Answer:
(a)31.42 inches
(b)942.48 Square Inches
Step-by-step explanation:
Given a sector of a circle with the following dimensions:
Radius of the circle =60 inches
Central Angle of the sector =30°
(a)Arc Length
Arc Length 
(b)Area of the sector
Area of the sector 
Remark
First of all, you should notice that the number you want must end in 5 to get a remainder of 5. That's because your divisors all end in 0.
Step One
Factor the 3 divisors
40: 2 * 2 * 2 * 5
50: 2 * 5 * 5
60: 2 * 2 * 3 * 5
Step Two
Using these factors, find the LCM
There are 3 twos, 1 Three, and 2 fives.
The LCM is 8*3*25 = 600
Step Three
Find the first number over 1000 that is divisible by 600. That should be 1200 which is 600 * 2
So the answer to your question is 1205
The GCF of 15 and 25 would be 5
Answer:
Step-by-step explanation:
Looking at our particular problem...let's identify everything that's going on here. What's inside the box are the coefficients from the original polynomial, with the last number being the constant. If we have 3 numbers there, which we do, then the first number is a coefficient on x², the second number is the coefficient on x, and the third number is the constant. So from that we know that our original polynomial was a 2nd degree, namely:
3x² + 7x - 20
The number outside the box is the number we are dividing into this original polynomial. This is a number in solution form. That means that x = -4. If
x = -4 is a solution, then the factor is (x + 4) = 0.
The numbers in the very bottom row are the coefficients of what is called the depressed polynomial, and this depressed polynomial is one degree less than the degree with which we started. So this depressed polynomial is a linear one (first degree, which is a line). The very last number in this bottom row is the remainder. If the remainder is 0, then -4 is a solution of the polynomial, it is also a 0, and (x + 4) is a factor of the polynomial. Our remainder is a 0.
So putting that all together gives us the answers as A, C, and E are our choices.
