For this case, the full length of the log is equal to 1.
Therefore, the remaining length, we can obtain it by means of the following expression:
Rewriting we have:
Then, subtracting both numbers we have:
Answer:
The remaining amount of log is given by:
Answer:
863.5 ft³
Step-by-step explanation:
Given that :
Diameter, d = 10 ft
Height, h = 11 feets
Radius of tank, r = d/ 2 = 10ft / 2 = 5 ft
The volume of a cylinder is calculated using the relation :
Volume = πr²h
Volume = 3.14 * 5^2 * 11
Volume = 3.14 * 25 * 11
Volume = 863.5ft³
The sum of adjacent sides is half the perimeter, so is 25 cm. Since the side lengths are consecutive numbers, they are both nearly half of 25 cm. One side is 12 cm, the other is 13 cm.
These lengths, then, are one leg and the hypotenuse of the right triangle that makes up half the parallelogram. The other leg, the altitude, is found using the Pythagorean theorem (or your knowledge of Pythagorean triples). It is
... altitude = √((13 cm)² -(12 cm)²) = √(25 cm²) = 5 cm
The length of the altitude is 5 cm.
Answer:
Step-by-step explanation:
<u>Coordinates of the points C and D:</u>
The point E has coordinates of (x, y).
The point E is at 3/4 of CD from C and 1/4 of CD from the point D.
<u>Find coordinates of E:</u>
- x = -3 + 1/4(1 + 3) = -3 + 1 = -2
- y = -4 + 1/4(6 + 4) = -4 + 2.5 = -1.5
