Graph?
well
for
|a|>b solve
a>b and a<-b
|4w+1>11
solve
4w+1>11 and 4w+1<-11
minus 1 both sides
4w>10 and 4w<-12
divide both sides by 4
w>5/2 and w<-3
graph the points -3 and 2.5
shade outside
not including
2.
union means include all common to both
so
2. 1,2,3,4,6,8,9
3. 1,2,3,4,5,7,10
4. interseciton so only ones common to both, so 4
5. null set (empty)
Answer:
6/25
Step-by-step explanation:
P(gray) = 2/5
P(blue) = 3/5
P(1st gray & 2nd blue) = (2/5)*(3/5) = 6/25
As the question already indicated the sequence, so no combination (nCr) should be considered.
The answer is an expression.
Answer: 8s meters
Given: sin theta = 2/5. This tells us that the lengths of the opp side and the hyp are 2 and 5 respectively. The adj side is found using the Pyth. Thm.: 5^2-2^2= 25-4 = 21, so that the adj side is sqrt(21).
The double angle formula for the sine is sin 2theta = 2 sin theta *cos theta.
In this particular problem, the sine of 2theta is 2*(2/5)*[sqrt(21) / 5], or:
(4/25)*sqrt(21).
