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The table below shows which sports events have sold out and which have not.

The height of the kite from the ground is approximately 74.2 feet, calculated using the trigonometric concept of sine. Sine of an angle in a right triangle is the ratio of the length of the side opposite the angle to the length of the hypotenuse.

The subject of the question is the height of a kite, a topic in Trigonometry.Trigonometry deals with the relationships between the sides and angles of triangles. In this case, we're given that a boy is flying a kite with a 100 foot string at an angle of 48 degrees. We can use the concept of sine in Trigonometry, where sine of an angle in a right triangle is the length of the opposite side divided by the length of the hypotenuse.

In this case, the height of the kite from the ground forms the opposite side, the 100 foot string forms the hypotenuse, and the angle of elevation given is 48 degrees. We have the equation:

sin(48) = height / 100

Therefore, the height = sin(48) * 100.

Using a calculator to find the sine of 48 degrees, and then multiplying the result by 100, we get the height of the kite from the ground to be approximately 74.2 feet.

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Final answer:

Light travels at a speed of 186,000 miles per second. Using repeated addition, we find that in 5 seconds, light travels a total of 930,000 miles.

Explanation:

To calculate how far light travels in 5 seconds, we can use repeated addition. Light travels at a speed of about 186,000 miles per second. If we add this number for each second, five times, we can find the total distance light travels in 5 seconds.

Let's perform the repeated addition:

After 1 second, light has traveled 186,000 miles.

After 2 seconds, light has traveled 186,000 miles + 186,000 miles = 372,000 miles.

After 3 seconds, light has traveled 372,000 miles + 186,000 miles = 558,000 miles.

After 4 seconds, light has traveled 558,000 miles + 186,000 miles = 744,000 miles.

After 5 seconds, light has traveled 744,000 miles + 186,000 miles = 930,000 miles.

Therefore, light travels 930,000 miles in 5 seconds.

Answer:

its 54

Step-by-step explanation:

To travel for $12 in a taxi service with an initial fee plus $1.80 per mile, you can travel up to 3 miles.

To determine how far you can travel for $12, you need to consider the initial fee charged by the taxi service and the cost per mile. Let's assume the initial fee is $5. Therefore, you have $12 - $5 = $7 left to spend on miles. Since the cost per mile is $1.80, you can travel $7/$1.80 = 3.89 miles. However, since you cannot travel a fraction of a mile, you can travel up to 3 miles for $12.

The equation that best represents a trend line for the scatter plot is y=−7/6 x+55/6

The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.

We are given the points  (1, 8) and (7,1) on the scatter plot.

Therefore, the slope = (8-1)/(1-7) = -7/6

Now, the equation of line;

y = mx + b

b = y - mx

b = 8 - (-7/6)(1)

b = 8 + 7/6

b = 55/6

The equation becomes;

y = -7/6(x) + 55/6

The answer is y=−7/6 x+55/6

Learn more about slope here:

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The answer would be 1/12 or 2/12 im not sure.

The correct answer is [tex]\frac{1}{36}[/tex]

To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.

Given:

- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.

- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.

- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag

Step 1: Find the total number of possible outcomes.

Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2

Total number of outcomes = 6 × 6 = 36

Step 2: Find the number of favorable outcomes.

Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)

Step 3: Calculate the probability of the desired outcome.

Probability = Number of favorable outcomes / Total number of outcomes

Probability =[tex]\frac{1}{36}[/tex]

The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.

The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.

The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).

The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:

Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.

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For this case, the first thing we must do is to have the same units for both measures.

We have then that by definition:

[tex]1m = 100cm[/tex]

Therefore we have:

[tex]10,000cm * (\frac {1m} {100cm}) = 100m[/tex]

Then, we look for the relationship between both measures:

[tex](\frac {100m} {1000m})[/tex]

Simplifying we have:

[tex](\frac {1m} {10m})[/tex]

Answer:

The simplified ratio that correctly compares 10,000 centimeters to 1000 meters is:

[tex](\frac {1m} {10m})[/tex]