A. The number of fabric-pattern-color combinations is 4 * 13 * 9 = 468
B. P(1st choice) = no of novels / total books = 3/6 = 1/2
P(2nd choice) = no of remaining novels/ total remaining books = 2/5
P(both novels) = 1/2 * 2/5 = 1/5 (without replacement assumed)
C. P(1st choice) = no of biographies / total books = 2/6 = 1/3
P(2nd choice) = no of remaining biographies/ total remaining books = 1/5
P(both biographies) = 1/3 * 1/5 = 1/15 (without replacement assumed)
D. P(1st choice) = no of history books / total books = 1/6
P(2nd choice) = no of novels/ total remaining books = 3/5
P(a history, then a novel) = 1/6 * 3/5 = 1/10 (without replacement assumed)
Answer:
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by the upside-down fraction.
(5/8) ÷ (2/3) = (5/8) ⋅ (3/2) = 15/16
Answer:
~77°
Step-by-step explanation:
cosQ = 9/40
inverse cosine(9/40) ≈ 77° = Q
Hi there!
• Base, b = 8 units
• Altitude, a = 10 units
Area of Triangle =
× b × a =
× 8 × 10 = 40 units.
Hence,
Th' required area of triangle is 40 units
~ Hope it helps!
Answer:
17
Step-by-step explanation:
QS and RS equal the same
5x - 8 = 3x + 2
-3x +8 -3x +8
2x = 10
x = 5 you would then plug x into QS
5(5) - 8
25 - 8
17
