So we know that the area of a full circle is pi multiplied by radius squared
But for a semicircle the area is pi multiplied by radius squared divided by two
So, we do 3.14*3^2/2
Which is 14.13
Answer:
equilateral triangle
Step-by-step explanation:
EQUILATERAL ... all three sides are equal length
ISOSCELES ... two sides are equal length
SCALENE ... none of the three sides are equal length
RIGHT ... one of the angles measures 90 degrees
OBTUSE ... one of the angles measures greater than 90 degrees
ACUTE ... all three angles measure less than 90 degrees
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
Answer:
The half-life of the radioactive substance is of 3.25 days.
Step-by-step explanation:
The amount of radioactive substance is proportional to the number of counts per minute:
This means that the amount is given by the following differential equation:

In which k is the decay rate.
The solution is:

In which Q(0) is the initial amount:
8000 counts per minute on a Geiger counter at a certain time
This means that 
500 counts per minute 13 days later.
This means that
. We use this to find k.







So

Determine the half-life of the radioactive substance.
This is t for which Q(t) = 0.5Q(0). So







The half-life of the radioactive substance is of 3.25 days.
Answer:
/5.2 + 81.9 = 47.2
Step-by-step explanation:
Subtract 81.9 from both sides of the equation
Simplify
Subtract the numbers
Multiply all terms by the same value to eliminate denominators
Cancel multiplied terms that are in the denominator
Multiply the numbers
Solution: k = -180.44