Response:
Detailed breakdown:
Considering a rectangle measuring 3cm by 4cm with a circle of 1 cm diameter within it:The area of the shaded section equals Area of Rectangle minus Area of CircleThe area of a rectangle is calculated as Length multiplied by WidthArea of shaded region = 12 - 3.142
To solve this question, follow the steps outlined below:
1. Since 1 yard equals 36 inches, to convert 50 yards to inches involves:
2. If he is standing 50 yards away from the school, and the map indicates that the school is 34 inches away from him, when it shows 3 inches the actual distance is:
3. If you express this back in yards:
Consequently, the answer is: 158.82 inches or 4.41 yards.
Answer:
The lines are parallel
Step-by-step explanation:
it's established that
To find the slope between two points, we use the formula
Keep in mind
If lines are parallel, their slopes must be identical
When lines are perpendicular, their slopes are negative reciprocals (the product equals -1)
step 1
Determine the slope of JK
we have
insert the values
step 2
Compute the slope of LM
we have
insert the values
step 3
Analyze the slopes
thus
hence
The lines are parallel
The expression indicates that the total earnings of Mike over the two weeks amount to 2.05x dollars
Solution:
It is given that Mike earned x dollars during the first week at his new job,
While in the second week, he earned 5% more than the earnings of the first week.
To determine: Total earnings over the two weeks
From the information provided,
Earnings in the first week = "x" dollars
Earnings in the second week = 5% more than first week earnings
Thus,
Earnings in the second week = x + 5% of x
Therefore, earnings in the second week equal to 1.05x dollars
The total earnings over the two weeks:
Total earnings = Earnings from first week + Earnings from second week
Thus, the expression for the total earnings of Mike for both weeks is 2.05x dollars