Answer:
The answer is 5
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
Answer: 108π m^2
Step-by-step explanation:
Hemisphere means half of a sphere.
Volume of sphere = (4/3)×π×r^3, where r is radius.
So,
volume of hemisphere = half of the volume of sphere
volume of hemisphere = (2/3)×π×r^3
According to question,
volume of hemisphere = 144π m^3
So,
(2/3)×π×r^3 = 144π m^3
(2/3)×r^3 = 144 m^3
r^3 = (144×3)/2
r^3 = 216
r = 6
Now,
Total Surface Area of hemisphere = Curved Surface Area + Area of the Base Circle
= 2πr^2+πr^2
= 3πr^2
= 3π× 6^2
= 108π m^2
Answer:
Completing the table, we have;
Explanation:
Given the equation;
where y is the output and x is the input.
we were given the outputs 1,3,5.
To get the input for each of the given output let us substitute the output into the equation and solve for x;
Therefore, completing the table, we have;
Answer:
100
Step-by-step explanation:
Let us Assume x as the original sides of the square
As we know that
Area of rectangle is
where,
Length is 12 meters
And, the width is 7 meters
Moreover, the area of the rectangle is 66 square meters
Now since the length is increased by 12 meters and the width is decreased by 7 meters
So, the equation would be
(x + 12) (x - 7) = 66
x^2 + 5x - 84 = 66
x^2 + 5x - 150 = 0
Now, we compute the factor of the above equation
(x - 10) (x + 15) = 0
We do not consider the negative root
Therefore the area of original square is
= Side^2
= 10^2
= 100