calculate the mean 12,2,8,6,57

The area of the larger similar triangle can be calculated using the proportion of the squares of the lengths of the corresponding sides. Using this principle, we find that the area of the larger triangle is 72 square inches.

In mathematics, the area (Area) of similar triangles is proportional to the square of their corresponding sides. Given that the side length of the smaller triangle is 4 inches and the side length of the larger similar triangle is 8 inches, we can set up an equation relating the side lengths and areas of the two triangles. The smaller triangle has an area of 18 square inches, and we'll call the area of the larger triangle A.

The equation is (Area of larger triangle / Area of smaller triangle) = (Side of larger triangle / Side of smaller triangle)2. Substituting the given values, we get (A / 18) = (8 / 4)2. Simplifying the right side of the equation gives us (A / 18) = 4. Multiplying each side of the equation by 18 allows us to solve for A, indicating that the area of the larger triangle is 72 square inches.

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The area of the larger triangle is 72 square inches.

Given that the smaller triangle has a side length of 4 inches and an area of 18 square inches, and the larger triangle has a corresponding side length of 8 inches, we can calculate the ratio of the side lengths:

[tex]\[ \text{Ratio of side lengths} = \frac{\text{Side length of larger triangle}}{\text{Side length of smaller triangle}} = \frac{8}{4} = 2 \][/tex]

Now, we can find the ratio of the areas of the two triangles by squaring the ratio of their side lengths:

[tex]\[ \text{Ratio of areas} = \left(\frac{8}{4}\right)^2 = 2^2 = 4 \][/tex]

Since the area of the smaller triangle is 18 square inches, we can find the area of the larger triangle by multiplying the area of the smaller triangle by the ratio of the areas:

[tex]\[ \text{Area of larger triangle} = \text{Area of smaller triangle} \times \text{Ratio of areas} \] \[ \text{Area of larger triangle} = 18 \times 4 \] \[ \text{Area of larger triangle} = 72 \text{ square inches} \][/tex]

Therefore, the area of the larger triangle is 72 square inches.

The point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.

The slope or gradient of a line is a number that describes both the direction X and Y and the steepness of the line. It is the ratio of the vertical change to the horizontal change between any two distinct points on a line.

For the given situation,

The slope of the line, m = 2

The coordinates of the labeled point, (x1, y1) = (3,10)

The point-slope equation of the line is

[tex](y-y1)=m(x-x1)[/tex]

On substituting the above values,

⇒ [tex]y-10=2(x-3)[/tex]

Hence we can conclude that the point-slope equation of the line is option (C), y-10 = 2(x-3) is the correct answer.

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The polynomial 16x+2 is a binomial.

Adding the term xy to the polynomial would make it a trinomial.

Hence, the polynomial 16x+2 is a binomial.

Adding the term xy to the polynomial would make it a trinomial.

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Answer:

It's 2m + 4

Step-by-step explanation:

Answer:

Option 4 - She will have $16,126.80

Step-by-step explanation:

Given : Gracie Shay wants to buy a new Hummer in 5 years. Gracie estimates the cost of the Hummer will be $28,000. If she invests $12,000 now, at a rate of 6 percent compounded semiannually.

To find : Which option she will have ?

Solution :

Using compound interest formula,

[tex]A=P(1+r)^t[/tex]

Where, A is the amount  

P is the principle P=12,000    

Compounded semiannually,

r is the rate 6%=0.06

[tex]r=\frac{0.06}{2}=0.03[/tex]

t is the time 5 years

[tex]t=5\times 2=10[/tex]

Substitute the value,

[tex]A=P(1+r)^t[/tex]

[tex]A=(12000)(1+0.03)^{10}[/tex]

[tex]A=12000\times (1.03)^{10}[/tex]

[tex]A=12000\times 1.3439[/tex]

[tex]A=16126.99[/tex]

The amount she will have $16126.99.

Therefore, Option 4 is correct.

After setting up a system of equations to represent the total number of tickets and the relationship between student and adult tickets, the equations were solved to find that 111 adult tickets were sold.

The question involves solving a numerical problem where we are given that 333 tickets were sold for a school play, consisting of adult tickets and student tickets. The number of student tickets is twice the number of adult tickets sold. We can express this with two equations and solve for the number of adult tickets.

Let A be the number of adult tickets and S be the number of student tickets. The following equations represent the system we need to solve:

A + S = 333 (Total number of tickets)

S = 2A (Number of student tickets is twice the number of adult tickets)

To solve for A, we can substitute the second equation into the first:

A + 2A = 333

3A = 333

A = 333 / 3

A = 111

Therefore, 111 adult tickets were sold.

Answer:

B is the right answer [tex]100^{o}[/tex]

Step-by-step explanation: Hope This Helps ;)

The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Given that,

The product of a number and 3 = 3n

Increased by 5 = 3n + 5

7 less than twice the number = 2n - 7

Therefore,

3n + 5 = 2n - 7

3n - 2n = -7 - 5

n = -12

Hence "The equation which can determine the number n for the given condition is 3n + 5 = 2n - 7 and that number will be -12".

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The recursive rule for the sequence f(n) = 2 + (-3)(n-1) is f(1) = 2 and f(n) = f(n-1) - 3 for n > 1, where each term is 3 less than the previous term.

The given sequence can be expressed as a recursive formula. A recursive formula defines each term of a sequence using the preceding term(s). To find the recursive rule for the sequence f(n) = 2 + (-3)(n-1), let's write out the first few terms:

Examining the pattern, each subsequent term is 3 less than the previous term. Thus, the recursive rule is:

This means that, to get the next term in the sequence, we subtract 3 from the previous term, starting with the second term.

Answer:

True

Step-by-step explanation:

Percentage is expressed as the part from 100.

Thus, Percentage sign means divide by 100.

Also, it is the resultant number when divided by 100.

Thus, the given statement is absolutely true.

Final answer:

Allyson and Adrian have a 30 ft long bungee cord that stretches to 90 ft. After 2 seconds, the slack in the cord will not be used up. The bungee cord first becomes tight after 3 seconds, when Allyson reaches the end of the cord and Adrian has stretched it completely. The bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.

Explanation:

Physics - Elasticity and Motion:

a) After 2 seconds, Allyson would have moved a total distance of 10 ft/sec × 2 sec = 20 ft. Adrian would have moved a total distance of 8 ft/sec × 2 sec = 16 ft. Since the cord is 30 ft long and stretches to 90 ft, after 2 seconds, the slack in the cord would not be used up.

b) To determine when the bungee cord first becomes tight, we need to find the time it takes for one person to reach the end of the cord and the other person to stretch the cord completely. Allyson will take 30 ft ÷ 10 ft/sec = 3 sec to reach the end, while Adrian will take 30 ft ÷ 8 ft/sec = 3.75 sec to stretch the cord completely. Therefore, the bungee cord first becomes tight after 3 seconds, when Allyson is at the end of the cord and Adrian has stretched it completely.

c) To determine when the bungee cord first touches the corner of the building, we can use similar triangles. The ratio of the stretched length of the cord to the original length is the same as the ratio of the horizontal displacement to the height of the building. Let's assume the height of the building is H. Then, (90 ft - 30 ft) ÷ 30 ft = x ÷ H, where x is the horizontal distance traveled by Adrian. Solving for H, we find H = (90 ft - 30 ft) ÷ 30 ft × x = 2x. Therefore, the bungee cord first touches the corner of the building when Adrian has traveled twice the height of the building.

Answer:

you would be right if you × it then it would be D but you always + so if you do 4/36 + 18/36= 11/18 is your answer

In geometry, zero-dimensional figures do not extend in any direction and include 'points', while one-dimensional figures extend in one direction and include 'lines', 'segments', and 'rays'. Therefore, the zero or one-dimensional figures in the given options are 'point', 'line', 'segment', and 'ray'.

In geometry, quantities can be zero, one, two, or three dimensional. Zero-dimensional figures are those that do not extend in any direction. The only such geometric figure is a point (Option A). One-dimensional figures, on the other hand, extend in one direction. These include a line (Option F), a segment (Option E), and a ray (Option C), all of which have length but no breadth or height. Therefore, the zero-dimensional or one-dimensional figures from the given options are point, line, segment, and ray.

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Answer:

I know I am answering 5 years late but...

the correct answer is

an= 24n + 499

I go to k12 and got this correct on my test :))

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