Answer:
1/4h
Step-by-step explanation:
The car trip is 1/2h shorter than the bus trip.
The bus trip is 3/4h long.
Therefore, the length of the car trip is:
3/4h - 1/2h = 1/4h
The car trip is 1/4h long.
Answer:
D
Step-by-step explanation:
The augmented matrix for the system of three equaitons is

Multiply the first row by 5, the second row by -3 and add these two rows:

Subtract the third row from the second:

Divide the third row by 6:

Now multiply the third equation by 26 and add it to the second row:

You get the system of three equations:

From the third equation

Substitute z=2 into the second equation:

Now substitute z=2 and y=5 into the first equation:

The solution is (1,5,2)
7 + (0-7) * 2/3 = 7 - 14/3 = (21 - 14) / 3 = 7/3 = 2.3
You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:

Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2

Now you can calculate the lateral area as follows:

Charlie will need 282.6 m² to cover the lateral side of the cylinder.