72oz=. what would 72 oz be in lbs

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

7 0

Answer: 5 pounds

Step-by-step explanation: "Oz" is the abbreviation for ounces and "lb" is the abbreviation for pounds.

To convert 72 ounces into pounds, first find the conversion factor for ounces and pounds.

Conversion factor ⇒ 16 ounces = 1 pound

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Next, notice that we are going from a smaller unit "ounces" to a larger unit "pounds" and when we go from a smaller unit to a larger unit we divide.

So here, we will divide 72 ounces by the conversion factor which is 16.

72 ÷ 16 = 5

Therefore, <em>72 ounces = 5 pounds</em>.

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)

Digiron [165]

Answer:

$(x+2)^2+(y-4)^2=16$

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is $4$ .

We know that the circle is tangent to the $X$ axis at $(-2,0)$

That means the x coordinate of the center has to be $-2$ , as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is $(-2, 4)$ and a point on the edge of the circle (the tangent point) which is $(-2,0)$ . so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius. When we put the numbers in: we get $(x-(-2))^2+(y-(4))^2=4^2$ which can be simplified into $(x+2)^2+(y-4)^2=16$ which is the answer.