A 250-kVA, three-phase, 480-volt transformer requires 75 gallons of insulating oil to keep it properly cooled. How many liters i
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The volume of a cone varies jointly with the area of the base and the height of the cone.
where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is
Now we use the second set of info, the height and the volume, and we find the area of the base.
Answer: the area of the base is 31 cm^2
where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is
Now we use the second set of info, the height and the volume, and we find the area of the base.
Answer: the area of the base is 31 cm^2
Given, a = -65 and b = 8.
We have to find multiplication of them.
a is negative and b is positive. When we multiply them, we know that the multiplication of positive and negative is negative. That means .
So
= =
=
So we have got the required product.
Multiplication of a and b = -520.
The correct option is option C.
Hello, please consider the following.
When and
are two roots, we can factorise as
So for the first equation, we can say that the sum of the zeros is
and the product is
So we can factorise as below.
And the solutions are
For the second equation, we will complete the square and put the constant on the right side and take the root.
Let's do it!
We take the root, and we find the two solutions
Thank you.