Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
Please answer 1 and 2
Answer:
Colleen pays 8 cents morePaulo read 2 more nonfiction booksStep-by-step explanation:
Q2
Colleen pays 7% tax:
$20*0.07 = $1.4Brad pays 6% tax:
$22*0.06 = $1.32The difference is:
$1.4 - $1.32 = $0.08Colleen pays 8 cents more
Q3
Paulo read nonfiction books:
35% of 40 books = 40*0.35 = 14 booksPaulo read 14 - 12 = 2 more nonfiction books
what is the area of 17.3 feet , 13.4 feet and 10.7 feet
Answer:
2480.475
Step-by-step explanation:
just do the length times width times the height
i really don’t understand this and i need help so if you can pls help
Answer:
1537500
Step-by-step explanation:
it should be that. all you do is multiply 615000 by 2.5
solve 3-²
I need work shown
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{Equation: }\bold{3^{-2}}[/tex]
[tex]\large\text{Lets convert }\bold{3^{-2}}\large\text{ into }\bold{3^2}\large\text{ temporarily...}[/tex]
[tex]\large\text{Equation:} \bold{\dfrac{1}{3^2}}\\\\\bold{= \dfrac{1}{3\times3}}\\\\\bold{3\times3\rightarrow9\leftarrow\ solving\ for\ your\ DENOMINATOR\ (bottom\ number)}\\\\\bold{= \dfrac{1}{9}}\\\\\boxed{\boxed{\large\text{Answer: }\bold{\dfrac{1}{9}}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pitágoras filósofo matemático griego biblio entre los años 500 8496 antes de Cristo A qué edad murió y cuántos años hace que murió
Answer:
if you can transfer to englis i may be able to help
Step-by-step explanation:
If you don’t know the answer pls don’t reply but if you do please tell me thank you.
Answer:
the answer will be B or C hope that helps
Step-by-step explanation:
the answer will be B or C hope that helps
Answer:
A) 12
Step-by-step explanation:
3/2=x/8
cross multiply
2x=24
x=12
A rectangular plant holder is 8 inches long 7 1/2 inches wide and 5 inches high. How much potting soil can the planter hold
Answer:
[tex]300[/tex]
Step-by-step explanation:
[tex]8 \times 7 \frac{1}{2} \times 5 \times = 300[/tex]
The rectangular plant can hold the volume of potting soil is 300 cubic inches.
What is a cuboid?A cuboid is a three-dimensional shape in which all sides are rectangles. A cuboid has 6 faces, 8 vertices, and 12 edges. All the angles formed at the vertices of a cuboid are right angles. The opposite edges are parallel to each other.
For the given situation,
The rectangular plant holder is in the shape cuboid.
Length of the rectangular plant,l = 8 inches
Width of the rectangular plant,w = 7 1/2 = 15/2 inches
Height of the rectangular plant,h = 5 inches
The formula of volume of cuboid is
[tex]V=lwh[/tex]
⇒ [tex]V= (8)(\frac{15}{2} )(5)[/tex]
⇒ [tex]V=300[/tex]
Hence we can conclude that the rectangular plant can hold the volume of potting soil is 300 cubic inches.
Learn more about cuboid here
https://brainly.com/question/46030
#SPJ2
Enter a number.
The measure of angle 7 is ___°
Answer:
151 ig
Step-by-step explanation:
vertical angles are equall
Answer:
151
Step-by-step explanation:
what is perimeter of the figure 115.14cm
Answer:
115.14 x 4 = 460.56 cm
Step-by-step explanation:
Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)
Answer:
volume = 254.34 cubic inches
Step-by-step explanation:
r = diameter /2 = 6/2 = 3 in
h = 3 × r = 3 × 3 = 9
volume = pi× r^2 × h
3.14 × 3 × 3 × 9254.34 cubic inches..Do these ratios form a proportion? 34¢ for every 44 units 17¢ for every 22 units
HELPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!
Answer:
Length = 6 inches
The expression is equivalent to . What is the value of n?
Answer:
?
Step-by-step explanation:
Guided Practice
Find the range of the function rule y=5x−2 for the domain.
{−1/2, 1/4, 2/5}
A.
{−1/2, 3 1/4, 4}
B.
{3/10, 9/20, 12/25}
C.
{− 4 1/2, −3/4, 0}
Answer:
C.
{− 4 1/2, −3/4, 0}
Step-by-step explanation:
domain
-1/2;1/4; 2/5
range
-5 1/2; (5/4-2);0
{-1/2, 1/4, 2/5}
take the derivative of the equation 4 times. f 4 (x)=0.
C
Step-by-step explanation:
if you put in the values (-1/2, 1/4, 2/5) in the function, it gives the answers in option C
=
Solve for x.
18+x=y
x = 0
?
Answer:
The answer is 18
Step-by-step explanation:
18 + x really means 18 + 0, because x is equal to 0
and if 18 + x = y, it means 18 + 0 = y,
so y is equal to 18
hope this helped!
Emily is buying a board game that is on sale. The regular price of the board game is $24.50,
but the store is offering a $9 discount. Emily wants to know the sale price of the board game.
Answer:
the sale price of the game is $15.50
Step-by-step explanation:
$24.50-$9=$15.50
Answer:
sale price is 15.50
Step-by-step explanation:
I did the I-ready alreadyPlease help!! Help.
Step-by-step explanation:
1. Cosine
2. Relationship is Cos = adj/hyp
3. x is 14
4. The hypotenuse of the triangle is 14cm long
Which expression is equivalent to x-3x-(-5x)?
A. -9x B. -7x C. 2x D. 3x
HELP!!!! SHOW YOUR WORK WILL GIVE BRAINLIEST
Answer:
D
Step-by-step explanation:
x-3x-(-5x)=-2x+5x=3x
Answer:
D
Step-by-step explanation:
[tex]x-3x-(-5x)[/tex]
it will be easier to solve the equation in sections:
[tex]x-3x[/tex]
[tex]-2x[/tex]
now deal with the other part
[tex]-(-5x)[/tex]
a negative multiplied by a negative equals a positive so:
[tex]+5x[/tex]
now putting the parts together:
[tex]-2x+5x[/tex]
[tex]3x[/tex], therefore the answer is d: [tex]3x[/tex]
Which equation best represents the line? (4 points)
A -foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a angle with a short vertical support.
Complete question :
A 25-foot-long footbridge has two diagonal supports that meet in the center of the bridge. Each support makes a 65∘ angle with a short vertical support.
What is the length x of a diagonal support, to the nearest tenth of a foot?
Answer:
13.80 feets
Step-by-step explanation:
Taking either of the triangles formed and attached to the picture, the length of diagonal, x can be obtained using Pythagoras rule :
To obtain x :
Sinθ = opposite / hypotenus
Opposite = 12.5 feets ; hypotenus = x ; θ = 65°
Sin 65 = 12.5 / x
0.9063077 * x = 12.5
x = 12.5 / 0.9063077
x = 13.792225
x = 13.80 feets
Which set of measurements could be the side lengths of a right triangle?
A. {3 in., 5 in., 7 in.}
B. {6 in., 9 in., 12 in.}
C. {8 in., 15 in., 17 in.}
D. {10 in., 20 in., 30 in.}
Answer:
D
Step-by-step explanation:
you simply add the 2 smaller sides, and if their sum equals the bigger side, its correct!
Megan used a 30% off coupon to purchase a sweater. If she saved $14.40, what was the original price of the sweater?
Answer: 18.72
Step-by-step explanation:
14.40*1.3
Answer: 48$ was the original price of the sweater.
Step-by-step explanation:To find this answer, I divided the coupon discount by the discounted price (14.4) and got 48.00, to double check, I then multiplied the number by the discount number and got 14.4
solve x best aw gets brain
you would equal them both to each other to find the answer of x=32
Answer:
x=32
Step-by-step explanation:
The explanation is in the picture. Whenever you want to check your answer plug that number in.
yao ming is 7 feet 6 inches tall.
how many inches tall is yao ming
A.6
B.76
C.84
D.90
Answer:
90
Step-by-step explanation:
There are 12 inches in a foot.
So you will take the 7 feet and multiply it by 12
This gives you 84 inches
You then take the 6 inches over the 7 feet and add to the 84 inches
Thus you get 90 inches.
Answer: First off, tall guy. Second, the answer is 90, or D.
Step-by-step explanation:
there are 12 inches in a foot. Take the 12 and multiply it by 7. then add the 6 remaining inches to the 84.
Simplify 1 -3(4x - 8)
Answer:
25 - 12x
Step-by-step explanation:
1 - 3(4x - 8)
1 - 12x + 24
25 - 12x
Insta: 25k_kemAnswer:
[tex]1 - 3(4x - 8) \\ = 1 - 12x + 24 \\ = - 12x + 25 \\ - 12x = - 25 \\ x = \frac{25}{12} \\ = 2.08[/tex]
please help, needed to graduate!!
Answer:
its b
Step-by-step explanation:
i just did that question last period
a plywood plank measures 1cm x 8cm x 90cm and it weighs 396g what is the volume
yo does addiction "run in the family"? i really want to know because it does in mine and im kinda freakin out
Answer:
Indeed yes homie.
Step-by-step explanation:
Karen runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
Answer:
the answer would be 66 minutes
Answer:
66 minutes was correct for me
Step-by-step explanation:
math
Expressions that simlify to the same expression are called
Answer:
Eqivelent expressions
Step-by-step explanation:
also dis