9514 1404 393
Answer:
Step-by-step explanation:
The lateral surface area is the product of half the circumference, and the slant height:
LA = πrh = π(11.4 cm)(23 cm) = 262.2π cm²
The total surface area adds the area of the base to that:
A = πr² +LA = π(11.4 cm)² +262.2π cm² = (129.96 +262.2)π cm²
A = 392.16π cm²
The result of rolling a number cube 7 times is a 7-digit number composed of digits 1,2,3,4,5 and 6 so that digits can repeat. The total number of possibilities is 6^7.
The number of possibilities where 4 appears exactly two times is 5^5*(7!-6!/2).
5^5 is the number of 5-digits numbers composed of digits 1,2,3,5 and 6 so that digits can repeat.
7! is the number of permutations of digits 1,2,3,4,4,5 and 6.
6! is the number of permutations of digits 1,2,3,{4,4},5 and 6.
We don't want to subtract all numbers where digits 4 appear side by side. That's why we must divide 6! by 2.
Finally, the probability is P=5^5(7!-6!/2)/7^7
Answer:
Surface area of the wood to be painted = (
+ r
)
- 16
Step-by-step explanation:
Surface area of a cone is given as the sum of the surface area and the area of its base.
i.e Surface area = 
+
Lr
where: L is the length of its slant height and r is the radius.
Applying the Pythagoras theorem,
L = 
Thus,
Surface area =
r (r +
)
The given cylindrical hole has a radius of 4 cm and depth 2 cm.
The area of one of its circular surfaces = 

=
× 
= 16

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.
Surface area of the wood to be painted =
r (r +
) - 16
Answer:
y=5x+3
Step-by-step explanation:
I learned it in school :)
Answer: The axis of symmetry is x=1.
Explanation:
The given function is,

The degree of the equation is 2. SInce it is a quadratic function therefore the graph of the function is a parabola.
The axis of symmetry of a parabolic function
is a vertical line,

Since the value of a is 5m b is -10 and c is 7, So the axis of symmetry is,



Therefore, the axis of symmetry is x=1.