1}{36}[/tex]
Step-by-step explanation:
To find at which values of the argument the function renders 144, we need to solve for "x" in the equation when y is 144:
[tex]y=\frac{1}{9\,x^2}\\144=\frac{1}{9\,x^2}\\144\,x^2=\frac{1}{9} \\x^2=\frac{1}{9\,(144)} \\x^2=\frac{1}{1296} \\x=+/-\sqrt{\frac{1}{1296} } \\x=+/-\frac{1}{36}[/tex]
Therefore there are two solutions: one is 1/36 and the other one is its opposite; -1/36
Answer:
Step-by-step explanation:
hello :
solve : 1/9x² = 144
x² = 144×9
x² =(12×3)² means : x² =36²
so : x=36 or x= -36
Calculate the range of javelin throws from the World Cup:
Answer:
13.28
Step-by-step explanation:
range=the difference of biggest number and lowest number
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
buy guppy fish, and the pet store owner tells him to make sure their density in the tank isn't more than 5 fish per
cubic meter.
How many fish can Alvin get, at most?
Answer:
Step-by-step explanation: The answer is 2 fish
Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
To find out how many guppy fish Alvin can get for his water tank, we need to calculate the volume of the tank first. Given that the tank is prism-like with a base area of 0.9 square meters and a height of 0.6 meters, we can use the formula for the volume of a prism:
Volume = Base Area × Height
Substituting the given values:
Volume = 0.9 m² × 0.6 m
Volume = 0.54 cubic meters
Now, since the pet store owner advised Alvin not to exceed a density of 5 fish per cubic meter, we can calculate the maximum number of fish Alvin can get by multiplying the volume of the tank by the maximum density:
Max number of fish = Volume × Maximum density
Max number of fish = 0.54 m³ × 5 fish/m³
Max number of fish = 2.7 fish
However, since we can't have a fraction of a fish, Alvin can have at most 2 fish in his tank to ensure the density doesn't exceed 5 fish per cubic meter.
j+2 = 3k+5 in terms of k
Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
Mrs. Téllez has a roll of wrapping paper in her gift shop. She uses 1/4 yard to wrap each gift. If there are 20 yards of wrapping paper on the roll, how many gift of the same size can she wrap until the roll is empty ?
Final answer:
Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
Explanation:
To find out how many gifts of the same size Mrs. Téllez can wrap until the roll is empty, we need to divide the total length of wrapping paper by the amount used per gift. Mrs. Téllez uses 1/4 yard to wrap each gift, and there are 20 yards of wrapping paper on the roll. So, we need to divide 20 by 1/4 to get the number of gifts.
To divide a whole number by a fraction, we can multiply the whole number by the reciprocal of the fraction. The reciprocal of 1/4 is 4/1. So, we multiply 20 by 4/1:
20 x 4/1 = 80/1 = 80
Therefore, Mrs. Téllez can wrap 80 gifts of the same size until the roll is empty.
Which set of numbers cannot represent the lengths of the sides of a triangle?
A. 9, 12, 19
B. 7, 18, 11
C. 7, 5, 6
D. 6, 8, 11
Answer:
i think it's B, but I'm not sure
Dave says:
No quadrilateral has more than two lines of symmetry.
Is Dave correct?
Explain your answer.
Answer:
No, he is not correct because a square can be split in to 4 equally so thats two lines of symmetry
Also,you can split it diagonally both ways.
Step-by-step explanation:
sorry for bad drawing
No, Dave is wrong.
What is line of symmetry?
A line of symmetry is a line that cuts a shape exactly in half.
What is a quadrilateral?Any figure bounded by 4 sides is called a quadrilateral.
What is a square?Any 2-dimensional figure bounded by 4 sides in which all sides are equal and all the angles are 90° is called a square.
How to know whether Dave is correct or not?Dave said that no quadrilateral has more than two lines of symmetry.
Square is a quadrilateral ;which has 4 lines of symmetry.It will be clear from the image below.So, the statement of Dave is wrong.
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Lily sells bracelets. For each bracelet she sells she gets $4. She went to a craft show and sold 67 bracelets. How much money did she make?
Answer:
67x4=268
Step-by-step explanation:
268
Answer:
268
Step-by-step explanation:
67×4= 268
use a calculator to multiply
Do anyone know what goes in these blanks
Answer:
Blank 1 is Pythagorean Theorem, 2 is sides, 3 is right, 4 is legs, and 5 is the hypotenuse.
Step-by-step explanation:
Brenda has 18 fish in an aquarium. The fish are the following colors: 5 orange, 7 blue, 2 black, and 4 green. Brenda’s trouble-making cat has grabbed a fish.
What is the probability the cat did NOT grab an orange fish?
1/3
3/4
13/18
13/5
Answer:
It should be 13/18
Step-by-step explanation:
Subtract the number of orange fish from the total number of fish. The number you get will them be divided by the total number of fish.
18- total number of fish
5-total number of orange fish.
18 - 5 = 13
13 divided by 18
13/18
Which is the graph of the exponential function y = 0.5(0.5)^x?
Answer:
Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is
y
=
0
.
Horizontal Asymptote:
y
=
0
Step-by-step explanation:
the third pic
The answer is graph 3.
What is the exponential function?An exponential function is a mathematical function of the following form: f ( x ) = ax. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e, which is equal to approximately 2.71828.
What are the exponential function and examples?Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base, and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.
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Use the following set of data: 5, 7, 7, 6, 4, 8, 17, 5, 7, 5, 6, and 5. Find the interquartile range of the data. *
The answer is 2 because The interquartile range (IQR) is a number that indicates how spread out scores are and tells us what the range is in the middle of a set of scores.
For extra im going to tell you all the quartile ranges.
First Quartile-5
Third Quartile-7
Median-6
Interquartile-2
Answer:
2
Step-by-step explanation:
I SAID 2 I DID THIS QUIZ
Can someone help me with my homework
Answer:
12. 268
13. 417
14. 83
Step-by-step explanation:
start overline, A, C, end overline are diameters of circle
P
PP.
Given:
m∠APB = 19°
To find:
The arc measure of DBC.
Solution:
∠APB and ∠DPC are vertical angles.
By vertical angle theorem:
m∠APB = m∠DPC
m∠DPC = 19°
DB is the diameter of the circle.
Angle measure of diameter = 180°
m∠DPB = 180°
m∠DPC + m∠CPB = m∠DPB
19° + m∠CPB = 180°
Subtract 19° from both sides.
19° + m∠CPB - 19° = 180° - 19°
m∠CPB = 161°
The measure of central angle is equal to the measure of intercepted arc.
m∠CPB = m(ar CPB)
m(ar CPB) = 161°
The arc measure of DBC is 161°.
9. Anderson writes his name in English and Spanish language with
chalk, pencil, and pen. How many ways did he write his name?
Answer:
6.
Step-by-step explanation:
The number of ways = 2 languages * 3 implements
= 6
a rectangle container messuring 20cm by 14.5cm by 10.5cm is filled with filled with water to its brim. if 300cm are drained out of the container, what will be the hight of the water level?
Correction
If 300cm3 are drained out of the container,
Answer:
9.47 cm
Step-by-step explanation:
Volume of the container is given by, V= lwh where l is the length of the container, w is width and h is height.
When filled with water, taking l as 20cm, width as 14.5 cm and height as 10.5cm, the volume of container is
V=20*14.5*10.5=3045 cm3
When 300 cm3 is drained, the remaining volume is 3045-300=2745 cm3
Since the length and width is constant but height varries, the new height will be
20*14.5*H=2745
H=2745/290=9.4655172413793
Rounded off, H=9.47 cm
In a board game, the player who makes the last move receives a 12-point bonus for ending the game.
Let s represent the score before the endgame bonus and f represent the final score.
Find the value of f when s=10.
f=
When s=10, the value of f is 22.
If s represents the score before the endgame bonus and f represents the final score, and the player receives a 12-point bonus for ending the game, then the relationship between s and f can be expressed as:
[tex]f = s +12\\f = 10 +12\\f= 22[/tex]
X- 0,1,2,3 Y- 3,4,11,18. Which linear equatio represents the data given in the table? A) y = 3x + 7 B) y = 7x + 3 C) y = 3x - 7 D) y = 7x - 3
Answer:
Actually change the answer is y = 7x - 3. The other one is wrong I just finished and it gave me the correct answer.
Step-by-step explanation:
This is because she/he forgot to add negative 3 in the y section which made alot of yall think that everything was positive. It was originally -3 and if you need more explination dm me. New Table : X- 0 ,1 ,2 ,3 Y- -3 ,4 ,11 ,18