the pair of figures is similar. find x. round to the nearest tenth if necessary.




A: 34cm
B: 29.6cm
C: 9.8cm
D: 21.9cm





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Answer:

Center [tex]= (0,0)[/tex]

Vertices  [tex]=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(-2,0)\text{ and }(2,0)[/tex].

Step-by-step explanation:

The standard form of an ellipse is

[tex]\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1[/tex]    ...(1)

where, a>b, (0,0) is center, (±a,0) are vertices and (±c,0) are foci.

[tex]c=\sqrt{a^2-b^2}[/tex]

The given equation of ellipse is

[tex]3x^2+7y^2=21[/tex]

Divide both sides by 21.

[tex]\dfrac{3x^2+7y^2}{21}=\dfrac{21}{21}[/tex]

[tex]\dfrac{x^2}{7}+\dfrac{y^2}{3}=1[/tex]    ...(2)

On comparing (1) and (2), we get

[tex]a^2=7,b^2=3[/tex]

[tex]a=\sqrt{7},b=\sqrt{3}[/tex]

Now,

[tex]c=\sqrt{a^2-b^2}=\sqrt{7-3}=\sqrt{4}=2[/tex]

Therefore,

Center [tex]= (0,0)[/tex]

Vertices [tex]=(\pm a,0)=(\pm \sqrt{7},0}=(-\sqrt{7},0)\text{ and }(\sqrt{7},0)[/tex]

Foci [tex]=(\pm c, 0)=(\pm 2,0)=(-2,0)\text{ and }(2,0)[/tex].

Answer:

27.4

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

x+ 34.6+118 = 180

Combine like terms

x+152.6 = 180

Subtract 152.6 from each side

x +152.6-152.6 = 180-152.6

x =27.4

_________________________________

Solution,

x+118+34.6=180°( sum of angle in traingle)

or,x+152.6=180

or,X=180-152.6

X=27.4

The value of X is 27.4 °

hope it helps

Good luck on your assignment

_________________________________

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Answer:

Volume of the liquid left in the container will be 80 ml.

Step-by-step explanation:

Two containers A and B having equal volumes of the liquid has been shown in the figure attached.

Let the volume of the liquid in each container = x ml

120 ml of the liquid was poured in container B from container A.

Volume of liquid in container B = 4 × Volume of the liquid in container A

x + 120 = 4(x - 120)

x + 120 = 4x - 480

4x - x = 480 + 120

3x = 600

x = 200 ml

Volume of the liquid left in container A = 200 - 120

                                                                    = 80 ml

Therefore, volume of the liquid left in the container A will be 80 ml.

Answer:

2 1/4

Step-by-step explanation:

=−514+712

Rewriting our equation with parts separated

=−5−14+7+12

Solving the whole number parts

−5+7=2

Solving the fraction parts

−14+12=?

Find the LCD of 1/4 and 1/2 and rewrite to solve with the equivalent fractions.

LCD = 4

−14+24=14

Combining the whole and fraction parts

2+14=214

Answer:

Step-by-step explanation:

From Rule 6: Jennie is at Seat 4 and next to Harvey; and by rule 1 (Harvey has a higher seat number than Jennie)

From Rule 2:  Peter is across from Harvey.

Since Seat 5 is across from Seat 1

From Rule 7: Peter is next to Lia.

Therefore, Lia can either be in Seat 2 or Seat 8, but by Rule 3 (Neither Joyce nor Lia is in seat 8), therefore, Lia is in Seat 2.

By Rule 5: Lia is next to Kenny, therefore:

From Rule 4: Rick is across from Kenny, and Rick is also next to Joyce.

Seat 7 is across from Seat 3, therefore:

Since Rick is also next to Joyce (and by Rule 3, Joyce cannot be on Seat 8)

Therefore, we have:

Seat 1: Peter

Seat 2: Lia

Seat 3: Kenny

Seat 4: Jennie

Seat 5: Harvey

Seat 6: Joyce

Seat 7: Rick

Since Mark has the remaining seat, Mark is on Seat 8.

Answer:

4y-18

Step-by-step explanation:

2(2y)+2(-5)-8

4y-10-8

4y-18

Hope this helps!

Answer:

2x2y - 2x5 -8

4y - 10 -8

4y -18

This question is incomplete

Complete Question

If a patient needs a 30-day supply of tablets and takes two tablets four times a day, how many tablets will the patient need for discharge?

Answer:

240 tablets

Step-by-step explanation:

From the question we are told the patient needs a 30 days supply of drugs.

This means the patient will be discharged after 30 days

We are told the patient takes 2 tablets , four times a day

This means

One day = 2 tablets × 4 = 8 tablets

Hence, if:

1 day = 8 tablets

30 days = unknown so we represent by Y

We cross multiply

1 × Y = 8tablets × 30days

Y = 240 tablets

Therefore, the patient would need 240 tablets for discharge.

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.

Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

Answer:

maximum point: (0, 4)

x-intercepts: (2, 0), (-2, 0)

y-intercepts: (0, 4)

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

Answer:

Step-by-step explanation:

Answer:

A≈896.81

Step-by-step explanation:

This is an approximate answer. Use the formula SA = pi, radius, slant height + pi, radius squared. Plug it in in PEMDAS order.

P.S. SOmeone please tell me if this is wrong I will fix it. Thanks!

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

Answer:

A+B=B+A

B+0=B

E-C=E+(-C)

Step-by-step explanation:

Answer:

A) A+B = B+A

C) B+0= B

D) E-C= E+(-C)

Step-by-step explanation:

Answer:

65 shirts.

Step-by-step explanation:

50 is the amount of shirts sold in February.

30% increase=1.3

1.3(50)

65

They need to sell 65 shirts in March to get the bonus.

Answer:

11 grams of drink mix per ounce of water

Step-by-step explanation:

I converted both numbers to decimals to get 19.25 and 1.75, then divided the amount of drink mix by the amount of water.

Answer:

11 gm mix : 1 ounce water

Step-by-step explanation:

We find 1/7 of 19.75gm  = 2.75

Then we multiply by 4 = 11

We have found our ounce rate to be 11 gm : 1 ounce water

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

√2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

Answer:

Horizontal

Step-by-step explanation:

Answer:

1- vertical

2-horizontal

Step-by-step explanation:

Read the defitions! Hope this helped!