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? y = a · πx y = a + (πx) y = a – πx y = a ÷ (πx)

Answer:

C

Step-by-step explanation:

Evaluate.

Exact Form:

1 /64

Decimal Form:

0.015625

Answer:

  maybe

Step-by-step explanation:

Dora is apparently assuming the dimensions are integers. In that case she is correct.

If the dimensions are unconstrained, the perimeter will be largest when a pair of opposite sides will be the smallest measure allowed.

For some perimeter P and side length x, the area is ...

  A = x(P/2 -x)

Conversely, the perimeter for a given area is ...

  P = 2(A/x +x)

This gets very large when x gets very small, so Dora is correct in saying that the side lengths that are as small as they can be will result in the largest perimeter. We have no way of telling if her assumption of integer side lengths is appropriate. If it is not, her statement makes no sense.

Hello!

[tex]\boxed{ \bf 1.~l~=~9.25~cm;~A~=~55.5~cm^2~matches~with~the~last~option~w~=~6~cm.}[/tex]

[tex]\boxed{ \bf 2.~l~=~7.5~cm;~A~=~48.75~cm^2~matches~with~the~second~option~w~=~6.5~cm.}[/tex]

[tex]\boxed{ \bf 3.~l~=~5~cm;~A~=~44~cm^2~matches~with~the~third~option~w~=~8.8~cm.}[/tex]

[tex]\boxed{ \bf 4.~l~=~5~cm;~A~=~31.25~cm^2~matches~with~the~first~option~w~=~6.25~cm.}[/tex]

We already know that the formula for area of a rectangle is A = l × w.

Notice how the width and the length are being multiplied to find the area.

Well, to find the width, we must do the opposite of multiplication, which is division.

Since we already have the length, all we have to do is divide the area by the length for each of the questions.

1:

A = l × w

55.5 = 9.25 × w

[tex]\frac{55.5}{9.25}[/tex] = 6

2:

A = l × w

48.75 = 7.5 × w

[tex]\frac{48.75}{7.5}[/tex] = 6.5

3:

A = l × w

44 = 5 × w

[tex]\frac{44}{5}[/tex] = 8.8

4:

A = l × w

31.25 = 5 × w

[tex]\frac{31.25}{5}[/tex] = 6.25

Answer:

72

Step-by-step explanation:

Answer:

Option (2).

Step-by-step explanation:

In the figure attached,

Given : TV ≅ WV and UV ≅ XV

To prove: ΔTUV ≅ ΔWXV

                Statements                  Reasons

1). TV ≅ WV                              1). Given

2). UV ≅ XV                             2). Given

3). ∠XVW ≅ ∠TVU                  3). Reflexive property

4). ΔTUV ≅ ΔWXV                  4). SAS (Side - angle - side) property of                                                             congruence

Therefore, Option (2) will be the answer.

Answer:

2

Step-by-step explanation:

The scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.

Scale factor is the factor which is used to enlarge or smaller the original figure. Scale factor is the ratio of representation measurement of the figure to the original figures.

Triangle A^ prime B^ prime C^ prime is the image of triangle ABC under a dilation.

The height of the triangle ABC is 5 units (blocks) and the height of the dilated triangle A'B'C' is 10 units. Thus, the scale factor is,

[tex]k=\dfrac{10}{5}\\k=2[/tex]

Hence, the scale factor of the dilation of triangle ABC into the triangle A^ prime B^ prime C^ prime is 2.

Learn more about the scale factor here;

https://brainly.com/question/10253650

Answer:

Approximately 87 minutes

Step-by-step explanation:

So first see how much of the reading 41 minutes is. It is 47%.

So now to find out how much 100% is, first find out how much 1% is.

Just divide by 47.

1% = [tex]\frac{41}{47}[/tex]

And then multiply by 100 to get 100%

[tex]\frac{4100}{47}[/tex]

That is 87.2340425532

Which is 87

Answer:

the answer is 8.45

Step-by-step explanation:

845/100 *1

poop h34huehu 3uddej ewdujdwqijdwejj

Answer:

4

Step-by-step explanation:

Answer:

55 YRS

Step-by-step explanation:

T=INTEREST X 100%/PRINCIPAL X RATE

T=4400X100%=440000%/4000 X 2%

T=440000%/8000%

T=55 YRS

Answer:

Step-by-step explanation:

2x^2 = 37

x^2=37/2

x^2=18.5

[tex]\sqrt{x^{2} }[/tex]=[tex]\sqrt{18.5}[/tex]

x=4.301

Answer:

[tex]2x(x+3)[/tex]

Step-by-step explanation:

[tex]2x^{2} +6x[/tex]

[tex]2x(x+3)[/tex]

Answer:

the anwser to your question would be 2x (x+3)

Answer:

5  5/8

Step-by-step explanation:

6 3/8 - 6/8

The denominators are the same, so we borrow from the 6

Borrw 1 in the form 8/8

6 + 8/8 +3/8 - 6/8

5 11/8 - 6/8

5  5/8

Answer:

Similar-AA

Step-by-step explanation:

If you know 2 angles of the triangle you automatically know the third. If all the corresponding angles of two triangles are the same, they are similar.

(p.s. This sign ~ means similar)

Solution,

= 3x^2+5x-6-x^2+3x+9

= 3x^2-x^2+5x+3x-6+9

=2x^2+8x+3

2. x^2-10x-24

= x^2-(12-2)x-24

= x^2-12x+2x-24

= x(x-12)+2(x-12)

=(x-12)(X+2)

3. 3x^2-9x

take the common,

= 3x(x-3)

Answer:

y = -3

Step-by-step explanation:

So, first you need to plug in -4y-4 for x. So, 5(-4y-4) + 2y=34. Now, use the distributive property and now it will become -20y -20 + 2y = 34. Add like terms which would be -20y + 2y = -18y. Now the equation is -18y - 20 = 34. Now use inverse operations and add 20 to both sides. Then the equation will be -18y = 54. When you divide -18 on both sides, you get y=-3.

Hope this helps :)

Answer:

According to triangle theorems, we know that the interior angles of a triangle equals 180 degrees. Since we know that angle A and angle B are 55 and 30 degrees, all we need to do is add them up and subtract it from 180 degrees to find out the measure of angle C.

55 + 30 = 85 degrees

180 degrees - 85 degrees = 95 degrees (this is the measure for angle C)

The m∠C in the triangle is 95° as the other two angles are 55° and 30°

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know the sum of all the interior angles in a triangle is 180°.

Given, In a triangle, m∠A is 55° and m∠B 30°.

Therefore m∠C = 180° - 55° - 30°.

m∠C = 95°.

learn more about triangles here :

https://brainly.com/question/2773823

#SPJ2

Answer:

TSU is the correct for answer

Another way to name ∠UST is ∠TSU.

Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.

Angles are usually measured in degrees or radians.

The angle mentioned in the figure is at the point S.

This angle is the smaller angle formed at the point S.

An angle can be represented in two ways, from left to right or from right to left.

Suppose, an angle is ∠ABC.

We can represent this as ∠CBA.

So, the angle represented is ∠TSU.

Hence the angle is ∠TSU.

Learn more about Angles here :

https://brainly.com/question/28598272

#SPJ7

Answer:

6.5

Step-by-step explanation:

In this question, we are tasked with calculating the mean temperature for the first 8 days.

since we we have the mean temperature for the first 7 days, the total temperature is thus 7 * 6 = 42

Now, on the 8th day, temperature is 10, this brings total temperature to 42 + 10 = 52

The mean temperature for the first 8 days ys therefore; 52/8 = 6.5

If the best player makes 70% of all free throws, then this player would be expected to make 70% of the next 60 free throws, which is 42. (The equation that goes with this is [tex]\frac{70}{100}=\frac{x}{60}.[/tex])

Similarly, the second-best player would make 65% of 60 throws, which is 39, and the third-best player would make 55% of 60 throws, which is 33.

Answer:

i think its 42.5

Answer:

42.5

________________________________________________________

Answer:

question 1) Add 7/4 to both sides. question 2) Divide 4 by both sides. question 3) x=15

Step-by-step explanation:

Answer:

RR' || SS'

Step-by-step explanation:

because if you look at the image you see that RR' is parallel to SS'

Answer:

C

Step-by-step explanation:

Please refer to the picture above.

Assuming a =

[tex] \sqrt[5]{x}^{2}y } [/tex]

You can visualise the solution easily.

Answer: ;otherwise, your eyes will become very irritated from the chlorine.

Step-by-step explanation: I took the test

Answer:

the answer above is right i jus took the test

Step-by-step explanation:

Answer:

The first offer: 100.80 for 4kg

Step-by-step explanation:

To find the best offer, we just need to find the price per kilogram, and we do this by dividing the price by the number of kg:

100.80 for 4kg: 100.8/4 = 25.2 per kg

170.50 for 5kg: 170.5/5 = 34.1 per kg

260.60 for 6kg: 260.6/6 = 43.43 per kg

320.40 for 7kg: 320.4/7 = 45.77 per kg

The first offer has the smaller price per kg, so it is the best offer.