A souvenir maker wants to create a scale model of the Empire State Building. The Empire State Building is 1,472 feet tall and has a base with dimensions 286 ft by 286 ft. If the model is 6 in. tall, what are the approximate dimensions of its base in inches? (Round your answer to the nearest tenth of an inch.)
A) 1.2 in. by 1.2 in.
B) 1 in. by 1 in.
C) 0.2 in. by 0.2 in.
D) 2.3 in. by 2.3 in.

Answer:

It's 2m + 4

Step-by-step explanation:

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.

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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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.

The correct answer is tan A

Answer:

tan A

Step-by-step explanation:

Using the notation SOH CAH TOA

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

from the triangle,

hyp = 13 while opp and adj are 12 and 5 respectively

therefore, the ratio 12:5

= tan = opp/adj = 12/5

Answer:

d.  measure the segment

Step-by-step explanation:

Two segment is said to be congruent segment if the measure of both segments are same and identical to each other.

So, for drawing congruent segments firstly we have to measure the segment.

Then draw a point.

Then label two points

and lastly draw a ray.

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 :))

Please mark brainlyiest if possible because I just need 2 more brainlyiest until I reach Virtuoso. Also leave a thanks if you found this helpful!

Answer:

WP − Y > H

Step-by-step explanation:

I did the test and got it right

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 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.