The perimeter of the square is calculated through the equation,
4x = P
where P is the perimeter and x is the measure of the sides.
When P is 32 units then,
32 units = 4(x)
x = 8 inches
This 8 inches is the diameter of the cylinder formed by the rotation.
The circumference of the base is calculated through,
C = 2πr = πD
Substituting the known values,
C = π(8 units) = <em>8π units
</em><em></em>When π is equal to 3.14, we solve for the numerical value of the cylinder as follows,
<em> C = 8(3.14) = 25.12 units
</em><em></em>Thus, the figure formed is a cylinder with base circumference equal to 25 units. The answer is the third choice. <em>
</em>
Answer: 2 and 7/12
Step-by-step explanation: To subtract 4 - 1 and 5/12, first subtract the fractions. Since 4 has no fraction, imagine the fraction 0/12.
Notice however that we can't subtract 0/12 - 5/12.
So, let's rewrite 4 and 0/12 as 3 + 1 and 0/12 or 3 + 12/12 by changing 1 and 0/12 into an improper fraction.
Now we have 3 and 12/12 - 1 and 5/12.
Now we can subtract our fractions 12/12 - 5/12 and we get 7/12. Next we subtract our whole numbers 4 - 1 to get 3.
So 5 - 1 and 5/12 is 2 and 7/12.
Answer:
4.727
Step-by-step explanation:
An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.
<em>Hope this helps!</em>
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
The distributive property:
