Divide 150 by 5.
150/5 = 30
Ivan gets four thirties, while Tanya only gets one thirty.
So, Ivan got three more thirties than Tanya did. Three thirties make a ninety.
Answer:
818.4 in²
Step-by-step explanation:
shaded region = area of sector - area of triangle
area of sector = area of circle × fraction of circle
A = π × 27.8² × 
≈ 1011.65 in²
area of triangle = 0.5 × 27.8 × 27.8 × sin150° ≈ 193.21 in²
shaded region = 1011.65 - 193.21 ≈ 818.4 in²
Let the number of marbles be M,
then,
M=6a+4 (when shared among 6 students)
M=7b+4 (when shared among 7 students)
M=8a+4 (when shared among 8 students)
thus
M-4=6a
M-4=7b
M-4=8c
That is M-4 is the smallest number which is a multiple of 6, 7 and 8
Thus we need to find the LCM(6, 7, 8)
LCM(6, 7, 8)=LCM(2*3, 7, 2*2*2) = 2*2*2*3*7=8*21=168
The smallest M-4 is 168,
so the smallest M is 168+4=172
Answer: 172
The trick here is to recognize one or more factors common to each term. For example, 6x4 − 24x3 + 72x2 = x^2(6x^2 - 24x + 72), so x^2 is one common factor. Looking at (6x^2 - 24x + 72), you can easily see that 6 is a common factor, so now we have (6)(x^2)(x^2 - 4x + 12). These last 3 terms do not have a common factor, so the factoring process stops here:
(6)(x^2)(x^2 - 4x + 12)
Answer: FALSE .
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