Answer:
Volume = 2520 cm^3.
Step-by-step explanation:
The volume of a pyramid = 1/3 * area of the base * height.
The base of this pyramid is a triangle and its area
= 1/2 * 18 * 24 cm^2 so the volume of the pyramid is:
1/3 * 1/2 * 18 * 24 * 35
= 2520 cm^3.
Arc length of the quarter circle is 1.57 units.
Solution:
Radius of the quarter circle = 1
Center angle (θ) = 90•
Arc length = 1.57 units
Arc length of the quarter circle is 1.57 units.
Answer:
9.8 units
Explanation:
According to Pythagoras theorem, the square of length of the hypotenuse is equal to the sum of squares of lengths of other two sides.
Let the third side be x units.
Then,
x² + 10² = 14²
=> x² + 100 = 196
=> x² = 196 - 100
=> x² = 96
=> x = √96
=> x = 4√6
=> x = 9.79....
=> x = 9.8 (Rounding to the nearest tenths)
So, the length of the third side is 9.8 units.
The prime factorization of 15 is 1 * 3 * 5
Answer: 0.685 meters
Step-by-step explanation:
