Answer: X = 62°, Y = 68°, Z = 50°
Step-by-step explanation:
From the given picture, the angles of Δ LPN are ∠L= 62° and ∠ N = 50°
By angle sum property of triangle ,
∠P=180°-(62°+50°)
⇒∠P=180°-112°
⇒∠P=68°
Hence, ∠P=68°
Since, ΔXYZ ∼ ΔLPN [given]
Also, the corresponding angles of similar triangle are equal.
Therefore, ∠L=∠X 62° , ∠P=∠Y=68° and ∠ N =∠Z= 50°
20100 = 16000 * (1.02)^ t
20100/16000 = 1.02^t
1.25625 = 1.02^t
log 1.25625 = t * log 1.02
t = log 1.25625 / log 1.02
= 11.5
Answer:
36,000
Step-by-step explanation:
if you multiply 12,000 and 3 you get 36,000.
Answer:
73920
Step-by-step explanation:
Number of ways to choose 9 appetizers from 12: ₁₂C₉
Number of ways to choose 3 main courses from 8: ₈C₃
Number of ways to choose 2 desserts from 4: ₄C₂
The total number of ways is:
₁₂C₉ × ₈C₃ × ₄C₂
= 220 × 56 × 6
= 73920
