Fatema loves to run marathons. The last one she participated in took her 2 hours to complete. The year before (2016) , she compl
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Answer:
Step-by-step explanation:
Given [Missing from the question]
Equation:
Interval:
Required
Determine the values of
The given expression:
... shows that the value of is positive
The cosine of an angle has positive values in the first and the fourth quadrants.
So, we have:
Take arccos of both sides
--- In the first quadrant
In the fourth quadrant, the value is:
So, the values of in degrees are:
Convert to radians (Multiply both angles by )
So, we have:
Answer:
280 ft squared
Step-by-step explanation:
To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.
The total area is that of a rectangle: 30 * 15 = 450 ft squared.
Now, the shaded region is made up of a rectangle and a triangle.
- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.
- The triangle has base 12 and height 15, so using the area of a triangle formula: (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.
- The total shaded region is: 80 + 90 = 170 ft squared
Subtract 110 from 450: 450 - 170 = 280 ft squared.
Thus, the answer is 280 ft squared.
Hope this helps!