Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1.

Answers

Answer 1
To do this the equation must be put into standard form first.
Find The Center, Vertices, And Foci Of The Ellipse With Equation X Squared Divided By 81 Plus Y Squared

Related Questions

Question 8(Multiple Choice Worth 1 points)
(06.05 MC)
A paper cup is dropped and its landing position is recorded. The cup can land on the side, on the open end, or on the closed end. The results of 20 trials are shown in the table below:
Paper Cup Experiment
# of times occurred
Open
HT III
Closed
Side
HT III
Based on the table, which of the following best compares the experimental probability of the cup landing on its open end with the experimental probability of the cup landing on its closed end?
The probabilities are equal.
The probability of landing on the open end is greater.
The probability of landing on the closed end is greater.
O No conclusion can be made.

Answers

Table Given in the question :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

Answer:

The probability of landing on the open end is greater.

Step-by-step explanation:

Given the experimental probability distribution :

Open = HT 111 = 8

Side = 1111 = 4

Side = HT 111 = 8

The experimental probability is the ratio of the number of times an event occurs and the total number of trials.

P(A) = number of times A occurs / total number of trials

Where A is defined event.

COMPARING the probabilities of open and closed events

P(open) = 8 / 20 = 2 / 5

P(closed) = 4 / 20 = 1/5

2/5 > 1/5

P(open) > P(closed)

2+2=4 yea yea that’s fine

Of a group of boys and girls at Central Middle School’s after-school party, 15 girls left early to play in a volleyball game. The ratio of boys to girls then remaining was 2 to 1. Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1. How many students attended the party?

Answers

Answer:

  90

Step-by-step explanation:

Let g and b represent the number of girls and boys attending, respectively.

After 15 girls left, the ratio of boys to girls was ...

  b/(g -15) = 2/1

  b = 2g -30 . . . . . multiply by (g-15)

__

After 45 boys left, the ratio of girls to boys was ...

  (g -15)/(b -45) = 5/1

  g -15 = 5b -225 . . . . . . multiply by (b-45)

  g = 5b -210

Using the latter to substitute into the former, we have ...

  b = 2(5b -210) -30

  450 = 9b . . . . . add 450-b

  50 = b . . . . . . 50 boys attended

  g = 5(50) -210 = 40 . . . . . 40 girls attended

The number of students who attended the party was 50 +40 = 90.

_____

Check

After 15 girls left, the ratio of boys to girls was 50/25 = 2/1.

After 45 boys left, the ratio of girls to boys was 25/5 = 5/1.

Answer:

let b = original number of boys

let g = original number of girls

:

Of a group of boys and girls at Central Middle School's after-school party, 15 girls left early to play in a volleyball game.

The ratio of boys to girls then remaining was 2 to 1.

b%2F%28%28g-15%29%29 = 2%2F1

Cross multiply

b = 2(g-15)

b = 2g - 30

:

Later, 45 boys left for a football game. The ratio of girls to boys was then 5 to 1.

%28%28g-15%29%29%2F%28%28b-45%29%29 = 5%2F1

cross multiply

g - 15 = 5(b-45)

 

g - 15 = 5b - 225

g = 5b - 225 + 15

g = 5b - 210

Replace b with (2g-30)

g = 5(2g-30) - 210

g = 10g - 150 - 210

g = 10g - 360

360 = 10g - g

360 = 9g

g = 360/9

g = 40 girls originally

find b

b = 2(40) - 30

b = 50 boys originally

" How many students attended the party?"

40 + 50 = 90 students

Graph the function. h ( x ) = 8 ⋅ ( 3 4 ) x h(x)=8⋅( 4 3 ​ )

Answers

answer....

Step-by-step explanation:

h

(

x

)

=

3

x

+

8

Bro wtfdtm oof nvm I’m being a dum ad

Find the term that must be added to the equation x2+4x=1 to make it into a perfect square

Answers

Answer:

add 4 to each side

Step-by-step explanation:

x^2+4x=1

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x +4=1+4

(x+2) ^2 = 5

xbdhehhddhddh dheheh

Sheila cuts 60 foot wire cable in equal stripes of [tex]\frac{4}{5}[/tex] of a feet each. how many strips does she make?

a) 48 b) 51 c)60 d) 70 e) 75

Answers

Answer:

e) 75

Step-by-step explanation:

Given the following :

Total length of cable = 60 foot

Length of each stripe = (4/5) of a feet

Number of stripes = ( total cable length / length of each stripe)

Number of stripes = ( 60 / (4/5))

Number of stripes = 60 ÷ 4/5

Number of stripes = (60 * (5/4)

= (60 * 5) / 4

= 300 / 4

= 75

Number of stripes made = 75

The answer should be E. 75

find the Area and perimeter. Write your answer in terms of pie.

Answers

Area of a quarter of circle

A = 1/4 * π * R²

A = 1/4 * π * 12²

A = 36 * π cm²

Perimeter of a quarter of circle

P = 1/4 * 2 * π * R²

P = 1/4 * 2 * π * 12²

P = 72 * π cm

Area of a right triangle

A = b * h / 2

A = 12 * 12 / 2

A = 72 cm²

Length of hypotenuse

L = 12√2 cm

Area of blue

A = 36 * π - 72

A = 36 * ( π -  2) cm²

Perimeter of blue

P =  12 * (6 * π + √2 ) cm

Hope it helps

xxx

Do the semi circle first and the formula for that would be x=pi•D
Then do the triangle and add those answers together

What is the area of the polygon shown below? (in the image). A. 322 mm^2 B. 364 mm^2 C. 520 mm^2 D. 584 mm^2 Show all work please!

Answers

Answer:

A. 322 mm^2

Step-by-step explanation:

First split the shape into two (a rectangle and a triangle).

Then calculate the area of those shapes.

Rectangle: 20 x 14 =  280 mm^2

Triangle: 6 x 14 / 2 = 42 mm^2

Add them together.

280 + 42 = 322 mm^2

Just multiply or use PEMDAS

Sally is swimming in a race that has 5 laps. Swimming 2 lengths of the pool
counts as one lap. If Sally is halfway through the fourth lap, what fractional
part of the total laps in the race is left for Sally to finish?

Answers

Answer:

3/10

Step-by-step explanation:

Sally has to run 5 laps(2000m)

One lap = 400m  

So we multiply 3.5( 3 1/2) [this the the distance Sally ran] by 400

The answer we get is 1400( this the total distance in meters she ran)

Next we subtract 1400( total distance she ran in meters) from 2000(total distance in meters she needs to complete.

The answer we get is 600 meters( this is the distance she is left with)

As a fraction is 600/2000

THE ANSWER REDUCED TO ITS LOWEST TERM IS 3/10.

Answer:

3/10

Step-by-step explanation:

Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14 9 2 ​ km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride. What was the cost per kilometer? \$Emanuel was charged \$32$32dollar sign, 32 for a 14\dfrac29 \text{ km}14

9

2

​ km14, start fraction, 2, divided by, 9, end fraction, space, k, m taxi ride.

What was the cost per kilometer?

Answers

Answer:

$2.25/km

Step-by-step explanation:

The cost charged for a total taxi ride of [tex]14\frac{2}{9}\ km[/tex] was $32. To get the cost per km, we divide the cost charged for the total taxi ride by the total distance that was traveled by the taxi. The cost per km is given by:

Cost per km = [tex]\frac{Cost \ of\ money\ charged}{Total\ distance}=\frac{\$ 32}{14\frac{2}{9} \ km}=\frac{32}{\frac{128}{9} }= \$2.25/km[/tex]

Therefore the cost per kilometer is $2.25 per kilometer. Each kilometer traveled by the taxi cost $2.25.

The answer is $2.25 km

Round the number 53.18474629
a) To the nearest tenth
b) To the nearest thousandth
c) To the nearest whole number

Answers

Answer:

Step-by-step explanation:

To the nearest tenth:  53.2

To the nearest thousandth:  53.185

To the nearest whole number:  53

The answer should be 53.2 53.185 and 53

arner Home
Classwork for Alge.
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Reade
18
The curved parts of the figure are arcs centered at points A and C. What is the approximate length of boundary ABCD? Use the value = 3
and round the answer to one decimal place.
5
С
30°
А
120°
5

Answers

Answer:

The correct answer is

C. 23.1

Step-by-step explanation:

i think this is correct

The answer is 23.1 formal

HELP QUICK!
A parabola, (y + 2)2 = 8(x - 3), is changed to (y + 10)2 = 8(x - 3). How will this affect the graph of the parabola?
A)
The vertex will shift up.
B)
The vertex will shift down.
C)
The vertex will shift to the left.
D)
The vertex will shift to the right.

Answers

Answer:

B) The vertex will shift down.

Step-by-step explanation:

In the equation of a parabola, (y - k)² = 4p(x - h), (h, k) is the vertex.

The original parabola's vertex was (3, -2).

In the new parabola, the y-coordinate changed to -10, making the new vertex (3, -10).

So, the parabola's vertex shifted down 8 units from -2 to -10.

The answer is To this question is B

what is 3 2/7 x 2 4/5 (Answer with a mixed number in simplest form) Thankyou!!

Answers

Answer:

9 1/5

Step-by-step explanation:

3 2/7 * 2 4/5

Change to improper fractions

( 7*3+2)/7  * ( 5*2+4)/5

23/7 * 14/5

Rewriting

14/7 * 23/5

2 * 23/5

46/5

Changing back to a mixed number

5 goes into 45 9 times with 1 left over

9 1/5

The product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form as per the concept of simplifying fractions.

To multiply the mixed numbers 3 2/7 and 2 4/5, we need to convert them to improper fractions and then perform the multiplication.

First, convert 3 2/7 to an improper fraction:

3 2/7

= (3 x 7 + 2) / 7

= 23/7

Next, convert 2 4/5 to an improper fraction:

2 4/5

= (2 x 5 + 4) / 5

= 14/5

Now, multiply the two improper fractions:

(23/7) x (14/5) = (23 x 14) / (7 x 5)

                      = 322/35

To simplify the resulting fraction, we find the greatest common divisor (GCD) of the numerator (322) and the denominator (35), which is 7. Divide both the numerator and the denominator by the GCD:

322/35

= (322/7) / (35/7)

= 46/5

Now, express the improper fraction as a mixed number:

46/5 = 9 1/5

Therefore, the product of 3 2/7 and 2 4/5 is 9 1/5 in simplest form.

To learn more about the fractions;

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Name four fractions between 5/11 and 5/6

Answers

5/10, 5/9, 5/8, 5/7.

These are all between 5/11 and 5/6.

Answer:

6/11,  20/33,  2/3,  25/33  (answers vary)

Step-by-step explanation:

First, we need to convert both of these fractions to the same denominator. To do that, we need to find the least common denominator for both fractions.

6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

11: 11, 22, 33, 44, 55, 66, 77

The LCM of 6 and 11 is 66. (6 * 11 = 66)

Now, we multiply 5/6 by 11/11 and 5/11 by 6/6.

[tex]\frac{5}{6} *\frac{11}{11}=\frac{55}{66}\\\\\\\frac{5}{11} *\frac{6}{6} =\frac{30}{66}[/tex]

Now, we can just choose four numbers between 30 and 55 and get our answer (remember to simplify!).

[tex]\frac{36}{66} =\frac{6}{11}[/tex]

[tex]\frac{40}{66}=\frac{20}{33}[/tex]

[tex]\frac{44}{66} =\frac{2}{3}[/tex]

[tex]\frac{50}{66} =\frac{25}{33}[/tex]

For triangle DEF, angle D = 42 degrees, line e = 30 meters and line d = 25 meters. Determine the number of possible triangles that can be constructed. Show work.

Answers

Answer:

  2 triangles

Step-by-step explanation:

The given angle is opposite the shorter of the given sides, so the number of triangles is 2. (30/25·sin(42°) ≈ 0.8 < 1)

_____

Additional comment

For the case where the shorter given side is opposite the given angle, there is the possibility that the triangle could be a right triangle (1 solution) or that there may be no solutions. You can tell the difference by computing ...

  (long side)/(short side) × sin(given angle)

If this result is exactly 1, the triangle is a right triangle. If it is greater than 1, the triangle cannot exist (no solutions). Since the sines of most angles are irrational, it is unlikely you will see this result be exactly 1 (except for a 30°-60°-90° right triangle).

These observations are a consequence of the Law of Sines, which tells you ...

  sin(A) = (a/b)sin(B)

For real angles, sin(A) ≤ 1.

2 triangles hope this helps

8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he
subtracted 20 from this product. Next, he took three-fourths of this difference and got y.
Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.
What was his final answer?
A. -56
B. -51
C. 16
D. 21
E. Not enough information

Answers

Answer:

y=¾(4x-20)

y=3x-15

Final answer= y - 3(x+12)

=y - 3x-36

=3x-15-3x-36

= -51

Answer:

The answer is -51

Step-by-step explanation:

You weigh six packages and find the weights to be 34, 24, 74, 29, 69, and 64 ounces. If you include a package that weighs 154 ounces, which will increase more, the median or the mean? A. The median and the mean will stay the same. B. The median and mean are affected the same amount. C. The mean increases more. D. The median increases more.

Answers

Answer:

C. the mean increases more

Step-by-step explanation:

the mean is more affected by outliers because it is an average of all the numbers.

Answer:

C. the mean increases more

Step-by-step explanation:

Find the value of r. A. 24 B. 12 C. 2 D. 3

Answers

Answer:

[tex]\boxed{r=3}[/tex]

Step-by-step explanation:

We can use SAS ≅ SAS congruence to validate that the triangles are similar (both share the same side, have another congruent side, and have a congruent angle).

Because the sides are congruent, set them equal to each other and solve for r.

18 - 2r = 4r

18 = 6r

3 = r ⇒ [tex]\boxed{\bold r = 3}[/tex]

Therefore, the answer is D.

Answer:

r = 3

Step-by-step explanation:

Here Triangle ALR is divided precisely in half by the vertical side LU.  The two triangles thus formed are therefore congruent.

Thus, 18 - 2r = 4r, and 6r = 18.  Then r = 3.

18 silly bands are equally shared by 6 children. 2 children put their silly bands in the same drawer. How many silly bands are in the drawer?

Answers

Answer:

6

Step-by-step explanation:

18 silly bands / 6 children = 3 silly bands per child.

2 children * 3 bands each = 6 bands total

Answer:

6 silly bands

Step-by-step explanation:

18 divided by 6 = 3  , so each child gets 3 so 3 + 3 is 6 which means 6 silly bands are in the drawer

What are the coordinates of the vertices of the polygon in the graph that are in Quadrant II? A) (4,–2) B) (4,3), (0,5), (0,1) C) (–5,2), (–3,2), (–3,4) D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

Answers

Answer:

C) (–5,2), (–3,2), (–3,4)

Step-by-step explanation:

A) (4,–2)

B) (4,3), (0,5), (0,1)

C) (–5,2), (–3,2), (–3,4)

D) (–1,0), (–5,2), (–3,2), (–3,4), (0,5), (0,1)

For quadrant two the points are always (-x,y) and x is always negative.

Image shows quadrant places.

C. ) (-5,3), (-3, 2), (-3, 4)

What is the determinant of H = 2 4 9
3 3 1
4 5 3

Answers

Answer:5,3,7

2,4,9

3,6,4

Step-by-step explanation:he determinant of a 2 x 2 matrix A,

EVALUATING A 2 X 2 DETERMINANT,

DETERMINANT OF A 3 X 3 MATRIXFINDING THE DETERMINANT OF' A MATRIX,

FINDING THE COFACTOR OF AN ELEMENT,                                          ,EVALUATING A 3 X 3 DETERMINAN,

EVALUATING A 4 X 4 DETERMINANT

voila

Answer: The answer is 15. You can use the calculator in Edge2020

Step-by-step explanation:

Edg2020

What is the equation that is perpendicular to the line y=2x-3 and passes through the point (-6,5)? Show all of your work.

Answers

Answer: y=(-1/2)x+5.5

Step-by-step explanation:

y=2x+3

This equation is in the slope-intercept form y=mx+b

m is the slope.

b is the y-intercept, the value of y when x=0.

m=2

The slope of the perpendicular line is -1/2.

(y-y1)=m(x-x1)

(y-4)=(-1/2)(x-3)

y-4=(-1/2)x+1.5

add 4 to both sides

4+y-4=(-1/2)x+1.5+4

y=(-1/2)x+5.5

Answer:

y = -1/2x + 2

Step-by-step explanation:

The slope of a perpendicular line will be the opposite reciprocal (opposite sign, and reciprocal)

The line's slope is 2, so the perpendicular line's slope will be -1/2.

Now, we know part of the equation: y = -1/2x + b

Plug in the point given:

5 = -1/2(-6) + b

5 = 3 + b

2 = b

Now, we can plug in b into the equation:

y = -1/2x + 2

Match each number with its place in order from smallest (1st) to largest (6th). 1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48 HELP ASAP IM GETTING GRADED ON THIS

Answers

Answer:

1st     -842nd     -803rd      -564th       485th       59 6th        90

Step-by-step explanation:

To match each number with its place in order from smallest (1st) to largest (6th).

1. 6th -56 2. 4th 90 3. 3rd -84 4. 1st 59 5. 2nd -80 6. 5th 48

First we write all numbers:  -56, 90, -84, 59, -80, 48

In Ascending order ( from smallest to largest): -84, -80,-56, 48, 59, 90

Here, the required arrangement:

1st     -842nd     -803rd      -564th       485th       59 6th        90

1. 1st: -84
2. 2nd: -80
3. 3rd : -56
4. 4th : 48
5. 5th : 59
6. 6th : 90

can somewon help me i am bad at math

Answers

Answer:

480 in3

Step-by-step explanation:

10 * 8 * 5 + ( 4 * 4 * 5 ) = 480in3

Answer:

480 in^3

Step-by-step explanation:

The first, smaller container where I split it has an equation of V= 4*4*6=80 in^3 and the second, larger container has an equation of V= 5*10*8= 400 in^3

80+400= 480 in^3

The number of radians in a 720-degree angle can be
written as an, where a is a constant. What is the
value of a ?

Answers

Answer:

a=4

Step-by-step explanation:

When going from degrees to radians, 180 degrees is always going to equal π radians

That means 2π would be 360 degrees, and 4π would be 720

And since we're trying to find a in aπ when it's a 720 degree angle, we can conclude that a=4

Answer:

4

Step-by-step explanation:

We know that:

π rad= 180°

Then:

720° = 4*180° = 4π radian

The value of a:

4π = aπ ⇒ a= 4

A building casts a 33-m shadow when the sun is at an angle of 27° the vertical. How tall is the building to the
nearest meter? How far is it from the top of the building to the tip of the shadow?

Answers

Answer:

1. EF = 65m

2. DF = 73m

Step-by-step explanation:

1. EF = height of the building = h = 33 / tan 27 = 65m

2. DF = sqrt (65² + 33²) = 73m

The building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.

From the triangle DEF, we find the value of EF by using tan function.

tan function is a ratio of opposite side and adjacent side.

tan(27)= 33/FE

0.5095 = 33/FE

Apply cross multiplication:

FE=33/0.5095

FE=64.76

Now DF is the hypotenuse, we find it by using pythagoras theorem.

DF²=DE²+EF²

DF²=33²+64.76²

DF²=1089+4193.85

DF²=5282.85

Take square root on both sides:

DF=72.68

In a triangle the the sum of three angles is 180 degrees.

∠D + 27 +90 =180

∠D + 117 =180

Subtract 117 from both sides:

∠D =63 degrees.

Hence, the building is 64.76 meters long and 73 meters far from the top of the building to the tip of the shadow.

To learn more on trigonometry click:

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A percent is the numerator of a ratio whose denominator is A. 25 B. 50 C. 75 D. 100

Answers

I am sure the answer is D

Answer:

D 100

Step-by-step explanation:

60% = 60/100

70% =70/100

Enrique has to pay 80% of a $200 phone bill. Explain how to use equivalent ratios to find 80% of $200. please help

Answers

Answer:

Heres a simple way:

Step-by-step explanation:

80% in to dec. 0.8

0.8 x 200 = 160

So,

80% of $200 is

$160

So 10% of 200 is 20
And so 80% is 20• 8
That’ll give you the answer of 160$!

Graph the line 2x + 3y = 12

Answers

Answer:

your answer y=4 x=6

Step-by-step explanation:

Y=4 X=6 I’m pretty sure that’s right

15 POINT!!!!!!!!!!!!!!!!!!!! Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k. Graph of two lines. f of x passes through 2, 0 and 3, 2, and g of x passes through two thirds, 0 and 1, 2. 3 one third negative one third −3

Answers

Answer:

k=(-1,5)=-5

Step-by-step explanation:

Answer:

ok i got the same question and i think it is and dont qoute me boy i aint said it but i think its B sorry if im wrong

Step-by-step explanation:

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