Identify the graph that correctly represents the inequality |x + 1| + 2 > 5.
1 answer:
You might be interested in
Firts, Let 
be the repeated decimal that we are trying to convert , so 
equation (1)
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
(2)
Subtract equation (1) from equation (2):
Solve for
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
.
Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
Subtract equation (1) from equation (2):
Solve for
We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>
To calculate the volume of this figure, we just have to find the volume of the hemisphere and the volume of the cone, then sum them up.
The volume of a hemisphere (the half of a sphere) is given by the formula:
Where r is the radius.
The volume of a cone is given by the formula:
Where h is the height of the cone.
From the figure we have:
r = 5.3in
h = 9 in
Then, when we substitute these values into the above formulas, we get:
For the hemisphere:
The volume of the hemisphere is 311.6in^3
For the cone:
As mentioned, the volume of the whole figure is the sum of the volume of the cone and the volume of the hemisphere, then, the volume of the figure is:
V=311.6in^3 + 264.7in^3 = 576.3in^3
Then, the correct answer is option A