Which conjecture explains the relationship between the angles in the construction below?
1 answer:
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Answer:
Volume of the right pyramid = 288 m²
Step-by-step explanation:
Volume of the pyramid =
From the ΔAOB,
By Pythagoras theorem,
AB² = AO² + OB²
(6√2)² = AO² + (6)²
72 = AO² + 36
AO = √(36) = 6 m
Since base of the pyramid is a square so area of the base = (Length × Width) = (side)²
Now volume of the pyramid =
=
= 288 m²
Therefore, volume of the right pyramid is 288 m².
<h2>Plane's speed without wind i s 117.68 mph</h2>
Step-by-step explanation:
We have speed of plane without wind is x.
Distance to brothers place = 200 miles.
A headwind of 20 mph slowed down the plane's speed on the first leg of the trip
Speed to brothers place = x - 20
We have
Distance = Speed x Time
A tailwind of 20 mph sped up the plane on the return trip
Speed of return trip = x + 20
We have
Distance = Speed x Time
The entire trip took 3.5 hours.
That is
Plane's speed without wind i s 117.68 mph