two similar trapezoids have areas of 180 cm2 and 45cm2. what is their ratio of similarity

Answer:

4 x 10^12

Step-by-step explanation:

4,000,000,000,000

The quotient is 4*10^12.

(6*10^8) / (1.5*10^-4) = 4*10^(8-(-4)) = 4*10^12

6 divided by 1.5 is 4. When the base is the same, and you're dividing, you subtract the exponents. They both have a base of 10, so 8-(-4) gives you 12. So, it would be 10^12.

Answer:

-18

Step-by-step explanation:

-3-15 = -3 + -15

= -18

Answer:

-18

the universe hates me

Answer:

The centre is (-11, -6) and the radius = 18 units.

(Option 4).

Step-by-step explanation:

If we compare this with the standard form

(x - h)^2 + (y - k)^2 = r^2

- we see that the center is (-11, -6) and the radius id √324.

The center of the circle is at (−11, −6) and the radius is 18 units.

The equation of a circle in general form is (x - h)^2 + (y - k)^2 = r^2 where (h, k) are the coordinates of the center of the circle and r is the radius. Given the equation (x + 11)^2 + (y + 6)^2 = 324, we can see that it is in a similar form but with a positive sign in the brackets. This implies that the center of the circle is at (−11, −6) and that the radius is the square root of 324, which is 18 units.

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Answer:

44°

Step-by-step explanation:

∠ DEB and ∠ AEC are vertical and congruent

Thus ∠ DEB = 58°

The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is

[tex]\frac{1}{2}[/tex] (DB + AC ) = 58° ( multiply both sides by 2 )

DB + AC = 116°, that is

DB + 72° = 116° ( subtract 72° from both sides )

DB = 44°

Answer:

Hey, and also, The Answer to Your question is 44 Degrees.

Step-by-step explanation:

∠ DEB and ∠ AEC are vertical and congruent

Thus ∠ DEB = 58°

The measure of the chord- chord angle DEB is half the sum of the measures of the arcs intersected by the angle and its vertical angle, that is

(DB + AC ) = 58° ( multiply both sides by 2 )

DB + AC = 116°, that is

DB + 72° = 116° ( subtract 72° from both sides )

DB = 44°...... Stay safe Guys.

Answer:

No.

Step-by-step explanation:

Unless you see a bar over one or more of the numbers (specifically 9 or 39), then it is not a repeating decimal, but rather a terminated decimal.

If there is a bar over the number, it means that specific set of numbers are repeated. Another way to tell if it is repeated is if there are dots at the end.

~

Answer:

[tex]252 \: {m}^{2} [/tex]

Step-by-step explanation:

Two Squares area:

[tex]2 \times (6 \times 3) = 36 \: {m}^{2} [/tex]

1 Square perimeter:

[tex]2 \times (6 + 3) = 18 \: m[/tex]

Lateral area:

[tex](18 \times 12) = 216 \: {m}^{2} [/tex]

Total area:

[tex](216 + 36) \: = 252 \: {m}^{2} [/tex]

The surface area of the prism is 252 m².

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Given is rectangular prism with dimensions, 12m × 6m × 3m, we need to find its surface area,

The surface area of a rectangular prism with dimensions, L × W × H, is given by = 2(LH+LW+WH)

Therefore,

SA = 2(12×3+12×6+6×3)

= 2(36+72+18)

= 2 × 126

= 252 m²

Hence, the surface area of the prism is 252 m².

Learn more about surface area click;

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Final answer:

The cost of a single roll of toilet paper is $0.50, calculated by dividing the total cost of $48 by the number of rolls which is 96.

Explanation:

To find the cost of a single roll of toilet paper, we need to divide the total cost by the number of rolls. Craig bought 96 rolls of toilet paper for $48.

To calculate the cost per roll, we use the formula:

Cost per roll = Total cost / Number of rolls

So,

Cost per roll = $48 / 96 rolls

Cost per roll = $0.50 per roll

Therefore, the cost of a single roll of toilet paper is $0.50.

Answer:

A. yes

B. yes

C. no

Step-by-step explanation:

The coordinates of each point are (x, y).

J (-2, -3)

K (0, 2)

L (1, -4)

After being scaled by 1.5 about the origin, the coordinates are (1.5x, 1.5y).

J (-3, -4.5)

K (0, 3)

L (1.5, -6)

1. decimal point 2. decimal 3. hundredth 4. 0.4 5. 1, 0.03 6. 80/100 0.80 7. 0.50 50/100 8. 60/100 0.60 the rest are easy

To find the radius of the sphere formed by melting five metal cubes with 7 cm sides, calculate the combined volume of the cubes and equate it to the volume of the sphere; then solve for the radius, which is approximately 7.24 cm.

To find the radius of the sphere formed by melting five metal cubes, we need to equate the total volume of the cubes to the volume of the sphere. The volume of a cube with a side length of 7 cm is found by the formula V = s³, where s is the side length of the cube. For one cube, this is V = 7 cm x 7 cm x 7 cm = 343 cm³. Since there are five cubes, the total volume is 5 x 343 cm³ = 1715 cm³.

The volume of a sphere is given by the formula V = 4/3 * π * r³, where r is the radius of the sphere. We must solve for r when the volume is 1715 cm³. Setting the volumes equal gives 4/3 * π * r³ = 1715 cm³. Solving for r yields:

r³ = (1715 cm³) / (4/3 * π)

r = (1715 cm³) / (4.14159)^√(1/3)

r ≈ 7.24 cm

Therefore, the radius of the sphere is approximately 7.24 cm.

Answer:

133/3=         147/5 =

  44              29.7

        44-29.7

14 pies can be made.

133/4              147/2

33.25               73.5

        73.5-33.25

40 jars of apple sauce can be made

(I rounded my decimals)

Step-by-step explanation:

3x+4y=133

5x+2y=147

3x+4y=133

-10x-4y=-294

-7x=-161

x=23

3(23)+4y=133

69+4y=133

64=4y

y=16

23 pies and 16 jars of apple sauce

Answer:

under 7 is 35 and the next box is 9 on top and 45 on the bottom

Step-by-step explanation:

you have to multipy the books Jillian read by how many times 3 can go into 15, which is 5 times. You can also divide 15 by 3 to find out if its multiplied by 5.

Answer:

7 minutes

Step-by-step explanation:

If Whitney walks 1 mile at a rate of 1 mile every 7 minutes, then it would take her 7 minutes to walk home from school.

Answer: 1

Step-by-step explanation:

(16+12x)=28

Since 4is a common factor in both terms we take out 4

4(4+3x)=28

Now take 4 to the other side

4+3x = 28/4 = 7

Similarly

3x = 7-4 =3

We end up with 3x=3

So X = 1

Answer:

Step-by-step explanation: 6,5

Answer:

6, 5

Step-by-step explanation:

1+5=6 It moves to the right so it's addition

2+3=5 It moves up so it's addition

Answer:

c would be your answer :-)

Step-by-step explanation:

Trust me bro I just know things

Answer:

The answer C

Step-by-step explanation:

To estimate how many out of 400 seventh graders prefer pepperoni based on the sample, a proportion is used, resulting in approximately 260 students preferring pepperoni pizza.

Ms. Knight wants to throw a pizza party for the seventh graders, and in a random sample, 13 out of 20 seventh graders preferred pepperoni pizza. To estimate how many out of 400 seventh graders would prefer pepperoni, we use a proportion. The proportion of students who prefer pepperoni in the sample is 13/20. To find the number who would prefer pepperoni out of 400, we set up a cross-multiplication:

Solving this equation for x (the number of 7th graders who prefer pepperoni out of 400) gives us:

So, approximately 260 seventh graders would prefer pepperoni pizza out of 400 based on the sample data.

Answer:

8, 2, -4, -10.

Step-by-step explanation:

Each term (except the first one) is obtained by subtracting 6 from the previous one - that is what an = a(n -1) -6 means.

First term = a1 = 8 , so the second term = 8-6 = 2.

The first 4 terms are 8, 2, -4, -10.

This is an arithmetic sequence as there is a common difference of -6.

Answer:

43

Step-by-step explanation:

Answer:

Answer is 43.

Step-by-step explanation:

First off the "of" in the question implies that the two are multiplying but before you do that your expected to get 86 percent into decimal form which is .86 once that is done you can multiple that by 50 giving you 43

To find the number of gallons of a 15% sugar solution needed to mix with a 40% sugar solution to make a 30% sugar solution, set up an equation.

In order to solve this problem, we can set up an equation based on the given information.

Let's say we need to mix 'x' gallons of the 15% sugar solution with the 5 gallons of the 40% sugar solution to get a 30% sugar solution.

The equation would be: 0.15x + 0.40(5) = 0.30(x + 5).

Solving this equation will give us the value of 'x', which represents the gallons of the 15% sugar solution needed.

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Answer:

615,079

Step-by-step explanation:

I hope this is correct! This is the one I can asnwer! I hope this helps. Also if you use The desmos scientific calculator it may help you with  a lot of questions you may have!

Answer: 2m(3m - 4n + 2)

Step-by-step explanation: Factor 4m - 8mn + 6m^2

                                                         6m^2 - 8mn + 4n

                                                         = 2m(3m - 4n + 2)

Answer:

4y - 7

Step-by-step explanation:

Like terms are terms that have the same variable part. Variable part means the part of a term that is one or more variables and the exponents of the variables.

For example, in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, the terms 2x^2 and 5x^2 have x^2 as their variable part. They are like terms. Likewise, 2y and -3y have y as their variable part. They are like terms. 2x^2 and 5x^2 can be combined into 7x^2. 2y and -3y can be combined into -y. The terms 4xy and 5 are not like terms and cannot be combined. By combining like terms in 2x^2 + 4xy + 5x^2 + 2y + 5 - 3y, you end up with 7x^2 + 4xy - y + 5.

Now we deal with your problem.

-4y - 4 + (-3)

The term -4y has a y as a variable. There is no other term with a y in it, so the term -4y cannot be combined.

The terms -4 and -3 have no variables. These two terms are like terms and can be combined.

-4y - 4 + (-3) =

-4y - 7

the y int of the function y = -2x + 8 is 8 or (0,8) because in y = mx + b form, the b represents the y int.

the graph...the y int is where the line crosses the y axis...and that is (0,8) or 8

Answer:

96 5/8

Step-by-step explanation:

because 96+5/8 is 96 5/8

Answer:

c = 4.24

Step-by-step explanation:

again, you have a^2+b^2=c^2

this time, all you have to do is substitute.

3^2+3^2=c^2

9+9=c^2

18=c^2

take the square root of both sides, you get c=(18)^1/2 or about 4.24.

Answer:

87 pages are filled with stamps.

Step-by-step explanation:

We need to know how many stamps are in the album. Since it can hold 500 but is missing 13%, we can say that it is 87% (100-13=87) complete.

500*0.87=435

The album has 435 stamps.

A page can hold 5 stamps. Thus, 435/5=87

To find out how many stamp album pages are filled, calculate the total number of album pages, determine the number of empty stamps at 13%, and subtract the number of empty pages from the total to get 87 filled pages.

The mathematics problem presented asks how many pages of a stamp album are filled with stamps if 13% of the album is empty. To solve this, we need to calculate the total number of stamps that can fit in the album and determine how many stamps equivalent to 13% of the album are missing. With 500 stamps able to fit in the album and each page holding 5 stamps, we can first find out the total number of pages in the album.

Total number of pages = Total stamps / Stamps per page = 500 / 5 = 100 pages

Next, we calculate 13% of the total number of stamps to find out how many stamps are missing:
Number of empty stamps = Total stamps [tex]\times[/tex] 0.13 = 500 [tex]\times[/tex] 0.13 = 65 stamps

Now, we find out the number of empty pages:
Number of empty pages = Empty stamps / Stamps per page = 65 / 5 = 13 pages

Thus, the number of filled pages:
Total pages - Empty pages = 100 - 13 = 87 filled pages.