Towns A and B are 400 miles apart. If a train leaves A in the direction of B at 50 miles per hour, how long will it take before that train meets another train, going from B to A,
at a speed of 30 miles per hour?

Answer:

C. 50 km

Step-by-step explanation:

The scale on the map is,

1 cm : 20 km,

That is, the ratio of the scaled distance and actual distance =

Let x be the actual distance between the two cities which are 2.5 cm apart on the map,

So, the ratio of scaled distance and actual distance =

Hence, the actual distance between the cities is 50 km.

Option 'C' is correct.

Answer: Currently 8 action films are being shown

Step-by-step explanation:

Step 1

Ratio of action film to other films = 1:2

which means 1 action movie would be shown for every 2 other films

Total  ratio =  1+2 = 3

Step 2

Number of action films shown = ratio of action film/ total ratio  x 24 screens

= 1/3 x 24 = 8

Number of other films shown = ratio of other films/ total ratio  x 24 screens

= 2/3 x 24 = 16

Currently 8 action films and 16 other films are being shown

Answer:

The equation is y-a= b(x-b)

Step-by-step explanation:

I use bold for the slope so you can differentiate the slope term b from the y coordinate value b.

The equation of a line passing through a specific point and having a specific slope can be obtained using the point slope form of a line :

y-y1=m(x-x1) where m is the slope and (x1,y1) is your specific point.

So replacing your values, the point  (x1,y1) =(a,b) and m=b, in this equation we havE:

y-a= b(x-b)

That can be expressed in point slope form and explicit for as.

y = b(x-b) + a = bx -bb +a =

y= bx + (a -bb)

Answer:

(14.7 , 16.9)

Step-by-step explanation:

it is given that tons

σ=3.8 tons

n=49

at 95% confidence level α=1-.95=0.05

=1.96 ( from the standard table)

at 95% confidence level the coefficient interval for μ is

(14.7, 16.9)

The three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

To find the magnitude and direction of the translations applied on a triangle, we need to know the coordinates of the vertices of the original triangle and the coordinates of the vertices of the transformed triangle.

Let's say the coordinates of the original triangle are (x1, y1), (x2, y2), and (x3, y3), and the coordinates of the transformed triangle are (x1', y1'), (x2', y2'), and (x3', y3').

The magnitude of the translation can be found by calculating the distance between the corresponding vertices of the original and transformed triangles using the distance formula. For example, the magnitude of the translation from (x1, y1) to (x1', y1') is given by:

sqrt((x1' - x1)^2 + (y1' - y1)^2)

Similarly, we can find the magnitudes of the other two translations.

The direction of the translation can be found by calculating the angle between the line connecting the corresponding vertices of the original and transformed triangles and the x-axis. We can use the arctangent function to find this angle. For example, the direction of the translation from (x1, y1) to (x1', y1') is given by:

tan^-1((y1' - y1)/(x1' - x1))

Similarly, we can find the directions of the other two translations.

Once we have the magnitudes and directions of the translations, we can describe the transformation using vector notation. The vector of the translation is given by:

< magnitude1, direction1 >

< magnitude2, direction2 >

< magnitude3, direction3 >

This represents the three translations applied on the triangle, where the first element of each vector represents the magnitude of the translation, and the second element represents the direction of the translation.

Learn more about translations here

brainly.com/question/29263020

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