Answer:
The arc length of the semicircle is 
or 
Step-by-step explanation:
The complete question in the attached figure
we know that
The circumference of a semicircle is given by the formula
where
D is the diameter of the semicircle
we have
substitute
----> exact value
Assume
----> approximate value
therefore
The arc length of the semicircle is or
Answer:
The remainder is 4.
Step-by-step explanation:
Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:
When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?
The explanation of the answer is now given as follows:
Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.
Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.
Therefore, we have:
Sum of the possible values of k = 7 + 14 = 21
Also, we have:
Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.
Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.
Answer:
A
Step-by-step explanation:
B, C and D are all equations.
A is the only one that is not.
The answer is A.
Answer:
(-2, 5/3)
Step-by-step explanation:
Step 1: Write out systems of equations
y = 2/3x + 3
x = -2
Step 2: Substitution
y = 2/3(-2) + 3
y = -4/3 + 3
y = 5/3
Step 3: Write solution
(-2, 5/3)
Answer:
1 dollar every 1/39 hour
Step-by-step explanation:
If Christopher earns $78 in two hours, he must earn $39 dollars in one hour because 78/2 is 39. Therefore, every hour Christopher earns $39. To find the amount of hours per dollar, divide 1, the hour, by 39, the money per hour, to get 1/39.
