Answer:
3. 4,715 (estimate: 5,000)
4. 3,672 (estimate: 3,300)
5. 18,040 (estimate: 16,000)
6. 9,060 (estimate: 9,000)
Explanation:
It is reasonable if your answer is somewhat close to the estimate.
0.8 inches
the volume (V) of a sphere is calculated using the formula
V = πr³
change the subject and express in terms of r
multiply both sides by 3
3V = 4πr³ ( divide both sides by 4π )
r³ = 3V / 4π ( take the cube root of both sides )
r = ∛( 3V /4π )
sphere A with V= 40
r = ∛ (120 / 12.56 ) = 2.122
sphere B with V = 10
r = ∛(30 / 12.56 ) = 1.337
sphere A - sphere B = 2.122 - 1.337 = 0.8 inches ( to nearest tenth )
Answer:
The recoil velocity of the gun is and is pointing in opposite direction to the velocity of the bullet.
Step-by-step explanation:
Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).
We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg
In mathematical terms, we have:
75.6 will be the closest answer
Answer:
Surface Area = 84.8 cm²
Step-by-step explanation:
This wedge is simply a triangular prism.
We are given;
Height of door wedge; H = 5 cm
Height of triangular base;h = 3.7 cm
Congruent sides; S2 = S3 = 5cm
base of triangular side;b = S1 = 4 cm
Now, formula for surface area of triangular prism is;
SA = bh + (s1 + s2 + s3)H
Thus, plugging in the relevant values, we have;
SA = (4 x 3.7) + (4 + 5 + 5)5
SA = 14.8 + 70
SA = 84.8 cm²