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GrogVix [38]
3 years ago
6

For the filming of a recent sci-fi movie, a model spaceship made to a scale of 1:16 was used. In the movie, the ship is supposed

to be 104 feet long.Set up a proportion and solve it to find the length of the model. ( Hint: the model is smaller than the real ship)
Mathematics
1 answer:
Lunna [17]3 years ago
8 0

Answer: 6.5 feets

Step-by-step explanation:

The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.

In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,

1:16 = x:104

1/16 = x/104

16x = 104

x = 104/16 = 6.5feets

So the length of the model is 6.5 feets

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It will take 22 truck loads to haul all the dirt away.

42×29.7×8=9912

9912÷425.5=42 truckloads

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2 years ago
When Carson runs the 400 meter dash, his finishing times are normally distributed with a mean of 63 seconds and a standard devia
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Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.

Step-by-step explanation:

The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below

68% of data falls within the first standard deviation from the mean.

95% fall within two standard deviations.

99.7% fall within three standard deviations.

From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.

2 standard deviations = 2 × 0.5 = 1

63 - 1 = 62 seconds

63 + 1 = 64 seconds

Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.

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The temperature increases and the particles will move faster.

Step-by-step explanation:

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In ABC, A = 4x, B = 3x + 1, C = 7x + 11. List the sides of ABC in order from shortest to longest.
BlackZzzverrR [31]

Sum of all angles of a triangle is equal to 180°. Therefore,

A + B + C = 180

Given that, A = 4x, B = 3x + 1, C = 7x + 11.

Hence, we can set up an equation as following:

4x + 3x + 1 + 7x + 11 = 180

14x + 12 = 180 Combine the like terms.

14x + 12 -12 = 180 - 12 Subtract 12 from each sides.

14x = 168

\frac{14x}{14} =\frac{168}{14} Divide each sides by 14.

So, x= 12.

Now by plug in x=12 in the given expressions of A, B and C we can get the measure of eah angles of the triangle. Therefore,

A = 4x = 4(12) = 48

B= 3x + 1= 3(12) + 1 = 36 + 1 = 37

C= 7x + 11 = 7(12) + 11 = 84 + 11 =95

From the above result we can see that C is the largest angle and B is the smallest angle.

There is a relationship of a triangle which state that the largest side is opposite side of the largest angle and similarly smallest side is opposite side of the smallest angle.

Here AB is the opposite side of the largest angle C. So, AB is the largest side.

Similarly AC is the smallest side.

So, the order from shortest to longest is B: AC, BC, AB

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3 years ago
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