Which of the diagrams below represents the statement if it is a square then it is a rectangle

Answer:

No

Step-by-step explanation:

One infinity cannot be larger than another

Answer:

The image of the circle is 9·x² + 9·y² - 42·x + 33·y = 22

Step-by-step explanation:

We convert the equation to the form (x - h)² + (y - k)² = r²

Where:

(h, k) = Coordinates of the center of the circle

We therefore have;

x² + y² - 2·x + 3·y = 8 which gives;

x² - 2·x + 1 - 1 + y² + 3·y + (3/2)² - (3/2)² = 8

(x - 1)² + (y + 3/2)² - 1 - (3/2)² = 8

(x - 1)² + (y + 3/2)²  = 8 +  1 + (3/2)² = 45/4

Therefore, the center = (1, -3/2) and the radius = √5 × 3/2

The line joining the centers of the actual (1, -3/2) and reflected circle (h, k) is bisected by the line of reflection, therefore the midpoint of the line is on the line of reflection with coordinates;

Midpoint between (1, -3/2) and  (h, k) = [tex]\left (\dfrac{{h - 1}}{2}, \, \dfrac{k - 3/2}{2} \right )[/tex]

Which gives;

y = 2·x - 3 being equivalent to [tex]\dfrac{k - 3/2}{2} = 2\times\dfrac{{h - 1}}{2} - 3[/tex]

Which gives;

4·h -2·k -13 = 0.......(1)

Similarly the slope of the reflecting line is perpendicular to the line joining the centers of the actual and reflected circles

Therefore;

The slope of the line, y = 2·x - 3 = 2, hence we have;

[tex]\dfrac{\left ( \dfrac{k - 3/2}{2} \right ) + 3/2}{\left (\dfrac{{h - 1}}{2}-1 \right )} = \dfrac{1}{2}[/tex]

Which gives;

2·h -4·k -12 = 0.......(2)

Multiplying equation (2) and subtracting from equation (1) gives

4·h -2·k -13 - 2×(2·h -4·k -12) = 0

6·k + 11 = 0

k = -11/6

From which we have;

2·h -4×(-11/6) -12 = 0

Hence;

h = 7/3

Therefore, the center of the reflected circle = (7/3, -11/6)

The equation of the reflected circle is therefore;

(x - 7/3)² + (y + 11/6)² = 45/4

Which gives;

9·x² + 9·y² - 42·x + 33·y - 22 = 0

or x² + y² - 42/9·x + 33/9·y = 22/9.

Answer:

2.45 L in a week

Step-by-step explanation:

First find out how many ml he drinks in a week

350 mL * 7 days

2450 mL in a week

We know that 1000 mL = 1 L

2450 mL * 1 L /1000 mL = 2.45 L in a week

Answer:

2.450 litres.

Step-by-step explanation:

The answer is converting into Litres as we know 7 x 35 = 350-105 = 245++0 = 2450 ml

Answer:

52 brownies

Step-by-step explanation:

If you divide 17.16 by 0.33, you get 52

Answer:

25 hours

Step-by-step explanation:

$120 for every 10 hours

$12 for every hour

$300/12= 25 hours

Answer:

(-5, 2) and (2, 6)

Step-by-step explanation:

Use the substitution method. We know that y = 3x and y = x^2 - 10, so we can set them equal to one another.

3x = x^2 - 10

x^2 - 3x - 10 = 0

Use the quadratic equation to solve for x.

x = - 5, 2

Now solve for y using these two values of x by substituting it back into the equations.

y = - 15,  6

In coordinate form, (-5, 2) and (2, 6)

Answer:

they are both money

Step-by-step explanation:

that's why they relate, they're both currency

Answer:

B

Step-by-step explanation:

I took the quiz

Answer:

D. It assumes that all students taking geometry are in the 9th grade 

Step-by-step explanation:

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

[tex]x + y = 90[/tex]

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]

We now have a system of equations which we can solve to find the necessary mass of each type.

[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]

[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Answer:

a. 87.5%

b. 30 g of 12 carat and 60 g of 21 carat.

Step-by-step explanation:

a. The percentage of gold in 21 carat is given by:

b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:

The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:

We now have a system of equations which we can solve to find the necessary mass of each type.

He needs 30 g of 12 carat gold and 60 g of 21 carat gold.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Strictly speaking, 15% isn't precisely the same as 0.15; 0.15 is the decimal fraction used to calculate 15% of some quantity.

15% of 52 is indeed 7.8.  $7.80 is the discount that is to be SUBTRACTED  from the regular price ($52).  Adding $7.80 to $52 is incorrect.  

Also, 52 + 7.8 - 59.8 is incorrect:  it's not an equation (but should be one), and we should be subtracting $7.80 from $52.

Answer:

Jason has 75 pencils.

Step-by-step explanation:

In order to get from 4 to 100, you must multiply by 25 (100/4 = 25). And in order to find the amount of pencils Jason has, you must have an equivalent ratio. So you have to also multiply 3 by 25, 3 * 25 = 75. Jason has 75 pencils.

Answer: the second one

Step-by-step explanation:

The first one is reflection over the x-axis, rotated, and translated. The third one is rotated 90 degrees

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).

From the graph coordinates of triangle ABC are A(-5, 4), B(-2, 4) and C(-1, 1).

(x, y) becomes (-y, x)  in 180° clockwise rotation

A(-5, 4)→(-4, -5)

B(-2, 4)→(-4, -2)

C(-1, 1)→(-1, -1)

Now,

The reflection of point (x, y) across the y-axis is (-x, y).

Then, coordinates become

(-4, -5)→A'(4, -5)

(-4, -2)→B'(4, -2)

(-1, -1)→C'(1, -1)

The triangle A'B'C' with the coordinates A'(4, -5), B'(4, -2) and C'(1, -1). Therefore, option A is the correct answer.

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Answer:

the answer is b, 4 units

Answer:

4

Step-by-step explanation:

quatro

Answer:

True Plan A will be worth more than plan B after two years.

True Plan A will be worth more than plan B after one year.

False Plan B will be worth more than plan A after three years.

False Plan B will be worth more than plan A after four years.

Step-by-step explanation:

plan A proves 10% Standard interest as it is $100 every year

plan B proves $50 per year Standard interest and may increase if this was CI interest as it may include interest on interest but nothing was mentioned that Plan B was CI type interest or any different from plan B type.

Because of this we can only agree option 1+2 out of 1-4 is true.

Answer:

Range = 3

Step-by-step explanation:

First, start off by ordering the list from least to greatest. Then, subtract the least number (0) from the greatest number (3), which will get you the range of 3.

Hope this helps! :D

Answer:

15n+18

Step-by-step explanation:

you have to multiply both integers(5n + 6) from inside the bracket with the number outside the bracket *3*

equation working below

3×5n=15n

3×6=18

final answer:

15n+18

Answer:

its rather B or C

Step-by-step explanation:

c(c)=y

so the slope is Y=2x+2

the reason why its rather B or C is because of the axis

i   dont know what belongs where

Answer:

20 miles

Step-by-step explanation:

1 : just use the line to trace how long it would be

Answer: 10 animals would be going to the river

Step-by-step explanation:

Took the test

Answer:

this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."

I can't really make sense of it though...

Answer:

What is the difference between constructing a square and constructing a regular hexagon?

The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.

The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

Step-by-step explanation:

Step-by-step explanation:

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

The volume of frustum of cone is   [tex]42.75\pi[/tex]

Frustum of cone is the part of cone when it is cut by a plane into two parts. The upper part of cone remains same in shape but the bottom part makes a frustum. To get this part of the right circular cone we have to slice it horizontally or parallel to the base.

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

Where,

R = Radius of the bigger circular end

r = radius of the smaller circular end

H = height of frustum

According to the question

Original height of cone = 9 cm

Radius of the bigger circular end = 4.5 cm

Radius of the smaller circular end = 3 cm

Height of frustum = 3 cm

Volume of frustum of cone = [tex]\frac{\pi H}{3} [ R^{2} + r^{2} + rR][/tex]

                                              = [tex]\frac{\pi 3}{3} [ 4.5^{2} + 3^{2} + 4.5*3][/tex]

                                              =  [tex]\pi [ 20.25 + 9 + 13.5][/tex]

                                              = [tex]42.75\pi[/tex]

Hence, The volume of frustum of cone is   [tex]42.75\pi[/tex] .

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Answer:

{0.3, 3, 30, 300, 3000}

Step-by-step explanation:

Here a(1) = 0.3, and

        a(2) = 3, and

         a(3) = 30, and

          a(4) = 300, and

          a(5) = 3000

The first term (given) is 0.3, and the common ratio is 10.

Answer:

Step-by-step explanation:

Around 0

Answer:

408 squared units

Answer:

is this a question? also, 6/4 is not irrational, it is rational, and an irrational number is a number that cannot be expressed as a ratio of two integers, aka a simple fraction