An arch in the shape of the upper half of an ellipse is used to support a bridge that is to span a river 60 meters wide. The middle of the arch is 10 meters above the center of the river. Start by writing an equation for the ellipse if the x-axis coincides with the water level and the y-axis passes through the center of the arch. How high above the river is the arch at a distance of 8 meters from the center?
The arch is ____ meters above the river at a distance of 8 meters from the center. Do not round until the end. Round to the nearest tenth of a meter.
Answers
Answer:
Step-by-step explanation:
(y/10)^2+(x/30)^2=1
y^2/100+x^2/900=1
9y^2+x^2=900
9y^2=900-x^2
y^2=(900-x^2)/9, when x=8 we have
y^2=(900-8^2)/9
y^2=(900-64)/9
y^2=836/9
y=9.6 meters
The arch is 9.6 meters above the river at a distance of 8 meters from the center.
Related Questions
find the errors and correct the following mathematical sentences:
Answers
Answer:
You are supposed to correct the equation here not solve it.
The table shows values for the equations of a system:
What x-values are a solution to the system?
Select each correct answer
x=-3
x=-2
x=-1
x=0
x=1
x=2
x=3
Answers
According to the table, the solutions to the system of equations are x = 0 and x = 1.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the equations are:
[tex]y_1 = 0.25^x[/tex]
[tex]y_2 = -0.75x + 1[/tex]
The solutions are the values of x for which:
[tex]y_1 = y_2[/tex]
Looking at the table, the solutions to the system of equations are x = 0 and x = 1.
More can be learned about a system of equations at https://brainly.com/question/24342899
cuantas horas son de 7am a 7pm
Answers
Solve for x. 8x+10-5x=15.
Answers
Answer:
=
5
3
Step-by-step explanation:
8
+
1
0
−
5
=
1
5
3
+
1
0
=
1
5
Answer:
x = 5 / 3 = 1.667
Step-by-step explanation:
8*x+10-5*x-(15)=0
Solve : 3x-5 = 0
Add 5 to both sides of the equation :
3x = 5
Divide both sides of the equation by 3:
x = 5/3 = 1.667
x = 5/3 = 1.667
Custom drapes are being fitted for a large circular
window. It is difficult to get these measurements, but the
window has an 8 ft horizontal shelf with a 2 ft brace that
sits in the frame. If the brace is extended upward, it
would go through the center of the shelf and the circle.
What is the diameter of the window?
Diameter =
feet
Help please
Answers
have a good day :)
Which group contains triangles that are similar. im having a hard time
Answers
Answer:
1st group contains triangles that are similar
Step-by-step explanation:
since its opposite corresponding angle are equal.
Please any help i need it now please
i will mark you brill
Answers
Answer:
(x+2.25) ×24
This is how it is written
Answer:
Step-by-step explanation:
y = 24*(x + 2.25)
There, that's an algebraic expression for 24 times the sum of a number and 2.25.
Choose the circle with the greatest area
Answers
Answer:
#3
Step-by-step explanation:
HELP ME PLEASE
bsjsudhdhehe
Answers
40 of the cats at the pet store are black, which is 25% of all cats. How many cats are there at the pet store
Answers
Answer:
There are 160 cats at the store.
Step-by-step explanation:
There are 40 black cats, which is 25% of all the cats. You are trying to find all the cats at the store, or 100% of the cats at the store. So:
40 = 25%
40(4) = 25% (4)
160 = 100%
There are 160 cats at the store.
Answer:
160
Step-by-step explanation:
25%=1/4=0.25
=40×4
=160
What is the solution to the following system of equations?
3x + 2y = 30
y = x + 5
Answers
Answer:
D
Step-by-step explanation:
Answer:
I think this one is C
Step-by-step explanation:
It seems like its counting by 5's and the answer to the first equation
Please help me with this question
Answers
Answer:
$13.50
Step-by-step explanation:
Answer:
m = 13.50$
Step-by-step explanation:
26.50 + m = 40
m = 40 - 26.50
m = 13.50$
Which of the following ratios is not equivalent to the other two? * 1 1/2, 1:2, or 2 to 1
Answers
Answer:
1 1/2
Step-by-step explanation:
47.Explain sound needs a medium for propagation
Answers
Answer:
Sound needs a material medium for their propagation like solid, liquid or gas to travel because the molecules of solid, liquid and gases carry sound waves from one point to another. Sound cannot progress through the vacuum because the vacuum has no molecules which can vibrate and carry the sound waves.
Is the expression 6(1 + m) equal to 6 + 6m? Why or why not? How do you know?
Answers
Answer:
Yes, they are equal because of distributive property
Step-by-step explanation:
6(1 + m) = 6 + 6m
Four points A, B, C, and d are on a number line, in some order, so that AB=1, BC=2, CD=3, and DA=4. Which two points are farthest away from each other?
Answers
Answer: B or C sorry if its wrong
Step-by-step explanation: have a nice day
Can you help me please here is the image
Answers
Answer:
its c
i think
Step-by-step explanation:
I hope you get it right :)
Have a good day
HELP ME ILL GIVE BRAINLIEST
Which of the following factors can affect the strength of electric or magnetic fields? (YOU MAY SELECT MORE THAN ONE ANSWER)
Strength of the magnet/electric charge
The material that is creating the field
The mass of the object creating the field
The distance from the source of the field
Answers
Answer:
It's strength of the magnet/electric charge and the distance from the soucre of the field
Simplify: (8 2/3) ^ 4
Answers
Answer:
the answer is 558175
may it help you
pretty please help me!!! i’ll mark brainliest! i tried putting this at 13 points!
Answers
Answer:
m∠T = 54°
Step-by-step explanation:
The measure of a straight line is 180°. (Linear angles theorem)
So, m∠WMT + 117° = 180°
m∠WMT = 180 - 117 = 63°
The base angles in an isoceles triangle are equal in measure (base angle theorem)
So,
m∠MWT = m∠WMT
m∠MWT = 63°
The sum of angles in a triangle is 180°. (Sum of angles in a triangle theorem) So,
m∠MWT + m∠WTM + m∠WMT = 180°
Substitute the measures we already found.
63 + m∠WTM + 63 = 180
Simplify.
126 + m∠WTM = 180
m∠WTM = 54°
m∠T = 54°
I hope this helps! Feel free to ask any questions!
Answer:
54°
Step-by-step explanation:
First calculate Angle WMT as: 180° - 117° = 63°
And note that Angle WMT = Angle MWT = 63°
Therefore, Angle T = 180° - 63° - 63°
Angle T = 54°
How much would you need to deposit in an account now in order to have $2000 in the account in 15
years? Assume the account earns 2% interest compounded monthly.
Answers
4000 mcmcnxmamnxmxmnxnxns
2 -7
-9
5
Given A=
and B-
6
1
-1
If X-A=B, what is X?
-2
O
7
0
-11
12
-2
-5
-7 -12
5
0
11-12
Answers
Answer:
it is b furqufhrfhquh quf hqhf
Step-by-step explanation:bfygefy eyfeyfyewfyefwef eqf
\fn qf7f
The value of the matrix X is X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex].
What are Matrices?Matrices are a set of numbers arranged in such a way that the numbers are arranged in rows and columns.
Each number is called element in a matrix.
Given are two matrices.
A = [tex]\left[\begin{array}{ccc}2&-7\\6&1\\\end{array}\right][/tex] and B = [tex]\left[\begin{array}{ccc}-9&5\\1&-1\\\end{array}\right][/tex]
We have given that, a matrix X exists such that,
X - A = B
We can rearrange this as,
X = A + B
Adding the two matrices,
The entries will be,
2 - 9 = -7
-7 + 5 = -2
6 + 1 = 7
1 - 1 = 0
X = [tex]\left[\begin{array}{ccc}-7&-2\\7&0\\\end{array}\right][/tex]
Hence the X is option A.
Learn more about Matrices here :
https://brainly.com/question/30646566
#SPJ7
Solve the following inequalities and give the solutions in both set and interval notations.
-2x + 5 < -x + 25
Answers
4y + 3 > 23 subtract 3 from both sides
4y > 20 divide both sides by 4
y > 5
-2y > -2 divide both sides by -2 (the order changes)
y < 1
(-oo, 1) ∪ (5, oo)
Upvote
SO SORRY IF THESE IS WRONG:(( JUST SAY IT TO ME NOT TO BULLY ME
Hassan sells fruits and vegetables at the marketThe mass of fruit and vegetables are in the ratio.
Fruit: vegetables = 5:7
If Hassan sells 1.33 tones of vegetables
then how many kilograms of fruits did he sell?
Answers
Answer:
950 kilograms
Step-by-step explanation:
Fruit: vegetables = 5:7
Fruit = 5
Vegetable = 7
Total ratio = 5 + 7 = 12
If Hassan sells 1.33 tones of vegetables
1 tonne = 1000 kilograms
1.33 tonnes of vegetables = 1330 Kilograms of vegetables
how many kilograms of fruits did he sell?
Let kilograms of fruits sold = x
Fruit: vegetables = 5:7
Fruit: vegetables = x : 1330
5 : 7 = x : 1330
5/7 = x/1330
Cross product
5 * 1330 = 7 * x
6,650 = 7x
x = 6,650/7
x = 950 kilograms
kilograms of fruits sold = 950 kilograms
plsss help meee in math :(((
Answers
Answer:
a = 30
2a = 60
3a = 90
Step-by-step explanation:
3a + 2a + a = 180 ( Sum of angles of a triangle is 180)
6a = 180
a = 180/6
a = 30
2a = 2 x 30 =60
3a = 3 x 30 = 90
Simplify. Write the answer as a decimal.
Answers
Answer:
what are we simplifying
nine more than the quotient of 2 and a number of x
Answers
Answer: 9 + 2/x - x = -19
what is a correct name fo the angle shown. R S RTS SRT
Answers
Finley's pumpkin had a mass of 6.5 kilograms (kg) before he carved it. After carving it, the pumpkin had a mass of 3.9 kg
Answers
Answer:
[tex]\%Change = -40\%[/tex]
Step-by-step explanation:
Given
[tex]Initial = 6.5kg[/tex]
[tex]Final = 3.9kg[/tex]
Required
Determine the percentage change --- Missing from the question
This is calculated as
[tex]\%Change = \frac{Final - Initial}{Initial} * 100\%[/tex]
[tex]\%Change = \frac{3.9kg - 6.5kg}{6.5kg} * 100\%[/tex]
[tex]\%Change = \frac{-2.6kg}{6.5kg} * 100\%[/tex]
[tex]\%Change = \frac{-260}{6.5}\%[/tex]
[tex]\%Change = -40\%[/tex]
What is the volume of a sphere that has a radius that measures 3 feet?
Answers
Answer:
About V≈113.1ft³
Step-by-step explanation: