Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere = 
radius is given as 4, so,
Volume of Hemisphere = 
Now, Volume of Cone = 
Where radius is 4 and height is 10, so,
Volume of Cone = 
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere = 
Surface Area of Cone = 
We dont need to use the first part, 
since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone = 
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters
Answer:
x=26
Step-by-step explanation:
3x +12 =90
subtract 12 from each side
3x=78
divide 3 from each side
x=26
Answer:
Yes.
Step-by-step explanation:
According to the Transitive property of the Algebraic properties of equality, two values are said to be equal is they are differently equal to a corresponding third party. This is, If a=b and b=c then a=c.
Hence, if x=5 and 5=y, then following the transitive property of Algebraic properties of equality, x=y, hence the Algebraic property of equality Justifies the statement.
Hello There!
As for this problem, we would have to set up an equation in order to determine the missing age. We would do this because we want to find the missing age and by setting up an equation it will help find the age easier, as opposed to manually calculating it. With that said, let's begin to solve.
First, we would create an equation based on what the question says, which would look as:
x + x + 2 = 12
2x + 2 = 12
Subtract two from both sides.
2x = 10
The grand daughter is 5 years old and since the grandson is two years older he is 7.
Thus,
The age of the granddaughter is 5
The age of the grandson is 7
