Answer:
D) b = 
Step-by-step explanation:
First, move all the terms that do not include b to the left side with S:
S = 2ab + 2bc + 2ac
S - 2ac = 2ab + 2bc
Now, factor out 2b from the right side:
S - 2ac = 2b(a + c)
Divide both sides by 2(a + c):
b = 
Finally, multiply out the denominator:
b =
Answer:
40
Step-by-step explanation:
FAC = FAE + EAD +CAD
We know FAC = 180 and CAD = 50 and EAD = 90
180 = FAE + 90 +50
Combine like terms
180 = FAE + 140
Subtract 140 from each side
180-140 = FAE +140-140
40 = FAE
Answer:
4.80 units (3 s.f.)
Step-by-step explanation:
Hence, length of AB
= √(11+1)^2 - (8+3)^2
= √ 12^2 -11^2
= √ 23
= 4.80 units (3 s.f.)
Answer:
2/15
Step-by-step explanation:
The answer choices to this question do not make sense since probability is a measure that is always <= 1.0
Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles
Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45
Probability of drawing a green tile = 6/45 = 2/15
