The area, LaTeX: aa, of an ellipse can be determined using the formula LaTeX: a=\pi xya = π x y, where LaTeX: xx and LaTeX: yy are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for LaTeX: yy? Group of answer choices LaTeX: y=a-\pi x y = a − π x LaTeX: y=a\ast \pi x y = a ∗ π x LaTeX: y=a\div (\pi x) y = a ÷ ( π x ) LaTeX: y=a+(\pi x)




Answer LaTeX: y=a\div (\pi x)y = a ÷ ( π x )

Answers

Answer 1

Question:

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse. Which is an equivalent equation solved for y?

Answer:

[tex]y = \frac{a}{\pi x}[/tex]

Step-by-step explanation:

Given

[tex]a = \pi xy[/tex]

Required

Solve for y

The question implies that, we make y the subject of formula:

This is done as follows:

[tex]a = \pi xy[/tex]

Divide through by [tex]\pi x[/tex]

[tex]\frac{a}{\pi x} = \frac{\pi xy}{\pi x}[/tex]

Isolate y on the right hand side

[tex]\frac{a}{\pi x} = y[/tex]

Reorder

[tex]y = \frac{a}{\pi x}[/tex]

Hence, the solution to the question is: [tex]y = \frac{a}{\pi x}[/tex]


Related Questions

HELP HELP QUICK WHAT IS THIS
asa
aas
sas
not enough info?!

Answers

Answer:

Its either asa or sas but like i think is asa

Step-by-step explanation:

Answer:

the right answer is aas

Step-by-step explanation:

angle angle side because both angles are touching each other which is an easier way to tell.

Which rays are part of like BE

Answers

Answer:

What rays?

Step-by-step explanation:

Is it the new album of BtS?

who is the Father Of Math​

Answers

Answer:

Archimedes

Step-by-step explanation:

Answer:

Archimedes is known as Father of Mathematics

Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 10 miles at a speed of 5 mph, while Bob's motorboat traveled 24 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
A.
4 hours
B.
3 hours
C.
2 hours
D.
6 hours

Answers

Answer:

2 hours

Step-by-step explanation:

10/5=2hours

24/12=2hours

Hope this helps please give brainliest

Will someone help me with this problem plz

Answers

Answer:

Option D (y=0.5x)

Step-by-step explanation:

Y is half of X in each column of the graph

which two integers is square root 102 between? please help

Answers

Answer:

-50 and -52

Step-by-step explanation:

An even number can be generally expressed by 2n. So the sum of an even and its consecutive it's expressed by 2n+2n+2 this must be equal to -102. So we have to solve the nearly trivial equation 4n+2=−102 that solved gives n=−26. This means that the two numbers are

2⋅(−26)=−52 and 2⋅(−26)+2=−50

Right answer please

Answers

B.)
Because 4x^2 has no other like term.
Then x/2+x= 3/2x
Finally, -4+-3= -7
You just combine them together to form an equation:)

Someone please help! I asked earlier but they just stole the points...

(12-15) Q(x) = 2x^4 - 7x^3 + 6x^2 + x -2
1. Use synthetic division to determine whether (x-1) is a factor of Q(x).

2. Use synthetic division in to find Q(-2)

3. List all of the possible rational roots of Q(x) = 0

4. Find all of the real roots Q(x) =0

Answers

Answer:

1) [tex]Q(x)=2x^{4}-7x^{3}+6x^{2} +x-2\\\\=(x-1)^{2}(x-2)(2x+1)\\[/tex]

2) Q(-2) = (-2-1)².(-2-2).(2.-2+1)

= (-3)².(-4).(-3)

= 108

3) Q(x) = 0

=> (x-1)²(x-2)(2x+1) = 0

⇔ x - 1 = 0 or x - 2 = 0 or 2x +1 = 0

4) x-1 = 0 or x - 2 = 0 or 2x + 1 = 0

⇔ x = 1 or x = 2 or x = -1/2

Step-by-step explanation:


What is the discounted price of a $500 cell phone with a discount of
10% ?

Answers

My answer that I got was $500.00

Suppose s varies directly with t. When t27, s=3. What is s when t=632
Answer
567
G
7
H

Answers

Answer:

G 7

Step-by-step explanation:

If t= 27 when s=3  27/3=9

the t=63 when s= 7    63/7= 9

Answer:

G

Step-by-step explanation:

Given that s varies directly with t then the equation relating them is

s = kt ← k is the constant of variation

To find k use the condition when t = 27, s = 3 , then

3 = 27k ( divide both sides by 27 )

[tex]\frac{3}{27}[/tex] = k, that is

k = [tex]\frac{1}{9}[/tex]

s = [tex]\frac{1}{9}[/tex] t ← equation of variation

When t = 63, then

s = [tex]\frac{1}{9}[/tex] × 63 = 7 → G

in a bean bag toss game players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole. roopesh wants to know his total score after throwing 4 bean bags.

which expressions show the points roopesh earns if two beanbags land on the board? choose all that apply

2+5
2•2
2•5
2+2

Answers

Answer:2•2 and 2+2

Step-by-step explanation:

Because if you have 2 bean bags and 2 point for each bean bad it u have to multiply of add

The expression will be either (2+2) or (2*2).

What are expression?

An algebraic expression consists of unknown variables, numbers and arithmetic operators.

Given that, in a bean bag toss game, players earn 2 points for each beanbag that lands on the game board and 5 points for each bean bag that lands in the hole.

Roopesh's dropped the bag on land for two times, and points for bag landing is 2, therefore, his score will be 2*2 or 2+2

Hence, The expression will be either (2+2) or (2*2).

For more references on expression, click;

https://brainly.com/question/14083225

#SPJ2

Please help with this! I think it want you to calculate the answer for the entire angle! What it equals to!

Answers

Answer:

x=5

Step-by-step explanation:

i hope this helps :)

11. Jim travelled at a speed of 18km/h for 2 hours. What was the distance covered?​

Answers

Answer:

36 km/h

Step-by-step explanation:18 x 2 since every hour jim went another 18 km for two hours.

Karina is making accessories for the soccer team. She uses 541.37 inches of fabric on headbands for 40 players and 3 coaches. She also uses 387.20 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 22.27 inches.

Step-by-step explanation:

Given : Karina uses 541.37 inches of fabric on headbands for 40 players and 3 coaches.

i.e.  541.37 inches of fabric on headbands used for 43 persons .

Fabric used per person for headband = [tex]\dfrac{541.37}{43}=12.59\text{ inches}[/tex]

She also uses 387.20 inches of fabric on wristbands for only players.

Fabric used per person for wrist band =  [tex]\dfrac{387.20}{40}=9.68\text{ inches}[/tex]

Total fabric used for each player =  12.59+9.68  = 22.27 inches.

Hence, 22.27 inches. of fabric was used on a headband and wristband for each player.

Jade normally leaves work at 5:00 pm, but she is leaving work 10 minutes late today she decides to make up time by taking the toll road instead of side streets. She
can travel two times faster by taking the toll road. Create an equation in terms of x to represent the number of minutes after 5:00 pm she arrives home from work it
she leaves late. Let x represent the number of minutes her nomal commute takes when she leaves on time.
y-x-10
y=9x10
y = 2x + 10
y=1/2x+10

Answers

Answer:

y=1/2x+10

Step-by-step explanation:

not 100% for sure though


(7.8 x 103) (1.0 x 104) = ?

Answers

Answer:

Step-by-step explanation:

(7.8*103)(1.*104)=83553.6

803.4*104=83553.6

A one-gallon can of paint costs $9.92. A five-gallon can of paint costs $43.29. How much will someone save if they buy the five-gallon can rather than five one-gallon cans?

Answers

Answer:

You save $6.31.

Step-by-step explanation:

For this we need to find the unit price. To do that we take the cost/unit(in this case gallon

For the one gallon can we'll do 9.92/1 =9.92.

The unit price for the one gallon is $9.92 per gallon.

For the 5 gallon we'll do 43.29/5 = 8.66

The unit price for the five gallon is $8.66.

So we'll subtract 5•(9.92)-5•(8.66) =49.6-43.29= $6.31.

You save $6.31.

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

A car has 15 gallons of gas in its tank. The car travels 35 miles per gallon of gas. How far can the car travel on 15 gallons of gas? (Only type the number as your answer, no words. If there is a decimal, make sure you include it in your answer.

Answers

Answer:

525 miles

Step-by-step explanation:

35 x 15 = 525

Because the car has 15 gallons of gas, and for each gallon of gas it goes 35 miles. All you have to do is multiply.

Thanks!


You have the total amount of gas–15 gallons. You have the information in the problem to find the amount of gas consumed. The car can go 32 miles before consuming a full gallon of gas and it traveled 384 miles. So if you divide the 384 miles by 32 miles per gallon, you are left with the gallons consumed

How is the series 8 + 14 + 20+ ... + 296 represented in summation notation?​

Answers

Answer: 26

Step-by-step explanation:

Answer:

48

Σ (6d+8)

d=0

Step-by-step explanation:

chang is on his way home in his car. he has been driving 12 miles so far, which two-thirds of the way home. what is the total length of his drive?

Answers

18 miles bc:

12÷2= 6

6•3=18

The City Council plans to install new slides at the playgrounds in all of its parks. The new slides are 14 feet long and need to be mounted at least 6 feet up on the playground structure. How far will the end of the slides be from the base of the playground structure? Round your answer to the nearest tenth. *

Answers

It should be 12.65 feet away because, if the hypotenuse is 14 and the height is 6, you would multiply 14x14 which is 196 and subtract the height (36). That gives you 160, and the square root of 160 is 12.65

What is the solution to the inequality 75 greater-than StartFraction x over 15 EndFraction?
x 1,125
x 5

Answers

Answer:

A

Step-by-step explanation:

can i please get brainliest im trying to rank up

Answer:

A

Step-by-step explanation:

give the guy above me a brainly

and gibe me a lot of rate and like

I need help solving this equation
56 = 3w + 14

Answers

56 - 14 = 42

42/3 = 14

W = 14

Answer:

w = 14

Step-by-step explanation:

56 = 3w + 14

-14            -14

----------------------

42 = 3w

÷3       ÷3

----------------

14 = w

What is the y intercept of the line?

Answers

Answer:

It's 1

Step-by-step explanation:

Answer:

1

it passes the y axis at 1

PLEASE HELP WITH WHAT YOU CAN PLEASEEEEEEEE I WILL GIVE BRAINALIST TO FIRST PERSON and extra points please help

Answers

Answer:

15. y<1 16. y>or=-2 17. y>0 18. y<or=3 19. y<or=1200

Step-by-step explanation:

I’m only answering so the first person can have brainliest

What is ?

A.

B.

C.

D.

Answers

Answer:

A.Is Invisible

B.Is Iniviatable

C.Is Blank

D.Is Nothing

Step-by-step explanation:

Dont Thanks me if theres are nothing

Hailey, Priya, and Shetal are auditioning for the same role. Hailey auditions at 10 minutes before four, Priya auditions 30 minutes before Hailey, and Shetal auditions at 5 minutes before four. Order the three by who will audition first.
(pleaseeee show work)

Answers

Answer:

Priya, Hailey, Shetal

Step-by-step explanation:

We know Hailey auditioned 10 mins before 4, so thats 3:50

If Priya auditioned 30 mins before Hailey, that means she auditioned at 3:20

Shetal auditioned 5 mins before 4, so thats 3:55

So the order is Priya, Hailey, Shetal

please help asappppp

Answers

i think it’s C since the top row is going by 2 and there is no 8 but a 9

please help and explain

Answers

Answer:

x = 71

Step-by-step explanation:

Since the 2 legs are congruent ( both 21 ) then the triangle is isosceles.

Thus the base angles are congruent, then

x = [tex]\frac{180-38}{2}[/tex] = [tex]\frac{142}{2}[/tex] = 71

A kite is flying at a height of 60 m and is attached to a string inclined at 30° to the horizontal. What is the length of the string? (
The length of the string is 120 m.
The length of the string is about 70 m.
• The length of the string is 30 m.
The length of the string is about 104 m.

Answers

Answer: 120

Step-by-step explanation:

Because it is

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