Answer:
The length of DC in meters is
⇒ A
Step-by-step explanation:
In the circle O
∵ AB passing through O
∴ AB is a diameter
∵ D is on the circle
∴ ∠ADB is an inscribed angle subtended by arc AB
∵ Arc AB is half the circle
→ That means its measure is 180°
∴ m∠ADB =
× 180° = 90°
In ΔADB
∵ m∠ADB = 90°
∵ AD = 5 m
∵ BD = 12 m
→ By using Pythagorase Theorem
∵ (AB)² = (AD)² + (DB)²
∴ (AB)² = (5)² + (12)²
∴ (AB)² = 25 + 144 = 169
→ Take square root for both sides
∴ AB = 13 m
∵ ∠ADB is a right angle
∵ DC ⊥ AB
∴ DC × AB = AD × DB
→ Substitute the lengths of AB, AD, and DB
∵ DC × 13 = 5 × 12
∴ 13 DC = 60
→ Divide both sides by 13
∴ DC =
m
∴ The length of DC in meters is
Answer:
0.03865
Step-by-step explanation:
Since the true density for the two types of trees are given, we would evaluate the average for both of them
Low percentage of juvenile wood density = 0.523 and 0.0543
Average density = 0.523 + 0.0543/2
Average density = 0.55015
Moderate percentage of juvenile wood density = 0.489 and 0.0450
Average density = 0.489 + 0.0450/2
Average density = 0.5115
Therefore, difference in true average density for the two woods are = 0.55015 - 0.51150
= 0.03865
Hey there :)
y =

Since this line is parallel to the line to be found, both have the same slope:

Coordinates: ( - 9 , - 2 )
y - ( -2 ) =

( x - ( -9 ) )


1. D. because if the students she surveyed had just left the movie theatre, meaning they were there to watch a movie, hence the conclusion that they like watching movies can be drawn. 2. D. because the same reason as number 1, the reporter only surveyed people that had shopped there, meaning that the people liked Forever 21 merchandise.