Answer:
44%
Step-by-step explanation:
Answer:
7. C. 6
8. H. √34
9. A. (1, 3.5)
10. J. 10
Step-by-step explanation:
7. AB = 2y, BC = 6y, AC = 48
AB + BC = AC (segment addition theorem)
Substitute the above values into the equation
2y + 6y = 48
Solve for y
8y = 48
Divide both sides by 8
8y/8 = 48/8
y = 6
8. Distance between P(2, 8) and Q(5, 3):

Let,






9. Midpoint (M) of segment LB, for L(8, 5) and B(-6, 2) is given as:

Let 

Thus:



10. M = -10, N = -20
Distance between M and N, MN = |-20 - (-10)|
= |-20 + 10| = |-10|
MN = 10
Answer:
To know if Nicholas is correct
4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
Step-by-step explanation:
The question wants you to look for the volume of the cylindrical bucket and the spherical bucket and know if 4 times the volume of the cylindrical bucket will fill the spherical tank.
volume of a cylinder = πr²h
where
r = 6 inches
h = 15 inches
volume of the cylinder bucket = πr²h
volume of the cylinder bucket= π × 6² × 15
volume of the cylinder bucket = π × 36 × 15
volume of the cylinder bucket = 540π inches³
volume of the spherical storage container
volume = 4/3πr³
r = 24/2 = 12 inches
volume = 4/3 × π × 12³
volume = 4/3 × π × 1728
volume = 6912π/3
volume = 2304π inches³
To know if Nicholas is correct 4(540π) inches³ ≥ 2304π inches³
Unfortunately, 2160π inches³ is less than 2304π inches³. This means Nicholas is absolutely wrong .4 times the volume of the cylindrical bucket is less than the volume of the spherical tank.
Answer:
300 bags of 20 kg of premixed are required.
Step-by-step explanation:
Given:
diameter of pond 'd'= 7 m (given)
radius of inner border of pond 'r'= d/2= 7/2 m
The radius of outer circular border 'R'= r+2= 7/2+2= 11/2m
Area of concrete border around the circular pond= area of outer circle- area of inner circle
So, 
=> 22/7 x ((11/2)²-(7/2)²)
=> 22/7 x (121/4-49/4)
=>
=> 56.57 m²
volume of concrete needed= area x height= 56.57 x 0.05= 2.8285 cubic meter
Since 1 cube meter requires 106 x 20 kg bags,
2.8285 cubic meters require bags= 2.8285x106x20 kg
20 kg bags of premixed concrete required= 2.8285x106x20/20
=> 2.8285x106
=> 299.821 or 300 approximately