8. Find an equation in standard form for the ellipse with the vertical major axis of length 16 and minor axis of length 4

Answer:

The answer is x = -3.

Step-by-step explanation:

To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].

Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.

Answer:

see explanation

Step-by-step explanation:

∠ YXW = ∠ ZXV ( vertically opposite angles ) , so

4a + 15 = 2a + 65 ( subtract 2a from both sides )

2a + 15 = 65 ( subtract 15 from both sides )

2a = 50 ( divide both sides by 2 )

a = 25

Then

(7)

∠ ZXV = 2a + 65 = 2(25) + 65 = 50 + 65 = 115°

(8)

∠ YXW = ∠ ZXV = 115°

∠ ZXY and ∠ ZXV are adjacent angles and sum to 180° , that is

(9)

∠ ZXY = 180° - 115° = 65°

(10)

∠ VXW = ∠ ZXY = 65° ( vertically opposite angles

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

[tex]\displaystyle \text{SA}=2\pi r^2+ 2\pi rh[/tex]

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

[tex]\displasytyle \text{SA}=2(3.142)(1.75)^2+2(3.142)(1.75)(7) = 96.22375\text{ cm}^2[/tex]

Then the total surface area for 200 cylinders will be:

[tex]\displaystyle \text{SA}_{\text{total}}=200(96.22375)=19244.75\text{ cm}^2[/tex]

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

[tex]\displaystyle V=\pi r^2h[/tex]

Since r = 1.2 and h = 6.4:

[tex]\displaystyle V=(3.142)(1.2)^2(6.4)=28.956672\text{ m}^3[/tex]

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

[tex]\displaystyle V=(3.142)(0.082)^2(0.28)=0.005915506\text{ m}^3[/tex]

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

[tex]\displaystyle C=\frac{28.956672}{0.005915506}=4895.045466\approx 4895[/tex]

Thus, approximately 4895 containers can be filled.

Answer:

6) About 19,244.75 square centimeters.

7)  About 4895 containers.

Step-by-step explanation:

Question 6)

We need to paint 200 wooden closed cylinders of diameter 35 mm and height 7 cm. And we want to find the total surface area that needs to be painted.

First, since the diameter is 35 mm, this is equivalent to 3.5 cm.

The radius is half the diameter, so the radius of each cylinder is 1.75 cm.

Recall that the surface area of a cylinder is given by the formula:

Where r is the radius and h is the height.

Therefore, the surface area of a single cylinder will be:

Then the total surface area for 200 cylinders will be:

Question 7)

We know that the tank has a diameter of 2.4 m and a height of 6.4 m.

Since its diamter is 2.4 m, then its radius is 1.2 m.

Find the total volume of the tank. The volume for a cylinder is given by:

Since r = 1.2 and h = 6.4:

Each container has a base radius of 8.2 cm and a height of 28 cm.

So, the radius of each container is 0.082 m and the height is 0.28 m.

Then the volume of each container is:

Then to find the number of containers that can be filled by the tank, we can divide the two values. Hence:

Answer:

This is the answer for both Edmentum and Plato!

Step-by-step explanation:

Hope it helped

Answer:

1. [tex]x=2[/tex]

2. Simplify by combining like terms

3. [tex]x=1[/tex]

4. [tex]k=0.5[/tex]

5. [tex]y=3[/tex]

Step-by-step explanation:

1. [tex]2.5(6x-4)=10+4(1.5+0.5x)[/tex]

Distribute within the parenthesis

[tex]15x-10=10+6+2x[/tex]

Combine like terms

[tex]15x-10=16+2x[/tex]

Isolate the variable expression by using the addition/subtraction properties of equality

[tex]13x=26[/tex]

Isolate the variable by using the division/multiplication properties of equality

[tex]x=2[/tex]

2. Like terms are always combined as soon as possible but never before the distributive property is applied.

3. You can find the solution by comparing the tables.

4. [tex]6k+10.5=3k+12[/tex]

Apply the addition/subtraction properties of equality

[tex]3k=1.5[/tex]

Apply the division/multiplication properties of inequality

[tex]k=0.5[/tex]

5. [tex]y+3=-y+9[/tex]

Addition/subtraction properties

[tex]2y=6[/tex]

Division/Multiplication properties

[tex]y=3[/tex]

Answer:

[tex]21 in^{2}[/tex]

Step-by-step explanation:

The square in the middle has a length and width of 3, so multiply. 9.

All of the triangles have a base of 3 and a height of 2. The area equation for triangles is

[tex]A=bh\frac{1}{2}[/tex]

So base*height is 6. Divide that by 2 or multiply by 1/2.

You get 3. There are 4 triangles, so multiply that by 4. 12.

Add 12 and 9 together, and you get:

[tex]21 in^{2}[/tex]

I hope this helps!

$22.99

Step-by-step explanation:

19.99 increased by 15% ≈ 22.99

Absolute change (actual difference):

22.99 - 19.99 ≈ 3

The difference is $3

Answer:

B or the second one

Step-by-step explanation:

There are the same numbers just positive and negative.

Hope it helps c:

Answer:

Options A ,  D , E

Step-by-step explanation:

Triangle has angles 27° and 45°

The third angle = 180 - 27 - 45 = 108°

Therefore, the angles of ABC are 27° , 45° , 108°

=> ABC is Scalene triangle .

Option A :

Triangle DEF :

       3x + 5x + 12x = 180°

              20x = 180°

               x = 9

Therefore , the angles of DEF = 27° , 45° , 108°

Satisfies

Option B:

Triangle GHI is Isosceles triangle with one angle 108°

But ABC is scalene , therefore not similar.

Does not satisfy.

Option C :

Triangle JKL with one of the angle = 72°

But none of the angles of ABC is equal to 72° .

Therefore, not similar.

Does not satisfy.

Option D :

Triangle MNO have angles 45°  and  108°.

Sum of angles of triangles = 180°

So the third angle of MNO = 27°

Therefore , MNO is similar to ABC.

Satisfy.

Option E:

Angles of triangle PQR are 45° , x° , 4x°

Lets find all the angles .

45 + x + 4x = 180°

5x = 180 - 45

5x = 135

x = 27

Therefore, the angles of PQR = 45° , 27° , 108°

Hence similar to triangle ABC.

Satisfy

Option F :

Angles of triangle STU (5x + 3)°, (9x)° , (21x + 2)°

Sum of the angles => 5x + 3 + 9x + 21x + 3 = 180°

                            => 35x = 180 - 5

                            => 35x = 175

                            => x = 5

Therefore, the angles are

5x + 3 = 5( 5) + 3 = 25 + 3 = 28°

9x =  9 ( 5 ) = 45°

21x + 2 = 21(5) + 2 = 105 + 2  = 107°

The angles are not congruent to the angles of Triangle ABC

does not satisfy.

Answer:

Since both terms are perfect squares, factor using the difference of squares formula,  

a ^2 − b ^2 = ( a + b ) ( a − b )

where  

a = y

and  

b = 6  

( y + 6 ) ( y − 6 )

Answer: Third quadrant

This can be written as Q3 or QIII

This quadrant is in the southwest.

===========================================

Explanation:

There are 4 quadrants on the xy plane. They are separated by the x and y axis. Think of it like 4 separate rooms.

As you can see, the quadrants move in a counterclockwise fashion when going from Q1 to Q2 to Q3 to Q4.

Quadrants 1 and 4 have x,y that are the same sign together. Either they're both positive together, or they're both negative together. Quadrants 2 and 3 have x,y as opposite signs (one is positive and the other is negative).

Answer:

1/2×d1×d2

=1/2× (4+4)(6+3)

=36

Answer:

Answer:$4.56

Step-by-step explanation:

Take $54.79 and subtract it by $50.23, to see the difference in how much more money Rachel earned.

54.79-50.23

$4.56

Hope this helps

thank you have a good day !!

I don't know I don't know I don't know I don't know I don't know I don't know I don't know

Answer:

x=4    Area = 56

Step-by-step explanation:

find x :

36 = 2 (3x + 2 + x)   (simplify)

36 = 2 (4x+2)           (divide both sides by 2)

18 = 4x + 2               (solve)

16 = 4x

4 = x

Find Area Substitute value of x

A= l × w

A = (3x + 2) × (x)

A = (3 × 4 + 2) × (4)

A = (12 + 2) × 4

A = 14 × 4  

A= 56

hope this helps :)

Answer:

the answer is 1

Step-by-step explanation:

(√4 / √6) + (√6 / √4)

(2 / 2√3) + (2√3 / 2)

√3 / √3

= 1

Answer:

i cant even process this.

Step-by-step explanation:

Answer:

solution

here,

Step-by-step explanation:

f={(2,1/2), ( 3, 1/3) , (4, 1/4)}

Range = { / (\ frac 12\) , \ (\ frac 13\) ,

\( \ frac 14\ )}

Inverse function ( f-^1 ) = {( 1/2, 2) ,( 1/3 ,3) , 1/4, 4 )} is the required answer

Answer:

a rational expression is an expression that has a RATIO in it

look at the word "RATIO"nal

a ratio is just a fraction...

so your question is "how to simplify fractions"

lots of approaches, this is one of them...

PRIME FACTOR the numerator and denominator

[tex]\frac{90}{135}[/tex]

90 = 2 * 3 * 3 * 5

135 = 3 * 3 * 3 * 5

= 2/3 (the two 3's cancel and the 5's cancel)

Step-by-step explanation:

Answer:

Yeah, so that is right, just put it into a formula.

[tex]9.07*10x^{-2}[/tex]

Answer: Simple random sampling

Step-by-step explanation:

Simple random sampling is a sampling method where every member of the population of interest has an equal chance of being picked. It is the simplest sampling method as there are no parameters for picking members.

In using the entire company database and simply selecting members using a lottery style, - which is a random style - the managers of this movie theatre were using a simple random sampling method.

19.ans> Given,

Side = 9 m

To,find: Area

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 9×9

We,know that,area of the square is = (side)² = 9×9 = 81 m

20.ans> Given,

Side= 7 cm

We,know that,area of the square is = (side)²

We,know that,area of the square is = (side)² = 7 × 7

= 49 cm

Answer:

496 in.²

346 mm²

880 in.²

168 cm³

960 m³

420 yd³

Step-by-step explanation:

SA = 2(wl + hl + hw)

SA = 2 · (8 · 16 + 5 · 16 + 5 · 8)

SA = 496

SA = 2(wl + hl + hw)

SA = 2 · (5 · 13 + 6 · 13 + 6 · 5)

SA = 346

SA = 2(wl + hl + hw)

SA = 2 · (4 · 20 + 15 · 20 + 15 · 4)

SA = 880

V = whl

V = 4 · 7 · 6

V = 168

V = whl

V = 10 · 8 · 12

V = 960

V = whl

V = 14 · 3 · 10

V = 420

Answer:

That's cheating my guy...................

Answer:

"10 possibilities" is the appropriate response.

Step-by-step explanation:

The numbers will be:

⇒ [tex]123 \ 456 \ 789[/tex]

Now anyway we commence with right and afterwards remove nine from eight and seeing as maintain the sequence growing.

then,

Thus, the above is the correct answer.

Answer:

Step-by-step explanation:

a). Total surface area of cylinder is defined by sum of curved surface area and surface area of the top and bottom.

Total surface area = 2πrh + 2πr²

Skateboarders use a half pipe structure which are not closed at the ends.

Therefore, curved surface of the half pipe = [tex]\frac{2\pi rh}{2}[/tex]

                                                                      = πrh

b). If r = 2.5 m and h = 9 m,

Curved surface area of the half pipe = π(2.5)(9)

                                                             = 70.69 m²

                                                              ≈ 71 m²

Hello!

[ 50; 41; 30 ] = ?

50 | 2 × 5

5 | 5 => 50 = 2 × 5²

1 |

41 | 41 => 41 = 41

1 |

30 | 2 × 5

3 | 3 => 30 = 2 × 3 × 5

1 |

[ 50; 41; 30 ] = 2 × 3 × 5² × 41 = 2 × 3 × 25 × 41 = 6 × 25 × 41 = 150 × 41 = 6150

Good luck! :)

Answer:

100

Step-by-step explanation:

add positive numbers. then subtract the negative numbers.