Two polygons are similar. The perimeter of the smaller polygon is 48 centimeters and the ratio of the corresponding side lengths is 2/3 . Find the perimeter of the other polygon.

Answer:

6,24

Step-by-step explanation:

6,24^2-16= 22,9376 -> 23

Answer:

[tex]226.08\ in^{2}[/tex]  or  [tex]72\pi\ in^{2}[/tex]

Step-by-step explanation:

we know that

The lateral area of a cylinder ( curved area of the vase) is equal to

[tex]LA=2\pi rh[/tex]

we have

[tex]r=6/2=3\ in[/tex] ------> the radius is half the diameter

[tex]h=12\ in[/tex]

substitute the values

[tex]LA=2\pi (3)(12)=72\pi\ in^{2}[/tex] -----> exact value

assume

[tex]\pi=3.14[/tex]

[tex]72(3.14)=226.08\ in^{2}[/tex] ----> approximate value

Final answer:

Eudora's balance at the end of the year will be $7,750.03.

Explanation:

To calculate Eudora's balance at the end of the year, we need to calculate the interest for each period separately and then add them together. The credit card offers an introductory APR of 7.8% for the first 3 months, so we will calculate the interest for this period first.

Step 1: Calculate the interest for the introductory period:

Interest = Balance * Introductory APR * (Introductory Period / 12) = $6400 * 0.078 * (3/12) = $156.00

Since the card compounds interest monthly, we need to calculate the interest for each month of the remaining 9 months at the standard APR of 26.5%:

Step 2: Calculate the interest for each month of the remaining 9 months:

Interest for each month = Balance * Standard APR / 12 = $6400 * 0.265 / 12 = $139.67

Step 3: Add up the interest for the introductory period and the remaining 9 months:

Total interest = Interest for the introductory period + (Interest for each month * Number of months) = $156.00 + ($139.67 * 9) = $1,350.03

Step 4: Calculate the final balance at the end of the year:

Final balance = Balance + Total interest = $6400 + $1,350.03 = $7,750.03

Therefore, Eudora's balance at the end of the year will be $7,750.03.

Answer:

5/51

Step-by-step explanation:

The probability of Kevin choosing a white sock on the first pick, there are 6 white socks and 18 socks total so the chances are 6/18. But 6/18 simplified is 1/3. On the second choice he has to pick another sock and there are 5 left out of 17 socks total remaining. So the chances of him picking another sock are 5/17. If you multiply 1/3 by 5/17 you will end up with your answer, 5/51.

Probabilities are used to determine the chances of an event.

The given parameters are:

[tex]\mathbf{White = 6}[/tex]

[tex]\mathbf{Black = 4}[/tex]

[tex]\mathbf{Grey = 3}[/tex]

[tex]\mathbf{Red = 5}[/tex]

So, the total is:

[tex]\mathbf{Total = 6 + 4 + 3 + 5}[/tex]

[tex]\mathbf{Total = 18}[/tex]

The probability that both selections are white socks is:

[tex]\mathbf{Pr = \frac{White}{Total} \times \frac{White - 1}{Total - 1} }[/tex]

1 is subtracted from the fractions of the second factor, because it is a selection without replacement.

So, we have:

[tex]\mathbf{Pr = \frac{6}{18} \times \frac{6 - 1}{18 - 1} }[/tex]

[tex]\mathbf{Pr = \frac{1}{3} \times \frac{5}{17} }[/tex]

So, we have:

[tex]\mathbf{Pr = \frac{5}{51} }[/tex]

Hence, the probability that both selections are white socks is 5/51

Read more about probabilities at:

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Answer:

The answer would be A.

Step-by-step explanation:

This is because when you divde 120 by 10, you will be given an answer of 12. This shows that 10% of 120 is 12.

Answer:

A. What is 10% of 120?

Step-by-step explanation:

did it on edge and the other person is correct :] Hope this helps

If you are looking for a line measurement then I suggest using the distance formula.  Which is [tex]\sqrt({x2-x1)^{2} +(y2-y1)^{2}  }[/tex]

Answer:

408 in²

Step-by-step explanation:

Given in the question that,

length of a show box = 15 in

width of a show box = 7 in

height of a show box = 4.5 in

Formula to calculate the surface area of shoe box is as following

Plug values in the formula

2*(15*7 + 15*4.5 + 7*4.5)

2(105 + 67.5 + 31.5)

408 in²

The surface area of the box = 408 in²

Answer:

an = -773 + 48n

Step-by-step explanation:

an = a + (n -1)d

a15 = a + (15 - 1)d = -53

         a + 14d = -53 .........1

a16 = a + (16 - 1)d = -5

         a + 15d = -5 ............2

subtract equation 2 from 1

a - a + 14d - 15d = -53 + 5

-d = -48

d =48

substitute d =48 in equation 1

a + 14(48) = -53

a +672 = -53

a = -53 -672

a = -725

an = -725 + (n -1)48

an = -725 + 48n - 48

an = -773 +48n

Answer:

Step-by-step explanation:

find the volume of each figure

let's firstly convert the mixed fractions to improper fractions, and then add them up.

[tex]\bf \stackrel{mixed}{8\frac{1}{2}}\implies \cfrac{8\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{17}{2}}~\hfill \stackrel{mixed}{7\frac{2}{3}}\implies \cfrac{7\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{23}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{17}{2}+\cfrac{23}{3}\implies \stackrel{\textit{using the LCD of 6}}{\cfrac{(3)17~~+~~(2)23}{6}}\implies \cfrac{51+46}{6}\implies \cfrac{97}{6}\implies 16\frac{1}{6}[/tex]

Answer: the answer is D

Step-by-step explanation:

20+25= 45 minutes already used up. there are 120 minutes in 2 hours that she has.

120-45= 75

75/120= .625

.625x100 to get you your percentage = 62.5%

Answer:

The answer is B

Answer: You take $18.80 divide by 2 =$9.40 then $18.80+$9.40=$28.20

$28.20 x's 5.5=$$155.10

$18.80 x's 40=$752.00

then add 752.00+155.10=$907.10

Step-by-step explanation:

Point C is the answer

Answer:

Point C

Step-by-step explanation:

Answer: x² + y² + 16y - 242 = 0

Step-by-step explanation: The equation of circle is given in the form (x -a)² + (y - b)² = r², where (a,b) is the center of the circle and r is the radius. But r is the distance from (0,-8) to (9,7)

the equation is (x-0)² + (y + 8)² = r²

                           x² + (y + 8)² = r²

hence r² = (x₁ - x₂)² + (y₁ - y₂)²

          r² = (0 - 9)² + (-8 - 7)² = 81 + 225 = 306

hence the equation is

                x² + y²+16y+64 = 306

                x² + y² + 16y - 242 = 0                        

Answer: 120 units3

Explanation: When finding the base of a prism, you must always multiply the side with the right angle. So basically, 5 is ignored because it does not have a right angle.

1st step: 3*4=12

2nd step: 12/2=6 (because the tringle which is the base is half a square)

3rd step: 6*20=120

The ending is unit 3 because it is volume. Area is unit 2 and we don't know if the prism is in cm so it is not A, or B, and D is the incorrect answer.

In conclusion:

120 units 3

Hope this helped!

Alin

Answer:

60+6= 66, 66/3= 22 in 6 years time his father will be 44 years. now his father age will 38 and George age will be 22

The present age of the father is 42 years and George is 18 years.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the sum of the present ages of George and his father is 60 years. In 6 years his father will be twice as old as George will be.

Make the two linear equations and solve them to get the present ages.

G + F = 60

2 ( G + 6 ) = F + 6

2G + 12 = F + 6

2G + 12 = 60 - G + 6

3G = 54

G = 18 years

Father's age will be,

F = 60 - 18

F = 42 years

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Answer:

1. Not simplified correctly. It  is (3/7)x + 1

2. Not simplified correctly. It is (3/x)

3. Not Simplified correctly. I believe it is as simplified as it can get

Step-by-step explanation: When a polynomial is over a denominator, ALL elements of the polynomial is affected

Answer:

6x(x - 2)

Step-by-step explanation:

Find the common factors of 6x² - 12x, which is 6x.

Answer:

D

Step-by-step explanation:

Given that the ratio of side lengths = 8 : 3, then

ratio of volumes = 8³ : 3³ = 512 : 27 → D

ANSWER

The correct answer is option D.

EXPLANATION

The given pyramids are similar and the side lengths are in the ratio 8:3

Volume is in cubic units, therefore the volume of the two similar pyramids are in the ratio;

[tex] {8}^{3} : {3}^{3} [/tex]

This simplifies to

[tex]512 : 27[/tex]

The correct answer is option D.

Answer:

Step-by-step explanation:

[tex]-x^2-9\geq0\qquad\text{change the signs}\\\\x^2+9\leq0\\\\\text{the parabola}\ x^2\ \text{is op}\text{en up and shifted 9 units up. Therefore is whole}\\\text{over the x-axis (only positive values)}.\\\\\bold{CONCLUSION}:\\\\\bold{no\ solution}[/tex]

Answer:

B

Step-by-step explanation:

To rationalise the denominator.

Multiply the numerator/denominator by the radical on the denominator.

The radical on the denominator is [tex]\sqrt{11}[/tex], thus

Multiply the fraction by

[tex]\frac{\sqrt{11} }{\sqrt{11} }[/tex] → B

The expression (√11 /√11 ) needs to be multiplied to rationalize the denominator.

Those numbers which can be written in the form p/q such that q > 0 ae called Rational Numbers.

The expression given is

( 2 √10) /( 3 √11 )

To rationalize the denominator , the radical √11 needs to be rationalize

( 2 √10) /( 3 √11 ) * (√11 /√11 )

(2√110) / 33

Therefore (√11 /√11 ) needs to be multiplied to rationalize the denominator.

Option B is the answer.

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(N-2)180

(130-2)180

128 x 180

23040

Final answer:

The sum of the interior angles of a convex 130-gon is 23040 degrees, calculated using the formula S = (n - 2) × 180° with n equal to the number of sides.

Explanation:

The sum of the interior angles of any polygon can be calculated by using the formula S = (n - 2) × 180°, where S is the sum of the interior angles and n is the number of sides in the polygon. In the case of a convex 130-gon, with n = 130, the calculation would be S = (130 - 2) × 180°. This simplifies to S = 128 × 180°, which is S = 23040°. Therefore, the sum of the interior angles of a convex 130-gon is 23040 degrees.

Answer:

$66.50

Step-by-step explanation:

lets break this down a bit:

the tickets are $16 each

there is an additional $2.50 added when tickets are bought online, its a one time fee and does not apply to every ticket

n represents the amount of tickets bought

you're on the right track so far, the expression is as follows:

16n +2.50   <---n is placed next to the 16 because we are calculating the amount of tickets bought and their price plus the one time service fee of $2.50

we are then told that 4 tickets were bought

in this expression, n = 4, so we substitute 4 into the equation for n

16(4) + 2.50

16 x 4 = 64

instead of multiplying like you did on the worksheet, you would add since the original expression we wrote plus 2.50, not times 2.50

64 + 2.50 = 66.50

so, the total price for 4 tickets bought online is $66.50

you were on the right track! let me know if you need anything else cleared up about expressions

Answer:

Option D. minor arc

Step-by-step explanation:

we know that

In a circle the measure of minor arc plus the measure of major arc is equal to 360 degrees

The measure of minor arc is less than 180 degrees

The measure of major arc is greater than 180 degrees

In this problem

Arc BDC is a major arc

Arc BC is a minor arc

Answer: 80 feet

Step-by-step explanation:

10 yard= 30 feet

2[l + b]

2{30+10}

The answer is (-4,3) so C

Answer:

[tex]\boxed{\text{c) (-4, 3)}}[/tex]

Step-by-step explanation:

When you reflect a point (x, y) across the y-axis, the y-coordinate remains the same, but the x-coordinate gets the opposite sign: it becomes (-x, y).

Thus, if a point A, say, (4, 3) is reflected across the y-axis, its reflection A' is at

[tex]\boxed{\textbf{(-4, 3)}}[/tex]

Answer:

3,-5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

it is 64 units so 8 units long each

Answer:

B) (21, -14) and (21, -22)

Step-by-step explanation:

Given,

The area of the square = 64 square unit,

Let x be the side of the square,

[tex]\implies x^2 = 64[/tex]

[tex]\implies x = 8[/tex]

Hence, the side of the square = 8 unit,

⇒ The distance between the adjacent vertices in the square = 8 units,

By the distance formula,

The distance between (3, -35) and (3, -28) is,

[tex]\sqrt{(3-3)^2+(-28-(-35))^2[/tex]

[tex]=\sqrt{0+(-28+35)^2}[/tex]

[tex]=\sqrt{7^2}[/tex]

[tex]=7\neq 8[/tex]

Thus, (3, -35) and (3, -28) can not be the vertices of the square.

The distance between (21, -14) and (21, -22) is,

[tex]\sqrt{(21-21)^2+(-22-(-14))^2[/tex]

[tex]=\sqrt{0+(-22+14)^2}[/tex]

[tex]=\sqrt{8^2}[/tex]

[tex]=8[/tex]

Thus, (21, -14) and (21, -22) are the vertices of the square.

The distance between (32, -42) and (32, -7)  is,

[tex]\sqrt{(32-32)^2+(-7-(-42))^2[/tex]

[tex]=\sqrt{0+(-7+42)^2}[/tex]

[tex]=\sqrt{35^2}[/tex]

[tex]=35\neq 8[/tex]

Thus, (32, -42) and (32, -7)  can not be the vertices of the square.

The distance between  (74, 19) and (82, 27) is,

[tex]\sqrt{(82-74)^2+(27-19)^2[/tex]

[tex]=\sqrt{8^2+8^2}[/tex]

[tex]=\sqrt{64+64}[/tex]

[tex]=\sqrt{128}[/tex]

[tex]=8\sqrt{2}\neq 8[/tex]

Thus, (74, 19) and (82, 27) can not be the vertices of the square.

Answer:

3. Additive

4. [tex]x<2[/tex]

5. Graph the linear line. Then, make the line dotted and shade below the line.

Step-by-step explanation:

3. Adding -15 to both sides to isolate the variable.

4.

[tex]-3x+8>2x-2\\5x<10\\x<2[/tex]