Answer:
4.5 Cubic Feet
Step-by-step explanation:
1. You want to find the volume of the box. (Length x width x height)
2.5 x 2 x 1.5 = 7.5
2. The present has a volume of 3 cubic feet, so you would subtract that from the volume of the box.
7.5 - 3 = 4.5
3. The volume of the empty space in the box is 4.5 cubic feet.
Hope this helped! :)
Step-by-step explanation:
We know:
The sum of the measures of acute angles in a right triangle is equal 90°.
Therefore
(1) A + B = 90°
(2) 90° + B + C = 180° - angles on a straight line
(3) from (2) B + C = 90° → B = 90° - C
(4) from (1) and (3) A + (90° - C) = 90° → A - C = 0
Therefore
A = C → ∠A ≅ ∠C
Answer:
14
Step-by-step explanation:
prime factorization of 100
100 = 2 * 2 * 5 * 5
Sum of all prime factors
2 + 2 + 5 + 5 = 14
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Extra credit
Sum of unique prime factors
2 + 5 = 7
Answer:
the number of revolutions of the rotor required to turn the probe through 44.1° about its central axis is approximately 117 revolution.
Step-by-step explanation:
From the conservation of angular momentum of the motor
Ip× theta p = Im × theta m
Where IP = 6.84 is the rotational inertia of the probe along it central axis
Theta p= 44.1°, Im = 7.17 ×10^-3 is the rotational inertia of the electric motor about it central axis.
Ip× theta p = Im × theta m
6.84 × 44.1 = 0.00717 × theta m
301.644 = 0.00717 × theta m
Theta m= 301.644 /0.00717
= 42,070.3°
Number of revolution =42,070.3°/360
= 117 revolution
Table 3 has the unit rate of 5.2
