Answer:
x = 3
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem.
Step-by-step explanation:
Let us assume that the triangle Δ ABC has vertices A(x,3), B(-3,-1) and C(-1,-4) and it is a right triangle.
We have to determine x.
Applying the Pythagoras Theorem,
AB² + BC² = AC² {If AC is the hypotenuse of the right triangle}
⇒ [(x + 3)² + 4²] + [(- 2)² + 3²} = (x + 1)² + 7²
⇒ x² + 6x + 38 = x² + 2x + 50
⇒ 4x = 12
⇒ x = 3 (Answer)
This triangle ABC will be a right triangle as its sides obey the Pythagoras theorem. (Answer)
6(1/2 + 2/3 + 3/4)
= 6(1/2) + 6(2/3) + 6(3/4)
= 3 + 4 + 4 1/2
= 11 1/2
Answer
11 1/2 (23/2 or 11.5)
A tank with capacity T gallons is empty. Tank will be filled in minutes
<u>Solution:</u>
Given, A tank with capacity T gallons is empty.
We have to find how many minutes will tank be filled?
Now, Water flows into the tank from pipe X at the rate of X gallons per minute,
And water is pumped out by pipe Y at the rate Y gallons per minute,
Then, together in one minute the amount of water filled will be x – y gallons [as X is greater than Y]
Now, the time take to fill tank =
Hence tank will be filled in minutes
The angle between w and u is approximately