Answer:
Step-by-step explanation:
Here we are given with two coordinates and asked to determine the distance between them.
Here we are going to use the distance formula, which is given as under
Where
Replacing these values in the distance formula
2. What are the actual measurements of the closet?
3. If 1 cm represents 12 m, what are the actual measurements of the gym including
the closet?
4. What is the area of the gym?
Answer:
1. 50 meters by 40 meters
2. 20 meters by 10 meters
3. 60 meters by 48 meters
4. DrawingGym Area = 18 sq. cm. and Actual Gym Area = 2592 sq. m.
Step-by-step explanation:
1.
The drawing length of the GYM+CLOSET area is:
5 cm by 4 cm
Since 1 cm represents 10 m in real life, we can say the real life dimensions are:
5cm * 10 = 50 meters
4 cm * 10 = 40 meters
THe actual measurements of gym (including closet):
50 meters by 40 meters
2.
The drawing measurement of the closet would be:
2 cm length given and 1 cm width given
Since we know 1 cm represents 10 meters in real life, the actual measurements would be:
1cm * 10 = 10 meters
2 cm * 10 = 20 meters
The actual dimensions of closet:
20 meters by 10 meters
3.
Gym + Closet area is still 5cm by 4cm in the drawing.
Now, the scale changes. The new scale is:
1cm = 12 meters
So,
5cm * 12 = 60 meters
4 cm * 12 = 48 meters
The actual measurement of Gym and Closet (new scale):
60 meters by 48 meters
4.
First, let find the area of the gym. This will be total area - closet area
We know area of rectangular figure is Length * Width
SO,
Total Area = 5 * 4 = 20
Closet Area = 2 * 1 = 2
Thus,
Gym Area = 20 - 2 = 18
Gym Area = 18 sq. cm.
In real life (1cm = 12 m -- new scale), Gym Area would be:
Gym Area =
Actual Gym Area = 2592 sq. m.
What is the solution to the following inequality?
Answer:
3x - 2x -1 < 4
3x -2x <4+1
x < 4+1
x < 5