To find the slope, we must use the formula stated below.
Slope = Change in Y / Change in X = (Y1 - Y2) / (X1 - X2)
Since our coordinates are given as (X, Y), we must pick a coordinate to be #1, and the other coordinate will be #2.
I'll use the first coordinate as our #1.
(3 - 6) / (2 - 7) = (-3) / (-5) = 3/5 which is our answer
Answer:
6 meters by 9 meters
Step-by-step explanation:
<u><em>Step 1: Formula for perimeter of rectangle</em></u>
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
<u><em>Step 2: Find the length and width in terms of x</em></u>
Width = x
Length = 1.5 times width
Length = 1.5x
<u><em>Step 3: Find x</em></u>
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
<u><em>Step 4: Find the length and width</em></u>
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
Given:
Each right triangular tiles has the leg measures of 5.2 cm and 6 cm.
There are 150 tiles in the mosaic.
To find:
The area of the mosaic.
Solution:
We know that, the area of a triangle is:
So, the area of Each right triangular tile is:
There are 150 tiles in the mosaic. So, the area of the mosaic is:
Therefore, the total area of the mosaic is 2340 cm ².
Answer: C
Step-by-step explanation: Because it's the biggest number
We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:
If we consider the position of the person at t = 0, which is:
This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:
Then, the wheel will repeat its position after t = 60 seconds.
Answer: 60 seconds.