Answer:
<u><em>6565 = 1010(4) + 2525</em></u>
Step-by-step explanation:
so the equation would be
6565 = 1010x + 2525
x = 4 because
1010 (4) = 4040
and 4040 + 2525 = 6565, so
<u>6565 = 1010(4) + 2525</u>
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
The answer is going to be 100

A water hose had filled up 1⁄3 of a pool after 1⁄2 of an hour. At this rate, how many hours would it take to fill the pool?

It takes 1.5 hours or 1 hour and 30 min. to fill the pool.
Step-by-step explanation: