Can someone help me find the scale factor and the missing sides please?
1 answer:
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Answer:
The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
Step-by-step explanation:
Given : A roller coaster train with 6 passenger cars and the front decoration has a mass of 3500 kg. when the train has the front decoration and only 4 passenger cars, it has a mass of 2400 kg.
To find : What is the mass of the decoration and of each passenger car?
Solution :
Let the mass of each passenger is x.
Let the mass of front decoration is y.
- When the number of passenger = 6
Mass of 6 passengers and front decoration = 3500 kg.
The equation form is ..........[1]
- When the number of passengers = 4
Mass of 4 passengers and front decoration = 2400 kg.
The equation form is ........[2]
Solving equation [1] and [2]
Subtract equation [2] from [1],
Put value in [1],
Therefore, The mass of each passenger is 550 kg.
The mass of front decoration is 200 Kg.
Answer:
a). y = 4.5
b) Scale factor =
Step-by-step explanation:
a). Since, polygon Q is the scaled copy of polygon P
Both the figures will be similar.
Therefore, their corresponding sides will be proportional.
If x = 6,
y =
y = 4.5
b). Since, polygon Q is the scaled copy of polygon P,
Polygon Q will be the image of preimage polygon P.
Scale factor =
=
The volume of the original cone is multiplied by 27
<h3><u>Solution:</u></h3>We have been given that the height and radius of a cone are each multiplied by 3.
We need to find what effect it has on the volume of the cone.
<em><u>The volume of the original cone is given as follows:</u></em>
Now, the radius and height are multiplied by 3.
Therefore, the new radius is ‘3r’ and the new height is ‘3h’.
Hence the new volume is
original volume of cone x 27 = volume of new cone
Therefore, the original volume of cone is multiplied by 27