For this case what we can do is the following rule of three:
152 -----> 2
x --------> 20
We clear the value of x:
x = (20/2) * (152)
x = 1520 tons
Answer:
in order to locate 20 ounces of diamonds the company needs:
x = 1520 tons of rock
The first thing we must do in this case is to rewrite the equation correctly:
T = 2 * pi * root (l / 32)
From here, we clear l:
T / (2 * pi) = root (l / 32)
l / 32 = (T / (2 * pi)) ^ 2
l = 32 * (T / (2 * pi)) ^ 2
Substituting values:
l = 32 * (1.57 / (2 * 3.14)) ^ 2
l = 2 feet
Answer:
the length is:
l = 2 feet
Answer:
(C) 50π
Step-by-step explanation:
For this problem, we need to find a way to relate the inner circle, to the square, to the outer circle.
Given that we know the area of a circle is πr^2, and our inner circle has a area of 25π, we can find the radius.
25π = πr^2
25 = r^2
5 = r
Note, that the diameter of the inner circle is parallel to the side of the square, meaning that the diameter of the inner circle is the length of the side of the square.
diameter = 2 * radius
d = 2 * 5 = 10.
Now that we know the value of the side of the square, we can find the length of the diagonal of the square, which is the diameter of the outer circle.
Using the properties of the 45-45-90 right triangle, we can say that the diagonal of the square is the length of the side times sqrt(2).
Outer_Diameter = 10 * sqrt(2)
Now to find the outer area, we need the formula for the area of a circle. Note that the diameter is twice the radius, so we will simply divide by 2.
A = πr^2
A = π * [ ( 10 * sqrt(2) ) / 2 ]^2
A = π * [ 5 * sqrt(2) ] ^2
A = π * 25 * 2
A = 50π
So the area of the outer circle is 50π.
Cheers.
Answer:
The first thing we need to do is to find the area bounded by:
y = x^3
y = 0
between:
x = 0 and x = 2
This is the integral of the given function between x = 0 and x = 2, written as:
This means that the area of the bounded region is 4 square units.
Now, if we do a full rotation around the x-axis, the volume generated will be equal to the area that we obtained times 2*pi units.
The volume is:
V = (4 square units)*(2*pi units) = 8*pi cubic units.
(Notice that no option coincides with this, there may be a mistake in the options)
Answer:
t = 2n + 3
Step-by-step explanation:
Given
4n = 2(t - 3) ← divide both sides by 2
2n = t - 3 ( add 3 to both sides )
2n + 3 = t
