The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surface of the moon varies from 357 km to 710 km. x squared divided by 357 plus y squared divided by 710 equals 1 x squared divided by 1669 squared plus y squared divided by 1316 squared equals 1 x squared divided by 1316 squared plus y squared divided by 1669 squared equals 1 x squared divided by 710 plus y squared divided by 357 equals 1
Answers
Answer:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Step-by-step explanation:
An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.
The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:
[tex]\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b[/tex]
Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:
b = 357 km + 959 km = 1316 km
a = 710 km + 959 km = 1669 km
Therefore the equation of the ellipse is:
[tex]\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1[/tex]
Related Questions
what is 23^a x 23^b= Pls I need the answer
Answers
Answer:
23^(a+b)
Step-by-step explanation:
23^a x 23^b =23^(a+b)
ZA and B are supplementary angles.
If ZA measures 45°, then what is the measure of ZB?
1. 35
2. 45°
3. 135
4. 145
Answers
Answer: 3. 135°
Step-by-step explanation: supplementary angles are angles that add up to 180° thus 180-45=135
Hope this helped!
what is the distance of between (-5,8) and (12,8)
plz help
Answers
Answer:
17
Step-by-step explanation:
-5 is 17 points away from 12.
Find the volume of a cylinder with a radius of 6cm and height of 8cm
Answers
Answer: 904.779
Step-by-step explanation:
v = pi x radius^2 x height
Answer:
904.78 cm^3
Step-by-step explanation:
The formula for volume of a cylinder is V = π r^2 h, and when you plug in your measurements you get the equation V = π × 6^2 × 8, which equals 904.78 cm^3
Nine students are running for the school council. The student with the most votes will become class president while the student with the second-highest
votes becomes vice president, and the student with the third-highest number of votes becomes secretary How many different ways could this happen?
Answers
Answer:
I believe this could happen 27 different ways.
Step-by-step explanation:
3.2468 rounded to the nearest tenth.
please help me
Answers
Answer:
3.2
Step-by-step explanation:
Find the number in the tenth place
2
and look one place to the right for the rounding digit
4
. Round up if this number is greater than or equal to
5
and round down if it is less than
5
.
3) You flip a coin six times and then roll a six-sided die. Find the number of possible outcomes
Answers
Answer:
First coin Second coin outcome
H T HT
T H TH
T T TT
Step-by-step explanation:
First coin Second coin outcome
H T HT
T H TH
T T TT
30 POINTS, NO LINKS, AND ANSWER RIGHT.
-15 = 8z + 7. what is the value of z
Answers
Rationalize the denominator and simplify
Answers
Distribute 6 ( 0.4x + 5)
Answers
Answer:
2.4x+30
Step-by-step explanation:
(6*0.4x)+(6*5)
2.4x+30
What is the area of a circle that has the diameter of 4?
Answers
Answer:
Hello! answer: 12.56
Step-by-step explanation:
Area for circles is found be doing
radius × radius × pi since we arent given radius we have to figure it out. But what we do know it diameter is just 2 times the radius so to undo that to find our radius we just do 4 ÷ 2 and 4 ÷ 2 = 2 so 2 is our radius now we will square it which is just fancy for multiply is by itself so 2 × 2 = 4
4 × 3.14 = 12.56 So 12.56 is our area! Hope this helps you!
Please help me this is for a test. Thank you so much whoever answers this.
Answers
Answer: Pretty sure the answer is 3.
Step-by-step explanation:
[tex]\frac{2(4+7)-7}{5}[/tex]
[tex]\frac{2(11)-7}{5}[/tex]
[tex]\frac{22-7}{5}[/tex]
[tex]\frac{15}{5}[/tex]
A box holds 30 tins How many boxes can be filled
with 810 tins
Answers
Does a triangle with these side lengths exist?
28, 41, 13
Answers
Answer:
No
Step-by-step explanation:
it doesnt add up to 180 degrees
Use the triangle inequality theorem.
Add two sides together and see if it is greater than the length of the 3rd side:
28 + 41 = 69 which is greater than 13
41 + 13 = 54 which is greater than 28
28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41
Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.
What is 15/7 an mixed number
Answers
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
The question is in le picture below U-U
Answers
Answer:
30%
Also I LOVE THE EMMA PIC!!!!!!!!
Kate is 5 feet 2 inches tall.
Alice is 1.57 metres tall.
Alice says that she is taller than Kate.
Use the conversions below to decide if Alice is correct.
12 inches = 1 foot
1 inch = 2.5 centimetres
if someone could help me with this it would be really helpful
Answers
Answer:
Alice is wrong kate is taller than Alice
Step-by-step explanation:
because Alice is 5'1 and Kate is 5'2
what percent of the population has an IQ score between 115 and 130?
Answers
Answer:
68% of the individuals in the population have an IQ between 85 and 115. 95% of the population has IQ scores between 70 and 130. 99.7% of the population has IQ scores between 55 and 145.
Step-by-step explanation:
three times four and four fifths
Answers
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
A teacher wrote this experssion on the board (-6)(2)+(-8÷4) what is the vaule of this expression
Answers
Answer:
-14
Step-by-step explanation:
(-12)+(-2)
You solve using Pemdas, doing the (-8/4) first, and then doing (-6)(2)
The answer is the two values added together.
please help me with this question:(
Answers
So you use Law of Cosines to calculate the unknown side. (b)
Answer: 3.88
Which expression has a value greater than 43 ?
PLEASEEE HELP!
Answers
Answer:
7^2
Step-by-step explanation:
7*7=49
4^3=43
49>43
9 mi
12 mi
What is the length of the hypotenuse?
miles
Answers
WILL MAKE BRAINLIEST!!
find the slope of each line
Answers
Answer:
17) [tex]- \frac{3}{2}[/tex]
18) [tex]\frac{5}{4}[/tex]
19) [tex]-\frac{1}{2}[/tex]
20) [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Slope intercept form: y = mx + b
y = (x , y)
x = (x , y)
slope = m
b = y-intercept
~
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
17) -4y + 16 = 6x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, subtract 16 from both sides of the equation:
-4y + 16 (-16) = 6x (-16)
-4y = 6x- 16
Next, divide -4 from both sides of the equation:
(-4y)/-4 = (6x - 16)/-4
y = (6x)/-4 + (-16)/-4
y = -3x/2 + 4
Slope: [tex]-\frac{3}{2}[/tex]
~
18) 0 = -12y -36 + 15x
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 12y to both sides of the equation:
0 (+12y) = - 12y (+12y) + 15x - 36
12y = 15x - 36
Next, divide 12 from both sides of the equation to isolate the variable, y:
(12y)/12 = (15x - 36)/12
y = (5/4)x - 3
Slope: [tex]\frac{5}{4}[/tex]
~
19) 3x = -6y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -6 from both sides of the equation:
(3x)/-6 = (-6y)/-6
y = 3x/-6
y = -(3/6)x
Simplify. Divide common factors from both the numerator and denominator.
-(3/6)/(3/3) = - 1/2
Slope: [tex]-\frac{1}{2}[/tex]
~
20) -2x -5 = -5y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
Divide -5 from both sides of the equation:
(-2x - 5)/-5 = (-5y)/-5
y = (-2x - 5)/-5
y = (2/5)x + 1
Slope: [tex]\frac{2}{5}[/tex]
Ms. Parker determined that the mean test score in her first-period class
was 81 with a standard deviation of 7.06. The mean test score in her
second-period class was 88 with a standard deviation of 8.24. Which
conclusion can be made about her students' test scores?
A Period 2 had scores that were less spread out around the mean than
Period 1.
B. Period 1 had scores that were less spread out around the mean than
Period 2.
C. Period 2 had scores that were less spread out around the median than
Period 1.
D
Period 1 had scores that were less spread out around the median than
Period 2.
Answers
Answer:
B. Period 1 had scores that were less spread out around the mean than
Period 2
Step-by-step explanation:
Because the standard deviation of Period 2's scores is greater than that of Period 1's, the test scores for Period 2 are going to be more spread out than Period 1's test scores. B is the most logical choice in this case.
14. A cone has twice the base diameter and
three-fourths the height of a cylinder. Can
you tell what the relationship between the
volume of the cone and the volume of the
cylinder is? Explain your reasoning.
Answers
Answer:
1+1 is cannot be
Step-by-step explanation:
jajauajhwhahwwhhahwhauwu
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
Answers
explanation: the average for 300 flips on a 6 numbered cube is 50
Help ASAP I’ll mark branliest
Answers
Answer:
C - 129
Step-by-step explanation:
180-51=129
Jerry has $90 in his savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much interest will he earn in 3 years
Answers
Answer:
27 cents
Step-by-step explanation:
10% of 90= 9
9x3=27
Answer:
p x t x r / 100
90 x 10 x 3 / 100
=27
Use English Alphabet, how many 6-character case-sensitive passwords are possible?
Answers
Answer:
Step-by-step explanation:
like for your actual name spell is backwords and add the last 4 letters of the alphabet which W X Y Z
I hope that helped :)