Answer:

Step-by-step explanation:
The LCM of 14, 21 and 6 is 42
We require to change the fractions to fractions with a denominator of 42
+
+ 
=
+
+
← add the numerators, leaving the denominator
= 
=
← divide both values by 2
=
← in simplest form
Answer:
120 degrees
Step-by-step explanation:
360/3=120
Given parameters:
Net worth of Cesar = 8250.63
Liabilities = 3222.35
Unknown:
Cesar's asset = ?
Solution:
A person's net worth is their Assets minus liability;
Net worth = Assets - Liabilities
Assets = Net worth + Liabilities
For Cesar;
Assets = 8250.63 + 3222.35 = 11472.98
Cesar's assets is 11472.98
Answer:
Area_lawn = 393.75 π ft^2
Step-by-step explanation:
Maximum radius : 30 feet
Minimum radius: 30 feet - 0.25*(30feet) = 22.5 feet
(25 percent reduction)
To find the area of lawn that can be watered, we just need to calculate the area for the maximum radius and the minimum radius, and then subtract them.
Since the sprinklers have a circular area:
Area = π*radius^2
Max area = π*(30 ft)^2 = 900π ft^2
Min area = π*(22.5 ft)^2 = 506.25π ft^2
Maximum area of lawn that can be watered by the sprinkler:
Area_lawn = Max area - Min area = 900π ft^2 -506.25π ft^2
Area_lawn = 393.75 π ft^2