The decomposition of the parallelogram into triangle then into a rectangle is shown below
The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet
Area = 15 × 10 = 150 feet²
You want log √(9/25). Recognizing that √9 = 3 and that √25 = 5, we get
log 3/5, which by rules of logs comes out to log 3 - log 5.
To four decimal places:
log 3 - log 5 = 0.4771 - 0.6990, or -0.2218.
Answer:
Her regular weekly pay is $62 and her annual salary is $3100.
Step-by-step explanation:
Given that her hourly wage=$15.50 / hour
As she works 40 hours per week, so her weekly pay = 15.50 x 40 = $62/ week.
If she works 50 weeks each year, so her yearly pay = 62x50=$3100 /year.
Hence, her regular weekly pay is $62 and her annual salary is $3100.
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
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