Greatest to least

2 4/5 , 2 3/20 , 2 1/2 , 2 11/20 , 2 9/20

Answer:

1/9

Step-by-step explanation:

(1/3)^2 = 1/3 x 1/3 =1/9

plus I checked the answer after I got it wrong so...

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

This is a case of enlargement of a figure of scale factor [tex]\frac{1}{3}[/tex].

In any enlargement, [tex]Area(F')=k^2 Area(F)[/tex], where the transformation maps F onto F'.

In this case, let F be polygon XXX and let F' be polygon YYY. Hence,

[tex]Area(YYY) = k^2 Area (XXX)[/tex]

[tex]Area(YYY) = (\frac{1}{3})^2 Area(XXX)[/tex]

[tex]Area(YYY) = \frac{1}{9} Area(XXX)[/tex]

Therefore, the area of polygon YYY is [tex]\frac{1}{9}[/tex] of the area of polygon XXX.

Answer:

The answer is C

Step-by-step explanation:

I just took the exact same test and got a 100% on it, I had previously answered this question when echo2155 rudely claimed that I didn't show any work, most people just answer the question and don't show work because most people just want the answer not the work for it. IF YOU AGREE WITH ME GIVE A THANKS AND 5-STARS, AND COMMENT "BOO echo2155!"

Thank you all who do this!

Answer:

Difference

Step-by-step explanation:

Remember that the therms of any subtraction problem are minuend, subtrahend, and difference.

- The minuend is the number from which you subtract something. For example, in the subtraction problem 4 -3 = 1, 4 is the minuend (you are subtracting 3 form it).

- The subtrahend is the number you subtract (from the minuend). For example, in 4 - 3 = 1, 3 is the subtrahend (you are subtracting 3 from the minuend 4).

- The difference is the result of subtracting the subtrahend form the minuend, in other words, the result of the subtraction problem. For example, in 4 - 3 = 1, 1 is the difference (the result)

We can conclude that the result of a subtraction problem is called the difference.

. In mathematics, the answer to a subtraction problem is called the difference.

For example, when you subtract 3 from 5, you perform the following calculation:

5 - 3 = 2

Here, 2 is the difference. Similarly, if you subtract -6 from 2, you change the sign of the number being subtracted and then add:

2 - (-6) = 2 + 6 = 8

The answer, 8, is the difference as well.

The concept of difference holds true for both scalar and vector quantities. For both types, the difference is the result of the subtraction operation.

Answer:

Step-by-step explanation:

(look at the picture)

We have opposite and adjacent. Therefore we must use the tangent:

[tex]\tangent=\dfrac{opposite}{adjacent}[/tex]

[tex]adjacent=500\\opposite=x\\\tan10^o\approx0.1763[/tex]

Substitute:

[tex]\dfrac{x}{500}\approx0.1763[/tex]       multiply both sides by 500

[tex]x\approx88.15\to x\approx88.2[/tex]

Answer:

BF = 30

Step-by-step explanation:

Since B and F are midpoints then BF is parallel to CE and half it's size

BF = 0.5 × CE = 0.5 × 60 = 30

The store will have 29 pizzas.

This is because:

D is the correct answer

the answer for this question is twelve

Answer:

16^3 is 16^(3/9) = 16^(1/3) = 2 ³√2

Step-by-step explanation:

is it 9 times square root of 16 cubed, or is it really 9th root? I think it's

9th root of 16^3 is 16^(3/9) = 16^(1/3) = 2 ³√2

The values of x and y, when the smaller triangle has an area of 10 cm² are x = 4cm and y = 5cm.

In the given triangle, the area can be expressed as [tex]\( \frac{1}{2} \times x \times y \)[/tex], where x and y represent the base and height of the triangle, respectively. Since the area is given as 10 cm², the equation becomes [tex]\( \frac{1}{2} \times x \times y = 10 \)[/tex].

To find x and y, we can rearrange the equation:

[tex]\[ x \times y = \frac{10 \times 2}{1} \][/tex]

[tex]\[ x \times y = 20 \][/tex]

Now, we need to find two numbers whose product is 20. The pair x = 4 and y = 5 satisfies this condition, as 4 × 5 = 20. Therefore, the values of x and y that satisfy the given area are x = 4cm and y = 5cm.

In conclusion, the solution x = 4cm and y = 5cm satisfies the given area condition. This is determined by substituting these values into the area formula, resulting in an area of 10 cm².

Answer: if the iguana is five feet it would be 60 inches

Answer:

1) The probability of getting an even number when rolling a six-sided number cube is 0.5. Choice A

2) 80%. Choice C

Step-by-step explanation:

1)

We are required to determine the probability of getting an even number when rolling a six-sided number cube. The six-sided number cube has the following numbers written on its faces;

1, 2, 3, 4, 5, 6

The numbers; 2, 4, and 6 are even

The probability of getting an even number;

= ( number of faces with even numbers)/ (total number of faces)

= 3/6

0.5

2)

We are required to determine the probability of choosing a letter that is not a vowel after placing the letters for the word smart in a bag.

The non-vowels in the word smart are; s, m, r, and t. There are 4 non-vowels out of a total of 5 letters. The required probability is thus;

(4/5)*100 = 80%

Probability=number of favorable outcomes/ number of all possible outcomes

P(1st green and 2nd blue) = 2/6 x 3/6 = 1/6

Answer:

Expand the polynomial using the FOIL method.

− 8 x^ 2- 26 x − 15

Answer:

10 pounds

Step-by-step explanation:

You forgot the inequality sing, but since Antoine can't spend more than $18.20, I am positive that the sign is [tex]\leq[/tex] (Antony can spend $18.20 or less than $18.20).

Therefore, our inequality is: [tex]1.30x+5.20\leq 18.20[/tex]

where [tex]x[/tex] is the pounds of oranges

Let's solve step-by-step to find how many pounds of oranges he can buy

Step 1. Subtract 5.20 fro both sides of the inequality

[tex]1.30x+5.20-5.20\leq 18.20-5.20[/tex]

[tex]1.30x\leq 13[/tex]

Step 2. Divide both sides of the inequality by 1.30

[tex]\frac{1.30x}{1.30} \leq \frac{13}{1.30}[/tex]

[tex]x\leq 10[/tex]

We can conclude that Antony can buy 10 pounds of oranges.

The area of a right triangle with side lengths 7 and 7 is [tex]\frac{bh}{2} = \frac{7*7}{2} = \frac{49}{2} = 24.5[/tex]

Answer: ≈ 13.98 in2

Step-by-step explanation:

A segment of a circle is a region bounded by an arc and its chord.

To determine the area of the segment, begin by finding the area of the sector defined by the central angle.

A sector of a circle is a region bounded by two radii of the circle and their intercepted arc.

The formula for the sector area is A = πr2 (m∘/360∘).

It is given in the figure that central angle MNO is a right angle. So, m∠MNO = 90∘. It is also given that r = 7 in.

Substitute the given values into the formula and simplify.

A = π(7)2 (90∘/360∘) = 49/4π in2

Find the area of △MNO.

Since the radii in a circle are congruent, NO = NM = 7.                                  To find the area of △MNO, use the formula for the area of a triangle, A = 1/2bh.

Substitute 7 for b and 7 for h, then simplify.

A = 1/2 (7) (7) = 24.5 in2

The area of the segment is the difference between the two areas, the area of the sector and the area of the triangle.

A = 49/4π − 24.5 ≈ 13.98 in2

Therefore, the area of segment MNO is ≈ 13.98 in2.

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\theta \pi r}{180}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ r=6.5\\ s=5.7 \end{cases}\implies 5.7=\cfrac{\theta \pi (6.5)}{180}\implies 1026=6.5\pi \theta \\\\\\ \cfrac{1026}{6.5\pi }=\theta \implies \stackrel{\textit{rounded up, using }\pi =3.14}{50.27=\theta }[/tex]

The measure of the angle at the centre of the circle made by the arc of length 5.7 cm that has a radius of 6.5 cm is 50.27°.

Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]

where

θ is the angle, that arc creates at the centre of the circle in degree.

As we know that the length of an arc is given by the formula,

[tex]\rm{ Length\ of\ an\ Arc = 2\pi r \times \dfrac{\theta}{360^o}[/tex]

Given the length of the arc is 5.7 cm, while the radius of the circle is 6.5cm, therefore, the angle made by the arc at the centre of the circle is,

[tex]5.7 = 2\pi (6.5) \times \dfrac{\theta}{360^o}\\\\[/tex]

θ = 50.27°

Hence, the measure of the angle at the centre of the circle made by the arc of length 5.7 cm that has a radius of 6.5 cm is 50.27°.

Learn more about the Length of an Arc:

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Answer:

73

292

173

Step-by-step explanation:

x = first number

4x = second number

100 + x = third number

x + 4x + 100 + x = 538

6x + 100 = 538

6x + 100 - 100 = 538 - 100

6x = 438

6x/6 = 438/6

x = 73

Check:

73 + 4(73) + 100 + 73 = 538

73 + 292 + 173 = 538

538 = 538

Answer:

The numbers are 73, 173 and 292.

Step-by-step explanation:

If the numbers are x, y and z we have:

y = 4x

z = x + 100

x + y + z = 538

Substituting for y in the last equation:

x + 4x + z = 538

5x + z = 538.............(1)

From the second equation:

z - x = 100................(2)

Equation (1) - (2) gives:

6x = 438

x = 73

Therefore y = 4x) = 4(73) = 292

and z = x + 100 = 73 + 100 = 173.

To find the change in the temperature, solve for the equation below.

[tex]x - 13 = -4[/tex]

We now know that the temperature changed by 9 degrees.

[tex]x = 9[/tex]

So, we are looking for the answer which indicates that the temperature changed by 9 degrees.

[tex]-4 + 13 = 9[/tex]

The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The temperature Saturday is -13°, and on Sunday it is -4°.

The change in the temperature, solve the equation below.

x - 13 = -4

Now, we know that the temperature changed by 9 degrees.

x = 9

The answer indicates that the temperature changed by 9 degrees.

-4 + 13 =9

The equation that would be used to show the difference in temperature from Saturday to Sunday is -4 + 13 = 9.

Learn more about equations here;

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Answer:

(x, y) = (-1, 4), (2, -1), (5, -6)

Step-by-step explanation:

You can choose any value you like for either x or y, then solve for the other value. I like to plot points with integer coefficients, so I would look for sets of those.

The nature of this equation is that it will have integer solutions with x-values spaced 3 apart and y-values spaced 5 apart. (The spacing of each corresponds to the coefficient of the other.) So, the trick is to find an x-value that gives an integer solution for y. (You will need to try at most 3 consecutive integers.)

Solving the equation for y, we get ...

y = -5/3x +7/3

Right away, we know that x=0 will not give an integer solution for y. Nor does x=1. The third consecutive integer that is easy to try is x = -1, so ...

y = (-5/3)(-1) +7/3 = (5+7)/3 = 4 . . . . an integer value for y

Our first point is then (x, y) = (-1, 4).

Since the slope is negative, we know that increasing x will decrease y. Thus we can simply add (3, -5) to any point to get another point on the line.

Two more points on the line are ...

(-1, 4) +(3, -5) = (2, -1)

(2, -1) +(3, -5) = (5, -6)

Three integer-valued points on this line are (-1, 4), (2, -1), (5, -6).

Answer:

Option A. Ahmed wins the chess game

Step-by-step explanation:

we know that

The probability of Ahmed winning the chess games is 45%

45%=045/100=0.45

The probability of Ahmen winning the checkers games is 0.36

Compare the probability

0.45> 0.36

so

Is more likely that  Ahmed wins the chess game

Answer:

A

Step-by-step explanation:

Answer:

1). Option C

2). Option A

Step-by-step explanation:

The given vertices of polygon ABCDE are A(2, 8), B(4, 12), C(10, 12), D(8, 8) and E(6, 6)

After reflection new polygon formed MNOPQ has the vertices M(-2, 8), N(-4, 12), O(-10, 12), P(-8, 8) and Q(-6, 6).

By comparing the vertices we find the x-coordinates of polygon ABCDE have been changed to MNOPQ by negative notation only.Y- coordinates are same.

Therefore, polygon ABCDE has been reflected across the y-axis.

Option C. is the answer.

If polygon MNOPQ is translated 3 units right and 5 units down then the new vertices of congruent polygon VWXYZ will be

M(-2, 8) = [(-2 - 3), (8 + 5)] = (-5, 13)

N(-4, 12) = [(-4 - 3), (12 + 5)] = (-7, 17)

O(-10, 12) = [(-10 - 3),(12 + 5)] = (-13, 17)

P(-8, 8) = [(-8 - 3), (8 + 5)] = (-11, 13)

Q(-6, 6) = [(-6 -3),(6 + 5)] = (-9, 11)

Therefore, Option A. is the correct option.

the awnser should be -x^2 +2

Answer:

y = -x^2+2

Step-by-step explanation:

shift down y=x^2 for 2 units then it becomes y = x^2-2

reflect across x-axis then it becomes y = -(x^2-2) which is y = -x^2+2

Answer:

an = 600,000 (1.15)^(n-1)

Step-by-step explanation:

So the first year, a₁ = 600,000.  The next year, a₂ = 690,000.  So:

r = a₂ / a₁

r = 690,000 / 600,000

r = 1.15

So an = 600,000 (1.15)^(n-1).

Your answer is correct!

Answer:

b

Step-by-step explanation:

Answer:

w = 93°

Step-by-step explanation:

The angle with measure 142° forms a straight angle with the third angle in the triangle and are supplementary, thus

third angle = 180° - 142° = 38°

The sum of the 3 angles in the triangle = 180°

w = 180° - (38 + 49)° = 180° - 87° = 93°

The answer is:

The second option,

[tex]SU=13.02=13[/tex]

We are working with a right triangle, it means that we can use the following trigonometric property:

[tex]Tan(\alpha)=\frac{Opposite}{Adjacent}[/tex]

Which applied to our problem, will be:

[tex]Tan(\alpha)=\frac{TU}{SU}[/tex]

We are given:

m∠S, equal to 21°

The side TU (opposite) equal to 5 units.

So, substituting and calculating we have:

[tex]SU=\frac{TU}{Tan(\alpha)}[/tex]

[tex]SU=\frac{5units}{Tan(21\°)}[/tex]

[tex]SU=13.02=13[/tex]

Hence, the answer is the second option

[tex]SU=13.02=13[/tex]

Have a nice day!

Answer:

13.0

Step-by-step explanation:

The given angle is m<S=21.

The given side length UT=5 units.

This side length is opposite to the given angle.

Since we want to find SU, the adjacent side; we use the tangent ratio to obtain;

[tex]\tan 21\degree=\frac{opposite}{adjacent}[/tex]

[tex]\tan 21\degree=\frac{5}{SU}[/tex]

This implies that;

[tex]SU=\frac{5}{\tan 21\degree}[/tex]

Therefore SU=13.025

The nearest tenth

SU=13.0

Answer:

I believe the answer is B

Step-by-step explanation:

Answer:

the answer is B  

Step-by-step explanation:

Answer:

16 ft²

Step-by-step explanation:

The area (A) of a triangle is calculated using the formula

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 8 and h = 4, thus

A = [tex]\frac{1}{2}[/tex] × 8 × 4 = 16 ft²

Answer:

374.1

Step-by-step explanation:

Area of Hexagon = [tex]\frac{3\sqrt{3} }{2} * a^{2}[/tex]

The ' a ' is the side length.

So now we just plug in the values

[tex]\frac{3\sqrt{3} }{2} *12^{2}[/tex] = 374.12

Answer:

The simplest form is 2(3x - 7)/x(x³ + 4)

Step-by-step explanation:

* Lets revise how can divide fraction by fraction

- To simplify (a/b)/(c/d), change it to (a/b) ÷ (c/d)

∵ a/b ÷ c/d

- To solve it change the division sign to multiplication sign and

 reciprocal the fraction after the sign

∴ a/b × d/c = ad/bc

* Now lets solve the problem

∵ [tex]\frac{\frac{3x-7}{x^{2}}}{\frac{x^{2}}{2}+\frac{2}{x}}[/tex]

- Lets take the denominator and simplify by make it a single

 fraction, let the denominator of it 2x and change

 the numerator

∴ [tex]\frac{x^{2}}{2}+\frac{2}{x}=\frac{x(x^{2})+2(2)}{(2)(x)}=\frac{x^{3}+4}{2x}[/tex]

∴ The fraction = [tex]\frac{\frac{3x-7}{x^{2}}}{\frac{x^{3}+4}{2x}}[/tex]

* Now lets change it by (up ÷ down)

∴ [tex]\frac{3x-7}{x^{2}}[/tex] ÷ [tex]\frac{x^{3}+4}{2x}[/tex]

- Change the division sign to multiplication sign and reciprocal

 the fraction after the sign

∴ [tex]\frac{3x-7}{x^{2}}[/tex] × [tex]\frac{2x}{x^{3}+4}[/tex]

∴ [tex]\frac{(2x)(3x-7)}{(x^{2})(x^{3}+4)}[/tex]

- We can simplify x up with x down

∴ [tex]\frac{2(3x-7)}{x(x^{3}+4)}[/tex]

* The simplest form is 2(3x - 7)/x(x³ + 4)